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Novel Josephson effects between multi-gap and single-gap superconductorsJan 21 2002Multi-gap superconductors can exhibit qualitatively new phenomena due to existence of multiple order parameters. Repulsive electronic interactions may give rise to a phase difference of $\pi$ between the phases of the order parameters. Collective modes ... More

Dynamics of one-dimensional Bose liquids: Andreev-like reflection at Y-junctions and absence of the Aharonov-Bohm effectMar 23 2007Apr 14 2008We study one dimensional Bose liquids of interacting ultracold atoms in the Y-shaped potential when each branch is filled with atoms. We find that the excitation packet incident on a single Y-junction should experience a negative density reflection analogous ... More

Far-from-equilibrium field theory of many-body quantum spin systems: Prethermalization and relaxation of spin spiral states in three dimensionsApr 22 2015Oct 13 2015We study theoretically the far-from-equilibrium relaxation dynamics of spin spiral states in the three dimensional isotropic Heisenberg model. The investigated problem serves as an archetype for understanding quantum dynamics of isolated many-body systems ... More

Universal behavior of repulsive two-dimensional fermions in the vicinity of the quantum freezing pointDec 06 2012Jun 13 2013We show by a meta-analysis of the available Quantum Monte-Carlo (QMC) results that two-dimensional fermions with repulsive interactions exhibit universal behavior in the strongly-correlated regime, and that their freezing transition can be described using ... More

Density ordering instabilities of quasi-two-dimensional fermionic polar molecules in single-layer and multi-layer configurations: exact treatment of exchange interactionsSep 17 2011Sep 21 2011We study the in-plane and out-of-plane density ordering instabilities of quasi-two-dimensional fermionic polar molecules in single-layer and multi-layer configurations. We locate the soft modes by evaluating linear response functions within the conserving ... More

Collective phenomena in quasi-two-dimensional fermionic polar molecules: band renormalization and excitonsJun 21 2011We theoretically analyze a quasi-two-dimensional system of fermionic polar molecules in a harmonic transverse confining potential. The renormalized energy bands are calculated by solving the Hartree-Fock equation numerically for various trap and dipolar ... More

Time dependent impurity in ultracold fermions: orthogonality catastrophe and beyondJun 21 2012Recent experimental realization of strongly imbalanced mixtures of ultracold atoms opens new possibilities for studying impurity dynamics in a controlled setting. We discuss how the techniques of atomic physics can be used to explore new regimes and manifestations ... More

Applications of exact solution for strongly interacting one dimensional bose-fermi mixture: low-temperature correlation functions, density profiles and collective modesOct 29 2005Nov 28 2005We consider one dimensional interacting bose-fermi mixture with equal masses of bosons and fermions, and with equal and repulsive interactions between bose-fermi and bose-bose particles. Such a system can be realized in current experiments with ultracold ... More

Semiclassical solitons in strongly correlated systems of ultracold bosonic atoms in optical latticesFeb 16 2011We investigate theoretically soliton excitations and dynamics of their formation in strongly correlated systems of ultracold bosonic atoms in two and three dimensional optical lattices. We derive equations of nonlinear hydrodynamics in the regime of strong ... More

Variational Polaron Method for Bose-Bose MixturesJan 01 2014We study degenerate mixtures of "heavy" bosons and "light" superfluid bosons using a variational polaron transformation. We consider the Mott insulator-superfluid transition of the heavy species and find that at $T=0$ interaction favors the superfluid ... More

Universal many-body response of heavy impurities coupled to a Fermi seaFeb 28 2017Apr 02 2018In this work we discuss the dynamical response of heavy quantum impurities immersed in a Fermi gas at zero and at finite temperature. Studying both the frequency and the time domain allows one to identify interaction regimes that are characterized by ... More

Properties and Detection of Spin Nematic Order in Strongly Correlated Electron SystemsNov 05 2004Jan 14 2005A spin nematic is a state which breaks spin SU(2) symmetry while preserving translational and time reversal symmetries. Spin nematic order can arise naturally from charge fluctuations of a spin stripe state. Focusing on the possible existence of such ... More

Quantum phase transitions in the Bose-Fermi Kondo modelApr 04 2002May 01 2002We study quantum phase transitions in the Bose-Fermi Kondo problem, where a local spin is coupled to independent bosonic and fermionic degrees of freedom. Applying a second order expansion in the anomalous dimension of the Bose field we analyze the various ... More

Competing orders in thermally fluctuating superconductors in two dimensionsAug 02 2003Feb 06 2004We extend recent low temperature analyses of competing orders in the cuprate superconductors to the pseudogap regime where all orders are fluctuating. A universal continuum limit of a classical Ginzburg-Landau functional is used to characterize fluctuations ... More

Collective excitations of quasi-two-dimensional trapped dipolar fermions: transition from collisionless to hydrodynamic regimeSep 18 2012We study the collective excitations of polarized single-component quasi-two-dimensional dipolar fermions in an isotropic harmonic trap by solving the collisional Boltzmann-Vlasov (CBV) equation. We study the response to both monopole and quadrupole perturbations ... More

Superfluid-insulator transition in Fermi-Bose mixtures and the orthogonality catastropheDec 12 2007The superfluid-insulator transition of bosons is strongly modified by the presence of Fermions. Through an imaginary-time path integral approach, we derive the self-consistent mean-field transition line, and account for both the static and the dynamic ... More

Exactly solvable case of a one-dimensional Bose-Fermi mixtureMay 25 2005Nov 27 2005We consider a one dimensional interacting bose-fermi mixture with equal masses of bosons and fermions, and with equal and repulsive interactions between bose-fermi and bose-bose particles. Such a system can be realized in experiments with ultracold boson ... More

Competing instabilities in quench experiments with ultracold Fermi gases near a Feshbach resonanceJul 20 2011Tunability of effective two body interactions near Feshbach resonances is a powerful experimental tool in systems of ultracold atoms. It has been used to explore a variety of intriguing phenomena in recent experiments. However not all of the many-body ... More

New theoretical approaches to Bose polaronsOct 16 2015The Fr\"ohlich polaron model describes a ubiquitous class of problems concerned with understanding properties of a single mobile particle interacting with a bosonic reservoir. Originally introduced in the context of electrons interacting with phonons ... More

Rydberg impurity in a Fermi gas: Quantum statistics and rotational blockadeJul 17 2019We consider the quench of an atomic impurity via a single Rydberg excitation in a degenerate Fermi gas. The Rydberg interaction with the background gas particles induces an ultralong-range potential that binds particles to form dimers, trimers, tetramers, ... More

Fermionic formalism for driven-dissipative multi-level systemsApr 10 2018We present a fermionic description of non-equilibrium few-level systems. Our approach uses the Keldysh path integral formalism and allows us to take into account periodic drives, as well as dissipative channels. The technique is based on the Majorana ... More

Gaussian TDVP for the Bose-Hubbard modelJul 10 2019We systematically extend Bogoliubov theory beyond the mean field approximation of the Bose- Hubbard model in the superfluid phase. Our approach is based on the time dependent variational principle applied to the family of all Gaussian states (i.e., Gaussian ... More

Fermions and Bosons in Superconducting Amorphous WiresJun 29 2001Jun 30 2001We discuss the destruction of superconductivity in quasi-one-dimensional systems due to the interplay between disorder and Coulomb repulsion. We argue that to understand the behavior of the system one has to study both fermionic and bosonic mechanisms ... More

Fermi polaron-polaritons in charge-tunable atomically thin semiconductorsMar 30 2016The dynamics of a mobile quantum impurity in a degenerate Fermi system is a fundamental problem in many-body physics. The interest in this field has been renewed due to recent ground-breaking experiments with ultra-cold Fermi gases. Optical creation of ... More

Spinor Bosonic Atoms in Optical Lattices: Symmetry Breaking and FractionalizationApr 22 2001May 05 2001We study superfluid and Mott insulator phases of cold spin-1 Bose atoms with antiferromagnetic interactions in an optical lattice, including a usual polar condensate phase, a condensate of singlet pairs, a crystal spin nematic phase, and a spin singlet ... More

Theory of the Resonant Neutron Scattering of High $T_c$ SuperconductorsFeb 15 1995Recent polarized neutron scattering experiments on $YBa_2 Cu_3 O_7$ have revealed a sharp spectral peak at the $(\pi,\pi)$ in reciprocal lattice centered around the energy transfer of $41\ meV$. We offer a theoretical explanation of this remarkable experiment ... More

Bloch oscillations in the absence of a latticeAug 29 2016We experimentally investigate the quantum motion of an impurity atom that is immersed in a strongly interacting one-dimensional Bose liquid and is subject to an external force. We find that the momentum distribution of the impurity exhibits characteristic ... More

One-dimensional Surface Bound States in d-wave SuperconductorsOct 28 2000We present an {\it exact} quantum theory for the bound states in the vicinity of an edge or a line of impurities in a $d_{x^2-y^2}$ superconductor. For a (110)-surface we show that a finite dispersion of the one dimensional band of bound states leads ... More

Quantum Noise Analysis of Spin Systems Realized with Cold AtomsSep 28 2006Oct 12 2006We consider the use of quantum noise to characterize many-body states of spin systems realized with ultracold atomic systems. These systems offer a wealth of experimental techniques for realizing strongly interacting many-body states in a regime with ... More

Vortex-Peierls States in Optical LatticesFeb 12 2006May 10 2006We show that vortices, induced in cold atom superfluids in optical lattices, may order in a novel vortex-Peierls ground state. In such a state vortices do not form a simple lattice but arrange themselves in clusters, within which the vortices are partially ... More

Shiba impurity bound states as a probe of topological superconductivity and Fermion parity changing quantum phase transitionsApr 11 2012Apr 20 2012Spin-orbit coupled superconductors are potentially interesting candidates for realizing topological and potentially non-Abelian states with Majorana Fermions. We argue that time-reversal broken spin-orbit coupled superconductors generically can be characterized ... More

Bilayer Quantum Hall Systems: Spin-Pseudospin Symmetry Breaking and Quantum Phase TransitionsSep 25 2000We discuss and review recent advances in our understaning of quantum Hall systems where additional quantum numbers associated with spin and/or layer (pseudospin) indices play crucial roles in creating exotic quantum phases. Among the novel quantum phases ... More

Measuring entanglement entropy of a generic many-body system with a quantum switchApr 12 2012Entanglement entropy has become an important theoretical concept in condensed matter physics, because it provides a unique tool for characterizing quantum mechanical many-body phases and new kinds of quantum order. However, the experimental measurement ... More

Collective excitations and instabilities in multi-layer stacks of dipolar condensatesDec 10 2008We analyze theoretically the collective mode dispersion in multi-layer stacks of two dimensional dipolar condensates and find a strong enhancement of the roton instability. We discuss the interplay between the dynamical instability and roton softening ... More

Observing Majorana Bound States in p-wave Superconductors Using Noise Measurements in Tunneling ExperimentsJul 28 2006Jun 17 2007The zero-energy bound states at the edges or vortex cores of chiral p-wave superconductors should behave like majorana fermions. We introduce a model Hamiltonian that describes the tunnelling process when electrons are injected into such states. Using ... More

Resonant neutron scattering on the high Tc cuprates and pi and eta excitation of the t-J and Hubbard modelsMar 11 1999We review the explanation for resonant neutron scattering experiments in $YBa_2Cu_3O_{6+\delta}$ and $Bi_2 Sr_2 Ca_2 O_{8+\delta}$ materials from the point of view of triplet excitation in the particle-particle channel, the pi excitation. Relation of ... More

Non-Abelian Holonomy of BCS and SDW Quasi-particlesMay 29 1998Jun 04 1998In this work we investigate properties of fermions in the SO(5) theory of high Tc superconductivity. We show that the adiabatic time evolution of a SO(5) superspin vector leads to a non-Abelian SU(2) holonomy of the SO(5) spinor states. Physically, this ... More

Quantitative Determination of a Microscopic Mechanism of High Tc SuperconductivityJun 26 1998Feb 04 1999Within the t-J model of copper-oxides, the condensation energy can be related to the change in the dynamical spin structure factor between the superconducting and the normal states. By analyzing previous experimental data, we show that the change associated ... More

Spin Bose Glass Phase in Bilayer Quantum Hall Systems at $ν=2$Nov 04 1998We develop an effective spin theory to describe magnetic properties of the $\nu=2$ Quantum Hall bilayer systems. In the absence of disorder this theory gives quantitative agreement with the results of microscopic Hartree-Fock calculations, and for finite ... More

Vortex Molecules in Spinor CondensatesJul 30 2008Condensates of atoms with spins can have vortices of several types; these are related to the symmetry group of the atoms' ground state. We discuss how, when a condensate is placed in a small magnetic field that breaks the spin symmetry, these vortices ... More

Probing and dressing magnetic impurities in a superconductorMay 17 2019We propose a method to probe and control the interactions between an ensemble of magnetic impurities in a superconductor via microwave radiation. Our method relies upon the presence of sub-gap Yu-Shiba-Rusinov (YSR) states associated with the impurities. ... More

Linear response theory for a pair of coupled one-dimensional condensates of interacting atomsJan 17 2007We use quantum sine-Gordon model to describe the low energy dynamics of a pair of coupled one-dimensional condensates of interacting atoms. We show that the nontrivial excitation spectrum of the quantum sine-Gordon model, which includes soliton and breather ... More

Detecting d-wave superfluid and d-density wave states of ultracold Fermions on optical latticesJun 04 2009We propose a pump probe experiment for detecting the d-wave superfluid and d-density wave phases of ultracold Fermions on an optical lattice. The pump consists of periodic modulations of the optical lattice intensity which creates quasiparticle pairs ... More

Bilayer Coherent and Quantum Hall Phases: Duality and Quantum DisorderAug 08 2000We consider a fully spin-polarized quantum Hall system with no interlayer tunneling at total filling factor $\nu=1/k$ (where $k$ is an odd integer) using the Chern-Simons-Ginzburg-Landau theory. Exploiting particle-vortex duality and the concept of quantum ... More

Photo control of transport properties in disorderd wire; average conductance, conductance statistics, and time-reversal symmetryJan 02 2012In this paper, we study the full conductance statistics of disordered one dimensional wire under the application of light. We develop the transfer matrix method for periodically driven systems to analyze the conductance of large system with small frequency ... More

Spin-exchange interactions of spin-one bosons in optical lattices: singlet, nematic and dimerized PhasesJun 08 2003Dec 17 2003We consider insulating phases of cold spin-1 bosonic particles with antiferromagnetic interactions, such as Na-23, in optical lattices. We show that spin-exchange interactions give rise to several distinct phases, which differ in their spin correlations. ... More

Spin wave contribution to the nuclear spin-lattice relaxation in triplet superconductorsJun 21 2005We discuss collective spin wave excitations in triplet superconductors with an easy axis anisotropy for the order parameter. Using a microscopic model for interacting electrons we estimate the frequency of such excitations in Bechgaard salts and ruthenate ... More

Variational Study of Fermionic and Bosonic Systems with Non-Gaussian States: Theory and ApplicationsJul 19 2017We present a new variational method for investigating the ground state and out of equilibrium dynamics of quantum many-body bosonic and fermionic systems. Our approach is based on constructing variational wavefunctions which extend Gaussian states by ... More

Spin-1 Atoms in Optical Superlattices: Single-Atom Tunneling and EntanglementOct 10 2011Jan 10 2012We examine spinor Bose-Einstein condensates in optical superlattices theoretically using a Bose-Hubbard Hamiltonian that takes spin effects into account. Assuming that a small number of spin-1 bosons is loaded in an optical potential, we study single-particle ... More

Mapping of Coulomb gases and sine-Gordon models to statistics of random surfacesDec 01 2006Jun 13 2008We introduce a new class of sine-Gordon models, for which interaction term is present in a region different from the domain over which quadratic part is defined. We develop a novel non-perturbative approach for calculating partition functions of such ... More

Classifying Novel Phases of Spinor AtomsJul 10 2006Nov 07 2006We consider many-body states of bosonic spinor atoms which, at the mean-field level, can be characterized by a single-particle wave function. Such states include BEC phases and insulating Mott states with one atom per site. We describe and apply a classification ... More

Resistance in SuperconductorsMay 19 2010In this pedagogical review, we discuss how electrical resistance can arise in superconductors. Starting with the idea of the superconducting order parameter as a condensate wave function, we introduce vortices as topological excitations with quantized ... More

Finding the elusive sliding phase in superfluid-normal phase transition smeared by c-axis disorderMar 24 2010We consider a system composed of a stack of weakly Josephson coupled superfluid layers with c-axis disorder in the form of random superfluid stiffnesses and vortex fugacities in each layer as well as random inter-layer coupling strengths. In the absence ... More

Probing many-body states of ultra-cold atoms via noise correlationsJun 09 2003We propose to utilize density-density correlations in the image of an expanding gas cloud to probe complex many body states of trapped ultra-cold atoms. In particular we show how this technique can be used to detect superfluidity of fermionic gases and ... More

Scaling approach to quantum non-equilibrium dynamics of many-body systemsDec 15 2009Dec 02 2010Understanding non-equilibrium quantum dynamics of many-body systems is one of the most challenging problems in modern theoretical physics. While numerous approximate and exact solutions exist for systems in equilibrium, examples of non-equilibrium dynamics ... More

Exact methods in analysis of nonequilibrium dynamics of integrable models: application to the study of correlation functions in nonequilibrium 1D Bose gasApr 21 2009May 18 2010In this paper we study nonequilibrium dynamics of one dimensional Bose gas from the general perspective of dynamics of integrable systems. After outlining and critically reviewing methods based on inverse scattering transform, intertwining operators, ... More

Fundamental noise in matter interferometersMar 28 2007These lecture notes discuss two effects which contribute to the reduction of the interference fringe contrast in matter interferometers. The first effect is the shot noise arising from a finite number of atoms used in experiments. Focusing on a single ... More

Pi excitation of the t-J modelOct 14 1997In this paper, we present analytical and numerical calculations of the pi resonance in the t-J model. We show in detail how the pi resonance in the particle-particle channel couples to and appears in the dynamical spin correlation function in a superconducting ... More

$1/f^α$ noise and generalized diffusion in random Heisenberg spin systemsJun 01 2015We study the `flux noise' spectrum of random-bond quantum Heisenberg spin systems using a real-space renormalization group (RSRG) procedure that accounts for both the renormalization of the system Hamiltonian and of a generic probe that measures the noise. ... More

Dissipative dynamics of a driven quantum spin coupled to a bath of ultracold fermionsJun 12 2013Jan 02 2014We explore the dynamics and the steady state of a driven quantum spin coupled to a bath of fermions, which can be realized with a strongly imbalanced mixture of ultracold atoms using currently available experimental tools. Radio-frequency driving can ... More

Doublon production rate in modulated optical latticesJun 07 2011May 03 2012We study theoretically lattice modulation experiments with ultracold fermions in optical lattices. We focus on the regime relevant to current experiments when interaction strength is larger than the bandwidth and temperature is higher than magnetic superexchange ... More

Collective Modes of nu =2 Quantum Hall Bilayers in Tilted Magnetic FieldJan 05 2004We use time-dependent Hartree Fock approximation to study the collective mode spectra of nu=2 quantum Hall bilayers in tilted magnetic field allowing for charge imbalance as well as tunneling between the two layers. In a previous companion paper to this ... More

Weak crystallization theory of metallic alloysJun 09 2015We extend the Weak Crystallization theory to the case of metallic alloys. The additional ingredient -- itinerant electrons -- generates nontrivial dependence of free energy on the angles between ordering wave vectors of ionic density. That leads to stabilization ... More

Quantum quasicrystals of spin-orbit coupled dipolar bosonsJun 28 2013Sep 25 2013We study quasi-two-dimensional dipolar Bose gases in which the bosons experience a Rashba spin-orbit coupling. We show that the degenerate dispersion minimum due to the spin-orbit coupling, combined with the long-range dipolar interaction, can stabilize ... More

Magnetization plateaus for spin-one bosons in optical lattices: Stern-Gerlach experiments with strongly correlated atomsJan 26 2004Sep 14 2004We consider insulating states of spin-one bosons in optical lattices in the presence of a weak magnetic field. For the states with more than one atom per lattice site we find a series of quantum phase transitions between states with fixed magnetization ... More

Reply to comment by S.-K. Yip cond-mat/0611426Dec 04 2006Jul 03 2007We respond to S.-K. Yip's criticism of our work on the classification of spinor condensates. We explain why his criticism is unfounded, emphasizing that the phases he mentions have been addressed in our paper cond-mat/0611230. To provide a constructive ... More

Superfluidity and magnetism in multicomponent ultracold fermionsMay 02 2007We study the interplay between superfluidity and magnetism in a multicomponent gas of ultracold fermions. Ward-Takahashi identities constrain possible mean-field states describing order parameters for both pairing and magnetization. The structure of global ... More

Mott criticality and pseudogap in Bose-Fermi mixturesMay 17 2012Jul 20 2012We study the Mott transition of a mixed Bose-Fermi system of ultracold atoms in an optical lattice, where the number of (spinless) fermions and bosons adds up to one atom per lattice, n_F+n_B=1. For weak interactions, a Fermi surface coexists with a Bose-Einstein ... More

Dynamical instabilities and transient short-range order in the fermionic Hubbard modelNov 14 2014We study the dynamics of magnetic correlations in the half-filled fermionic Hubbard model following a fast ramp of the repulsive interaction. We use Schwinger-Keldysh self-consistent second-order perturbation theory to investigate the evolution of single-particle ... More

Probing Competing and Intertwined Orders with Resonant Inelastic x-ray Scattering in the Hole-Doped CupratesJul 14 2014We develop a formalism to study indirect resonant inelastic x-ray scattering (RIXS) in systems with itinerant electrons, accounting for the attraction between valence electrons and the positively-charged core hole exactly, and apply this formalism to ... More

Competing orders in a magnetic field: spin and charge order in the cuprate superconductorsDec 19 2001Sep 07 2002We describe two-dimensional quantum spin fluctuations in a superconducting Abrikosov flux lattice induced by a magnetic field applied to a doped Mott insulator. Complete numerical solutions of a self-consistent large N theory provide detailed information ... More

SO(5) Theory of Antiferromagnetism and SuperconductivityMay 03 2004Antiferromagnetism and superconductivity are both fundamental and common states of matter. In many strongly correlated systems, including the high Tc cuprates, the heavy fermion compounds and the organic superconductors, they occur next to each other ... More

Global Phase Diagram of nu = 2 Quantum Hall Bilayers in Tilted Magnetic FieldJan 05 2004We consider a bilayer quantum Hall system at total filling fraction nu=2 in tilted magnetic field allowing for charge imbalance as well as tunneling between the two layers. Using an "unrestricted Hartree Fock," previously discussed by Burkov and MacDonald ... More

Mobile magnetic impurities in a Fermi superfluid: a route to designer moleculesMay 26 2014Mar 08 2015A magnetic impurity in a fermionic superfluid hosts bound quasiparticle states known as Yu-Shiba-Rusinov (YSR) states. We argue here that, if the impurity is mobile (i.e., has a finite mass), the impurity and its bound YSR quasiparticle move together ... More

Topological polarons, quasiparticle invariants and their detection in 1D symmetry-protected phasesMar 30 2019In the presence of symmetries, one-dimensional quantum systems can exhibit topological order, which in many cases can be characterized by a quantized value of the many-body geometric Zak or Berry phase. We establish that this topological Zak phase is ... More

Microscopic spinon-chargon theory of magnetic polarons in the t-J modelJan 04 2019The interplay of spin and charge degrees of freedom, introduced by doping mobile holes into a Mott insulator with strong anti-ferromagnetic (AFM) correlations, is at the heart of strongly correlated matter such as high-Tc cuprate superconductors. Here ... More

Superconductor-to-normal transition in finite nanowiresMar 18 2008In this paper we discuss the interplay of quantum fluctuations and dissipation in uniform superconducting nanowires. We consider a phenomenological model with superconducting and normal components, and a finite equilibration rate between these two-fluids. ... More

Realizing a Kondo-correlated state with ultracold atomsAug 02 2013Dec 18 2013We propose a novel realization of Kondo physics with ultracold atomic gases. It is based on a Fermi sea of two different hyperfine states of one atom species forming bound states with a different species, which is spatially confined in a trapping potential. ... More

Quasiparticle Theory of Resonant Inelastic X-ray Scattering in high-T$_c$ cupratesDec 23 2013We develop a formalism for calculating resonant inelastic x-ray scattering (RIXS) spectra in systems of itinerant electrons with arbitrary band structures, accounting for the effect of the positively-charged core hole exactly. We apply this formalism ... More

Measuring Z2 topological invariants in optical lattices using interferometryFeb 11 2014We propose an interferometric method to measure Z2 topological invariants of time-reversal invariant topological insulators realized with optical lattices in two and three dimensions. We suggest two schemes which both rely on a combination of Bloch oscillations ... More

Spin ordering quantum transitions of superconductors in a magnetic fieldMar 09 2001Jun 01 2001We argue that recent neutron scattering measurements by Lake et. al. (Science 291, 1759 (2001)) of the spin excitation spectrum of LSCO in a magnetic field can be understood in terms of proximity to a phase with co-existing superconductivity and spin ... More

From the moving piston to the dynamical Casimir effect: explorations with shaken condensatesDec 12 2018Recent experimental realizations of uniform confining potentials for ultracold atoms make it possible to create quantum acoustic resonators and explore nonequilibrium dynamics of quantum field theories. These systems offer a promising new platform for ... More

Intertwined and vestigial order with ultracold atoms in multiple cavity modesJul 12 2017Atoms in transversely pumped optical cavities "self-organize" by forming a density wave and emitting superradiantly into the cavity mode(s). For a single-mode cavity, the properties of this self-organization transition are well characterized both theoretically ... More

Regimes of heating and dynamical response in driven many-body localized systemsMar 14 2016Apr 07 2016We explore the response of many-body localized (MBL) systems to periodic driving of arbitrary amplitude, focusing on the rate at which they exchange energy with the drive. To this end, we introduce an infinite-temperature generalization of the effective ... More

Reply to Comment on "Quantum quasicrystals of spin-orbit coupled dipolar bosons''Dec 23 2013In a recent Letter [Phys. Rev. Lett. 111, 185304 (2013)], we proposed a scheme for realizing quantum quasicrystals using spin-orbit coupled dipolar bosons. We remarked that these quantum quasicrystals have additional ``phason''-like modes compared with ... More

Superconducting and charge-density wave instabilities in ultrasmall-radius carbon nanotubesJul 23 2004We perform a detailed analysis of the band structure, phonon dispersion, and electron-phonon coupling of three types of small-radius carbon nanotubes (CNTs): (5,0), (6,0), and (5,5) with diameters 3.9, 4.7, and 6.8 \AA respectively. The large curvature ... More

Electron-phonon interaction in ultrasmall-radius carbon nanotubesApr 30 2003Jul 23 2004We perform analysis of the band structure, phonon dispersion, and electron-phonon interactions in three types of small-radius carbon nanotubes. We find that the (5,5) can be described well by the zone-folding method and the electron-phonon interaction ... More

Interference between independent fluctuating condensatesNov 28 2005Apr 08 2006We consider a problem of interference between two independent condensates, which lack true long range order. We show that their interference pattern contains information about correlation functions within each condensate. As an example we analyze the ... More

Classifying Vortices in S=3 Bose-Einstein CondensatesNov 09 2006Jul 03 2007Motivated by the recent realization of a $^{52}$Cr Bose-Einstein condensate, we consider the phase diagram of a general spin-three condensate as a function of its scattering lengths. We classify each phase according to its ``reciprocal spinor,'' using ... More

Ultrafast molecular dynamics in terahertz-STM experiments: Theoretical analysis using Anderson-Holstein modelApr 01 2019We analyze ultrafast tunneling experiments in which electron transport through a localized orbital is induced by a single cycle THz pulse. We include both electron-electron and electron-phonon interactions on the localized orbital using the Anderson-Holstein ... More

Spin symmetry breaking in bilayer quantum Hall systemsJul 07 1999Based on the construction of generalized Halperin wave functions, we predict the possible existence of a large class of broken spin symmetry states in bilayer quantum Hall structures, generalizing the recently suggested canted antiferromgnetic phase to ... More

Universal Rephasing Dynamics after a Quantum Quench via Sudden Coupling of Two Initially Independent CondensatesNov 21 2012Apr 17 2013We consider a quantum quench in which two initially independent condensates are suddenly coupled, and study the subsequent "rephasing" dynamics. For weak couplings, the time-evolution of physical observables is predicted to follow universal scaling laws, ... More

Theory of confinement-induced interlayer molecular resonancesJan 22 2014We study theoretically the interaction between two species of bosons confined parabolically in one transverse direction but with a finite separation between the centers of the confining potentials. We demonstrate the existence of new types of confinement-induced ... More

Scaling in Plasticity-Induced Cell-Boundary Microstructure: Fragmentation and Rotational DiffusionApr 28 2001Feb 05 2003We develop a simple computational model for cell boundary evolution in plastic deformation. We study the cell boundary size distribution and cell boundary misorientation distribution that experimentally have been found to have scaling forms that are largely ... More

Microscopic theory of resonant soft x-ray scattering in systems with charge orderSep 03 2012We present a microscopic theory of resonant soft x-ray scattering (RSXS) that accounts for the delocalized character of valence electrons. Unlike past approaches defined in terms of form factors for atoms or clusters, we develop a functional determinant ... More

Unstable Avoided Crossing in Coupled Spinor CondensatesFeb 18 2014Mar 05 2014We consider the dynamics of a Bose-Einstein condensate with two internal states, coupled through a coherent drive. We focus on a specific quench protocol, in which the sign of the coupling field is suddenly changed. At a mean-field level, the system is ... More

Prethermal Floquet Steady States and Instabilities in the Periodically Driven, Weakly Interacting Bose-Hubbard ModelJul 07 2015Nov 15 2015We explore prethermal Floquet steady states and instabilities of the weakly interacting two-dimensional Bose-Hubbard model subject to periodic driving. We develop a description of the nonequilibrium dynamics, at arbitrary drive strength and frequency, ... More

Phase diagram of two-component bosons on an optical latticeJun 26 2003We present a theoretical analysis of the phase diagram of two--component bosons on an optical lattice. A new formalism is developed which treats the effective spin interactions in the Mott and superfluid phases on the same footing. Using the new approach ... More

Modulation Spectroscopy and Dynamics of Double Occupancies in a Fermionic Mott InsulatorFeb 15 2009We calculate the rate of creation of double occupancies in a 3D Fermionic Mott insulator near half-filling by modulation of optical lattice potential. At high temperatures, incoherent holes lead to a broad response peaked at the Hubbard repulsion $U$. ... More

Characterization of topological states on a lattice with Chern numberJun 06 2007Dec 04 2007We study Chern numbers to characterize the ground state of strongly interacting systems on a lattice. This method allows us to perform a numerical characterization of bosonic fractional quantum Hall (FQH) states on a lattice where conventional overlap ... More