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Quantum interactions between a laser interferometer and gravitational wavesAug 28 2018LIGO's detection of gravitational waves marks a first step in measurable effects of general relativity on quantum matter. In its current operation, laser interferometer gravitational-wave detectors are already quantum limited at high frequencies, and ... More

Laser-interferometer gravitational-wave optical-spring detectorsJan 18 2002Apr 10 2002Using a quantum mechanical approach, we show that in a gravitational-wave interferometer composed of arm cavities and a signal recycling cavity, e.g., the LIGO-II configuration, the radiation-pressure force acting on the mirrors not only disturbs the ... More

Improving the sensitivity to gravitational-wave sources by modifying the input-output optics of advanced interferometersOct 05 2003Mar 09 2004We study frequency dependent (FD) input-output schemes for signal-recycling interferometers, the baseline design of Advanced LIGO and the current configuration of GEO 600. Complementary to a recent proposal by Harms et al. to use FD input squeezing and ... More

Fundamental Relations between Measurement, Radiation and Decoherence in Gravitational Wave Laser Interferometer DetectorsMar 22 2019As laser interferometer gravitational wave (GW) detectors become quantum noise dominated, understanding the fundamental limit on measurement sensitivity imposed by quantum uncertainty is crucial to guide the search for further noise reduction. Recent ... More

Signal recycled laser-interferometer gravitational-wave detectors as optical springsJul 05 2001Using the force-susceptibility formalism of linear quantum measurements, we study the dynamics of signal recycled interferometers, such as LIGO-II. We show that, although the antisymmetric mode of motion of the four arm-cavity mirrors is originally described ... More

Scaling law in signal recycled laser-interferometer gravitational-wave detectorsAug 18 2002By mapping the signal-recycling (SR) optical configuration to a three-mirror cavity, and then to a single detuned cavity, we express SR optomechanical dynamics, input--output relation and noise spectral density in terms of only three characteristic parameters: ... More

Demonstration of displacement- and frequency-noise free laser interferometry using bi-directional Mach-Zehnder interferometersAug 20 2006Apr 19 2007We have demonstrated displacement- and frequency-noise free laser interferometry (DFI) by partially implementing a recently proposed optical configuration using bi-directional Mach-Zehnder interferometers (MZI). This partial implementation, the minimum ... More

Displacement- and Timing-Noise Free Gravitational-Wave DetectionApr 22 2005Feb 19 2006Motivated by a recently-invented scheme of displacement-noise-free gravitational-wave detection, we demonstrate the existence of gravitational-wave detection schemes insusceptible to both displacement and timing (laser) noises, and are thus realizable ... More

Displacement-Noise-Free Gravitational-Wave DetectionMay 18 2004Feb 22 2005We present a new idea that allows us to detect gravitational waves without being disturbed by any kind of displacement noise, based on the fact that gravitational waves and test-mass motions affect the propagations of light differently. We demonstrate ... More

Quantum noise in second generation, signal-recycled laser interferometric gravitational-wave detectorsFeb 04 2001Jul 06 2001It has long been thought that the sensitivity of laser interferometric gravitational-wave detectors is limited by the free-mass standard quantum limit, unless radical redesigns of the interferometers or modifications of their input/output optics are introduced. ... More

New Generic Ringdown Frequencies at the Birth of a Kerr Black HoleJun 04 2011Oct 10 2011We discuss a new ringdown frequency mode for vacuum perturbations of the Kerr black hole. We evolve initial data for the vacuum radial Teukolsky equation using a near horizon approximation, and find a frequency mode analogous to that found in a recent ... More

Practical speed meter designs for QND gravitational-wave interferometersAug 17 2002In the quest to develop viable designs for third-generation optical interferometric gravitational-wave detectors (e.g., LIGO-III and EURO), one strategy is to monitor the relative momentum or speed of the test-mass mirrors, rather than monitoring their ... More

Universally Valid Error-Disturbance Relations in Continuous MeasurementsMay 31 2015In quantum physics, measurement error and disturbance were first naively thought to be simply constrained by the Heisenberg uncertainty relation. Later, more rigorous analysis showed that the error and disturbance satisfy more subtle inequalities. Several ... More

Optical noise correlations and beating the standard quantum limit in advanced gravitational-wave detectorsOct 04 2000Jul 06 2001The uncertainty principle, applied naively to the test masses of a laser-interferometer gravitational-wave detector, produces a Standard Quantum Limit (SQL) on the interferometer's sensitivity. It has long been thought that beating this SQL would require ... More

Slowly-rotating stars and black holes in dynamical Chern-Simons gravityOct 24 2011Chern-Simons (CS) modified gravity is an extension to general relativity (GR) in which the metric is coupled to a scalar field, resulting in modified Einstein field equations. In the dynamical theory, the scalar field is itself sourced by the Pontryagin ... More

Hybrid method for understanding black-hole mergers: Inspiralling caseSep 01 2011Feb 21 2012We adapt a method of matching post-Newtonian and black-hole-perturbation theories on a timelike surface (which proved useful for understanding head-on black-hole-binary collisions) to treat equal-mass, inspiralling black-hole binaries. We first introduce ... More

A hybrid method for understanding black-hole mergers: head-on caseJul 13 2010Nov 15 2010Black-hole-binary coalescence is often divided into three stages: inspiral, merger and ringdown. The post-Newtonian (PN) approximation treats the inspiral phase, black-hole perturbation (BHP) theory describes the ringdown, and the nonlinear dynamics of ... More

Method to detect gravitational waves from an ensemble of known pulsarsJul 22 2016Combining information from weak sources, such as known pulsars, for gravitational wave detection, is an attractive approach to improve detection efficiency. We propose an optimal statistic for a general ensemble of signals and apply it to an ensemble ... More

Optimal Light Beams and Mirror Shapes for Future LIGO InterferometersJun 13 2008Jun 14 2008We report the results of a recent search for the lowest value of thermal noise that can be achieved in LIGO by changing the shape of mirrors, while fixing the mirror radius and maintaining a low diffractional loss. The result of this minimization is a ... More

Quantum noise in laser-interferometer gravitational-wave detectors with a heterodyne readout schemeFeb 11 2003We analyze and discuss the quantum noise in signal-recycled laser interferometer gravitational-wave detectors, such as Advanced LIGO, using a heterodyne readout scheme and taking into account the optomechanical dynamics. Contrary to homodyne detection, ... More

Detecting gravitational waves from precessing binaries of spinning compact objects: Adiabatic limitNov 26 2002Jul 26 2006Black-hole (BH) binaries with single-BH masses m=5--20 Msun, moving on quasicircular orbits, are among the most promising sources for first-generation ground-based gravitational-wave (GW) detectors. Until now, the development of data-analysis techniques ... More

Reveal non-Markovianity of open quantum systems via local operationsNov 25 2011Non-Markovianity, as an important feature of general open quantum systems, is usually difficult to quantify with limited knowledge of how the plant that we are interested in interacts with its environment-the bath. It often happens that the reduced dynamics ... More

First-Order Perturbative Hamiltonian Equations of Motion for a Point Particle Orbiting a Schwarzschild Black HoleNov 23 2012We formulate a spherical harmonically decomposed 1+1 scheme to self-consistently evolve the trajectory of a point particle and its gravitational metric perturbation to a Schwarzschild background spacetime. Following the work of Moncrief, we write down ... More

Optimizing LIGO with LISA forewarnings to improve black-hole spectroscopyJun 29 2018The early inspiral of massive stellar-mass black-hole binaries merging in LIGO's sensitivity band will be detectable at low frequencies by the upcoming space mission LISA. LISA will predict, with years of forewarning, the time and frequency with which ... More

Photons with sub-Planckian Energy Cannot Efficiently Probe Space-Time FoamApr 24 2015Extra-galactic sources of photons have been used to constrain space-time quantum fluctuations in the Universe. In these proposals, the fundamental "fuzziness" of distance caused by space-time quantum fluctuations has been directly identified with fluctuations ... More

Geometrical Expression of the Angular Resolution of a Network of Gravitational-Wave Detectors and Improved Localization MethodsNov 05 2007Jun 06 2008We report for the first time a method-independent geometrical expression for the angular resolution of an arbitrary network of interferometric gravitational wave (GW) detectors when the arrival-time of a GW is unknown. We discuss the implications of our ... More

Extracting Information about EMRIs using Time-Frequency MethodsDec 06 2006The inspirals of stellar-mass compact objects into supermassive black holes are some of the most exciting sources of gravitational waves for LISA. Detection of these sources using fully coherent matched filtering is computationally intractable, so alternative ... More

Increasing the sensitivity of future gravitational-wave detectors with double squeezed-inputMay 08 2009Aug 12 2009We consider improving the sensitivity of future interferometric gravitational-wave detectors by simultaneously injecting two squeezed vacuums (light), filtered through a resonant Fabry-Perot cavity, into the dark port of the interferometer.The same scheme ... More

Optimizing LIGO with LISA forewarnings to improve black-hole spectroscopyJun 29 2018Jun 25 2019The early inspiral of massive stellar-mass black-hole binaries merging in LIGO's sensitivity band will be detectable at low frequencies by the upcoming space mission LISA. LISA will predict, with years of forewarning, the time and frequency with which ... More

Deep Association Learning for Unsupervised Video Person Re-identificationAug 22 2018Deep learning methods have started to dominate the research progress of video-based person re-identification (re-id). However, existing methods mostly consider supervised learning, which requires exhaustive manual efforts for labelling cross-view pairwise ... More

Non-adiabatic elimination of auxiliary modes in continuous quantum measurementsAug 03 2011Aug 31 2011When measuring a complex quantum system, we are often interested in only a few degrees of freedom-the plant, while the rest of them are collected as auxiliary modes-the bath. The bath can have finite memory (non-Markovian), and simply ignoring its dynamics, ... More

Universal Quantum Entanglement between an Oscillator and Continuous FieldsAug 07 2009Aug 31 2009Quantum entanglement has been actively sought for in optomechanical and electromechanical systems. The simplest such system is a mechanical oscillator interacting with a coherent beam, while the oscillator also suffers from thermal decoherence. For this ... More

Detection template families for gravitational waves from the final stages of binary--black-hole inspirals: Nonspinning caseMay 29 2002Jul 26 2006We investigate the problem of detecting gravitational waves from binaries of nonspinning black holes with masses m = 5--20 Msun, moving on quasicircular orbits, which are arguably the most promising sources for first-generation ground-based detectors. ... More

Transition from inspiral to plunge in precessing binaries of spinning black holesAug 16 2005We investigate the non-adiabatic dynamics of spinning black hole binaries by using an analytical Hamiltonian completed with a radiation-reaction force, containing spin couplings, which matches the known rates of energy and angular momentum losses on quasi-circular ... More

The Quasinormal Modes of Weakly Charged Kerr-Newman SpacetimesSep 19 2014The resonant mode spectrum of the Kerr-Newman spacetime is presently unknown. These modes, called the quasinormal modes, play a central role in determining the stability of Kerr-Newman black holes and their response to perturbations. We present a new ... More

Standard Quantum Limit for Probing Mechanical Energy QuantizationApr 17 2009Aug 12 2009We derive a standard quantum limit for probing mechanical energy quantization in a class of systems with mechanical modes parametrically coupled to external degrees of freedom. To resolve a single mechanical quantum, it requires a strong-coupling regime ... More

Momentum Flow in Black Hole Binaries: I. Post-Newtonian Analysis of the Inspiral and Spin-Induced BobbingFeb 24 2009A brief overview is presented of a new Caltech/Cornell research program that is exploring the nonlinear dynamics of curved spacetime in binary black hole collisions and mergers, and of an initial project in this program aimed at elucidating the flow of ... More

Detecting gravitational waves from precessing binaries of spinning compact objects. II. Search implementation for low-mass binariesAug 16 2005Detection template families (DTFs) are built to capture the essential features of true gravitational waveforms using a small set of phenomenological waveform parameters. Buonanno, Chen, and Vallisneri [Phys. Rev. D 67, 104025 (2003)] proposed the ``BCV2'' ... More

The scalar Green function of the Kerr spacetimeNov 14 2013Apr 18 2014In this paper we study the scalar Green function in the Kerr spacetime using WKB methods. The Green function can be expressed by Fourier-transforming to its frequency-domain counterpart, and with the help of complex analysis it can be divided into parts: ... More

Quantum Limits of Interferometer Topologies for Gravitational Radiation DetectionMay 17 2013Jun 09 2014In order to expand the astrophysical reach of gravitational wave detectors, several interferometer topologies have been proposed to evade the thermodynamic and quantum mechanical limits in future detectors. In this work, we make a systematic comparison ... More

LISA pathfinder appreciably constrains collapse modelsJun 11 2016Jul 20 2016LISA Pathfinder's measurement of a relative acceleration noise between two free-falling test masses with a square root of the power spectral density of $5.2 \pm 0.1 \mbox{ fm s}^{-2}/\sqrt{\rm{Hz}}$ appreciably constrains collapse models. In particular, ... More

Isolation of gravitational waves from displacement noise and utility of a time-delay deviceOct 25 2006Jan 09 2007Interferometers with kilometer-scale arms have been built for gravitational-wave detections on the ground; ones with much longer arms are being planned for space-based detection. One fundamental motivation for long baseline interferometry is from displacement ... More

A duality relation between non-spherical mirror optical cavities and its application to gravitational-wave detectorsNov 13 2005Mar 31 2014In this paper, we analytically prove a unique duality relation between the eigenspectra of paraxial optical cavities with non-spherical mirrors: a one-to-one mapping between eigenmodes and eigenvalues of cavities deviating from flat mirrors by $h(\vec{r})$ ... More

A recipe for echoes from exotic compact objectsJun 19 2017Gravitational wave astronomy provides an unprecedented opportunity to test the nature of black holes and search for exotic, compact alternatives. Recent studies have shown that exotic compact objects (ECOs) can ring down in a manner similar to black holes, ... More

Sensitivity of intracavity filtering schemes for detecting gravitational wavesOct 11 2013Apr 02 2014We consider enhancing the sensitivity of future gravitational-wave detectors by adding optical filters inside the signal-recycling cavity -- an intracavity filtering scheme, which coherently feeds the sideband signal back to the interferometer with a ... More

Quasinormal Modes Beyond KerrJun 17 2014The quasinormal modes (QNMs) of a black hole spacetime are the free, decaying oscillations of the spacetime, and are well understood in the case of Kerr black holes. We discuss a method for computing the QNMs of spacetimes which are slightly deformed ... More

A physical template family for gravitational waves from precessing binaries of spinning compact objects: Application to single-spin binariesOct 06 2003Jul 26 2006The detection of the gravitational waves (GWs) emitted by precessing binaries of spinning compact objects is complicated by the large number of parameters (such as the magnitudes and initial directions of the spins, and the position and orientation of ... More

Gravitational wave signatures of the absence of an event horizon. I. Nonradial oscillations of a thin-shell gravastarSep 01 2009Dec 14 2009Gravitational waves from compact objects provide information about their structure, probing deep into strong-gravity regions. Here we illustrate how the presence or absence of an event horizon can produce qualitative differences in the gravitational waves ... More

Modeling the Dispersion and Polarization Content of Gravitational Waves for Tests of General RelativityAug 03 2016We propose a generic, phenomenological approach to modifying the dispersion of gravitational waves, independent of corrections to the generation mechanism. This model-independent approach encapsulates all previously proposed parametrizations, including ... More

Enhancing the bandwidth of gravitational-wave detectors with unstable optomechanical filtersMay 30 2015For gravitational-wave interferometric detectors, there is a tradeoff between the detector bandwidth and peak sensitivity when focusing on the shot noise level. This has to do with the frequency-dependent propagation phase lag (positive dispersion) of ... More

Quantum noise of white light cavity using double-pumped gain mediumJan 07 2015Laser interferometric gravitational-wave detectors implement Fabry-Perot cavities to increase their peak sensitivity. However, this is at cost of reducing their detection bandwidth, which origins from the propagation phase delay of the light. The "white-light-cavity" ... More

Quantum-state steering in optomechanical devicesNov 19 2012We show that optomechanical systems in the quantum regime can be used to demonstrate EPR-type quantum entanglement between the optical field and the mechanical oscillator, via quantum-state steering. Namely, the conditional quantum state of the mechanical ... More

Achieving ground state and enhancing entanglement by recovering informationMar 22 2010For cavity-assisted optomechanical cooling experiments, it has been shown in the literature that the cavity bandwidth needs to be smaller than the mechanical frequency in order to achieve the quantum ground state of the mechanical oscillator, which is ... More

Towards low-latency real-time detection of gravitational waves from compact binary coalescences in the era of advanced detectorsAug 16 2011Electromagnetic (EM) follow-up observations of gravitational wave (GW) events will help shed light on the nature of the sources, and more can be learned if the EM follow-ups can start as soon as the GW event becomes observable. In this paper, we propose ... More

Gravitational-wave signatures of the absence of an event horizon. II. Extreme mass ratio inspirals in the spacetime of a thin-shell gravastarJan 18 2010We study gravitational-wave emission from the quasi-circular, extreme mass ratio inspiral of compact objects of mass m0 into massive objects of mass M>>m0 whose external metric is identical to the Schwarzschild metric, except for the absence of an event ... More

A quasi-physical family of gravity-wave templates for precessing binaries of spinning compact objects: Application to double-spin precessing binariesMay 17 2004Jul 26 2006The gravitational waveforms emitted during the adiabatic inspiral of precessing binaries with two spinning compact bodies of comparable masses, evaluated within the post-Newtonian approximation, can be reproduced rather accurately by the waveforms obtained ... More

Open quantum dynamics of single-photon optomechanical devicesOct 14 2011May 04 2012We study the quantum dynamics of a Michelson interferometer with Fabry-Perot cavity arms and one movable end mirror, and driven by a single photon --- an optomechanical device previously studied by Marshall et al. as a device that searches for gravity ... More

Quantum expander for gravitational-wave observatoriesMar 14 2019Quantum uncertainty of laser light limits the sensitivity of gravitational-wave observatories. In the past 30 years, techniques for squeezing the quantum uncertainty as well as for enhancing the gravitational-wave signal with optical resonators were invented. ... More

Instability of exotic compact objects and its implications for gravitational-wave echoesFeb 21 2019Exotic compact objects (ECOs) have recently become an exciting research subject, since they are speculated to have a special response to the incident gravitational waves (GWs) that leads to GW echoes. We show that energy carried by GWs can easily cause ... More

Pulse-regulated single-photon generation via quantum interference in a $χ^{(2)}$ nonlinear nanocavityOct 10 2018A scalable on-chip single-photon source at telecommunications wavelengths is an essential component of quantum communication networks. In this work, we numerically construct a pulse-regulated single-photon source based on an optical parametric amplifier ... More

Towards the Laboratory Search for Space-Time DissipationApr 10 2015Jun 23 2015It has been speculated that gravity could be an emergent phenomenon, with classical general relativity as an effective, macroscopic theory, valid only for classical systems at large temporal and spatial scales. As in classical continuum dynamics, the ... More

QND measurements for future gravitational-wave detectorsOct 02 2009Jun 11 2010Second-generation interferometric gravitational-wave detectors will be operating at the Standard Quantum Limit, a sensitivity limitation set by the trade off between measurement accuracy and quantum back action, which is governed by the Heisenberg Uncertainty ... More

Interferometers for Displacement-Noise-Free Gravitational-Wave DetectionMar 14 2006Mar 16 2006We propose a class of displacement- and laser-noise free gravitational-wave-interferometer configurations, which does not sense non-geodesic mirror motions and laser noises, but provides non-vanishing gravitational-wave signal. Our interferometer consists ... More

Quasinormal-mode spectrum of Kerr black holes and its geometric interpretationJul 18 2012There is a well-known, intuitive geometric correspondence between high-frequency QNMs of Schwarzschild black holes and null geodesics that reside on the light-ring : the real part of the mode's frequency relates to the geodesic's orbital frequency, and ... More

Suppression of quantum-radiation-pressure noise in an optical springOct 01 2012Dec 05 2013Recent advances in micro- and nanofabrication techniques have led to corresponding improvement in the performance of optomechanical systems, which provide a promising avenue towards quantum-limited metrology and the study of quantum behavior in macroscopic ... More

Quantum back-action in measurements of zero-point mechanical oscillationsJun 04 2012Measurement-induced back action, a direct consequence of the Heisenberg Uncertainty Principle, is the defining feature of quantum measurements. We use quantum measurement theory to analyze the recent experiment of Safavi-Naeini et al. [Phys. Rev. Lett. ... More

Local readout enhancement for detuned signal-recycling interferometersMay 21 2007Aug 22 2007Motivated by the optical-bar scheme of Braginsky, Gorodetsky and Khalili, we propose to add to a high power detuned signal-recycling interferometer a local readout scheme which measures the motion of the arm-cavity front mirror. At low frequencies this ... More

Towards the Fundamental Quantum Limit of Linear Measurements of Classical SignalsAug 02 2016Jun 02 2017The quantum Cram\'er-Rao bound (QCRB) sets a fundamental limit for the measurement of classical signals with detectors operating in the quantum regime. Using linear-response theory and the Heisenberg uncertainty relation, we derive a general condition ... More

Probing macroscopic quantum states with a sub-Heisenberg accuracyMay 22 2009Feb 23 2010Significant achievements in the reduction of classical-noise floor will allow macroscopic systems to prepare nearly Heisenberg-Limited quantum states through a continuous measurement, i.e. conditioning. In order to probe the conditional quantum state ... More

Negative optical inertia for enhancing the sensitivity of future gravitational-wave detectorsOct 06 2010We consider enhancing the sensitivity of future gravitational-wave detectors by using double optical spring. When the power, detuning and bandwidth of the two carriers are chosen appropriately, the effect of the double optical spring can be described ... More

Squeezed-input, optical-spring, signal-recycled gravitational-wave detectorsMar 18 2003Mar 19 2003We theoretically analyze the quantum noise of signal-recycled laser interferometric gravitational-wave detectors with additional input and output optics, namely frequency-dependent squeezing of the vacuum entering the dark port and frequency-dependent ... More

Detecting gravitational-wave memory with LIGO: implications of GW150914May 04 2016Jul 14 2016It may soon be possible for Advanced LIGO to detect hundreds of binary black hole mergers per year. We show how the accumulation of many such measurements will allow for the detection of gravitational-wave memory: a permanent displacement of spacetime ... More

Cosmic Explorer: The U.S. Contribution to Gravitational-Wave Astronomy beyond LIGOJul 10 2019This white paper describes the research and development needed over the next decade to realize "Cosmic Explorer," the U.S. node of a future third-generation detector network that will be capable of observing and characterizing compact gravitational-wave ... More

Branching of quasinormal modes for nearly extremal Kerr black holesDec 13 2012We show that nearly extremal Kerr black holes have two distinct sets of quasinormal modes, which we call zero-damping modes (ZDMs) and damped modes (DMs). The ZDMs exist for all harmonic indices $l$ and $m \ge 0$, and their frequencies cluster onto the ... More

Reply to "On the branching of quasinormal resonances of near-extremal Kerr black holes" by Shahar HodOct 28 2015In a study of the quasinormal mode frequencies of nearly extremal black holes, we pointed out a bifurcation of the mode spectrum into modes with finite decay and modes with vanishing decay in the extremal limit. We provided analytic and semi-analytic ... More

Towards the Fundamental Quantum Limit of Linear Measurements of Classical SignalsAug 02 2016The quantum Cram\'er-Rao bound sets a fundamental limit to how well we can measure classical signals with detectors operating in the quantum regime. Applying linear-response theory and the Heisenberg uncertainty relation, we derive the general condition ... More

Double optical spring enhancement for gravitational wave detectorsMay 20 2008Currently planned second-generation gravitational-wave laser interferometers such as Advanced LIGO exploit the extensively investigated signal-recycling (SR) technique. Candidate Advanced LIGO configurations are usually designed to have two resonances ... More

Entanglement of macroscopic test masses and the Standard Quantum Limit in laser interferometryFeb 27 2007Nov 08 2007We show that the generation of entanglement of two heavily macroscopic mirrors with masses of up to several kilograms are feasible with state of the art techniques of high-precision laser interferometry. The basis of such a demonstration would be a Michelson ... More

Brownian Thermal Noise in Multilayer Coated MirrorsJul 25 2012We analyze the Brownian thermal noise of a multi-layer dielectric coating, used in high-precision optical measurements including interferometric gravitational-wave detectors. We assume the coating material to be isotropic, and therefore study thermal ... More

Summed Parallel Infinite Impulse Response (SPIIR) Filters For Low-Latency Gravitational Wave DetectionAug 16 2011With the upgrade of current gravitational wave detectors, the first detection of gravitational wave signals is expected to occur in the next decade. Low-latency gravitational wave triggers will be necessary to make fast follow-up electromagnetic observations ... More

Quantum back action cancellation in the audio bandDec 25 2018We report on the cancellation of quantum back action noise in an optomechanical cavity. We perform two measurements of the displacement of the microresonator, one in reflection of the cavity, and one in transmission of the cavity. We show that measuring ... More

Quasinormal modes of nearly extremal Kerr spacetimes: spectrum bifurcation and power-law ringdownJul 30 2013We provide an in-depth investigation of quasinormal-mode oscillations of Kerr black holes with nearly extremal angular momenta. We first discuss in greater detail the two distinct types of quasinormal mode frequencies presented in a recent paper (arXiv:1212.3271). ... More

Macroscopic Quantum Mechanics in a Classical SpacetimeOct 01 2012Apr 23 2013We apply the many-particle Schr\"{o}dinger-Newton equation, which describes the co-evolution of an many-particle quantum wave function and a classical space-time geometry, to macroscopic mechanical objects. By averaging over motions of the objects' internal ... More

Preparing a mechanical oscillator in non-Gaussian quantum statesJan 21 2010We propose a protocol for coherently transferring non-Gaussian quantum states from optical field to a mechanical oscillator. The open quantum dynamics and continuous-measurement process, which can not be treated by the stochastic-master-equation formalism, ... More

Beating the standard sensitivity-bandwidth limit of cavity-enhanced interferometers with internal squeezed-light generationFeb 03 2017Feb 13 2017The shot-noise limited peak sensitivity of cavity-enhanced interferometric measurement devices, such as gravitational-wave detectors, can be improved by increasing the cavity finesse, even when comparing fixed intra-cavity light powers. For a fixed light ... More

Visualizing Spacetime Curvature via Frame-Drag Vortexes and Tidal Tendexes II. Stationary Black HolesAug 15 2012Jan 31 2013When one splits spacetime into space plus time, the Weyl curvature tensor (which equals the Riemann tensor in vacuum) splits into two spatial, symmetric, traceless tensors: the tidal field $E$, which produces tidal forces, and the frame-drag field $B$, ... More

Multiband gravitational-wave event rates and stellar physicsJan 31 2019Joint gravitational-wave detections of stellar-mass black-hole binaries by ground- and space-based observatories will provide unprecedented opportunities for fundamental physics and astronomy. We present a semi-analytic method to estimate multiband event ... More

Narrowing the filter cavity bandwidth via optomechanical interactionFeb 20 2014Oct 10 2014We propose using optomechanical interaction to narrow the bandwidth of filter cavities for achieving frequency-dependent squeezing in advanced gravitational-wave detectors, inspired by the idea of optomechanically induced transparency. This not only allows ... More

Visualizing Spacetime Curvature via Frame-Drag Vortexes and Tidal Tendexes III. Quasinormal Pulsations of Schwarzschild and Kerr Black HolesAug 15 2012Jan 31 2013In recent papers, we and colleagues have introduced a way to visualize the full vacuum Riemann curvature tensor using frame-drag vortex lines and their vorticities, and tidal tendex lines and their tendicities. We have also introduced the concepts of ... More

Quantum state preparation and macroscopic entanglement in gravitational-wave detectorsFeb 28 2009Long-baseline laser-interferometer gravitational-wave detectors are operating at a factor of 10 (in amplitude) above the standard quantum limit (SQL) within a broad frequency band. Such a low classical noise budget has already allowed the creation of ... More

Measurable signatures of quantum mechanics in a classical spacetimeDec 19 2016We propose an optomechanics experiment that can search for signatures of a fundamentally classical theory of gravity and in particular of the many-body Schroedinger-Newton (SN) equation, which governs the evolution of a crystal under a self-gravitational ... More

Low-Frequency Terrestrial Gravitational-Wave DetectorsAug 09 2013Direct detection of gravitational radiation in the audio band is being pursued with a network of kilometer-scale interferometers (LIGO, Virgo, KAGRA). Several space missions (LISA, DECIGO, BBO) have been proposed to search for sub-Hz radiation from massive ... More

Laser noise in cavity-optomechanical cooling and thermometryOct 09 2012We review and study the roles of quantum and classical fluctuations in recent cavity-optomechanical experiments which have now reached the quantum regime (mechanical phonon occupancy < 1) using resolved sideband laser cooling. In particular, both the ... More

Proposal for Gravitational-Wave Detection Beyond the Standard Quantum Limit via EPR EntanglementDec 21 2016The Standard Quantum Limit in continuous monitoring of a system is given by the trade-off of shot noise and back-action noise. In gravitational-wave detectors, such as Advanced LIGO, both contributions can simultaneously be squeezed in a broad frequency ... More

Multiband gravitational-wave event rates and stellar physicsJan 31 2019May 09 2019Joint gravitational-wave detections of stellar-mass black-hole binaries by ground- and space-based observatories will provide unprecedented opportunities for fundamental physics and astronomy. We present a semianalytic method to estimate multiband event ... More

Visualizing Spacetime Curvature via Frame-Drag Vortexes and Tidal Tendexes I. General Theory and Weak-Gravity ApplicationsAug 28 2011Feb 01 2012When one splits spacetime into space plus time, the Weyl curvature tensor (vacuum Riemann tensor) gets split into two spatial, symmetric, and trace-free (STF) tensors: (i) the Weyl tensor's so-called "electric" part or tidal field, and (ii) the Weyl tensor's ... More

Astrophysical science metrics for next-generation gravitational-wave detectorsMay 07 2019May 20 2019The second generation of gravitational-wave detectors are being built and tuned all over the world. The detection of signals from binary black holes is beginning to fulfill the promise of gravitational-wave astronomy. In this work, we examine several ... More

Astrophysical science metrics for next-generation gravitational-wave detectorsMay 07 2019May 09 2019The second generation of gravitational-wave detectors are being built and tuned all over the world. The detection of signals from binary black holes is beginning to fulfill the promise of gravitational-wave astronomy. In this work, we examine several ... More

Astrophysical science metrics for next-generation gravitational-wave detectorsMay 07 2019The second generation of gravitational-wave detectors are being built and tuned all over the world. The detection of signals from binary black holes is beginning to fulfill the promise of gravitational-wave astronomy. In this work, we examine several ... More

Momentum flow in black-hole binaries: II. Numerical simulations of equal-mass, head-on mergers with antiparallel spinsJul 05 2009Research on extracting science from binary-black-hole (BBH) simulations has often adopted a "scattering matrix" perspective: given the binary's initial parameters, what are the final hole's parameters and the emitted gravitational waveform? In contrast, ... More