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A lattice of Magneto-Optical and Magnetic traps for cold atomsAug 30 2002Mar 13 2003We describe basic periodic trapping configurations for ultracold atoms above surfaces. The approach is based on a simple wire grid and can be scaled to provide large arrays of periodically arranged magnetic or magneto-optical traps. The unit cells of ... More

Observing the Rosensweig instability of a quantum ferrofluidAug 20 2015Oct 08 2015Ferrofluids show unusual hydrodynamic effects due to the magnetic nature of their constituents. For increasing magnetization a classical ferrofluid undergoes a Rosensweig instability and creates self-organized ordered surface structures or droplet crystals. ... More

An ionic impurity in a Bose-Einstein condensate at sub-microkelvin temperaturesFeb 23 2018Apr 11 2018Rydberg atoms immersed in a Bose-Einstein condensate interact with the quantum gas via electron-atom and ion-atom interaction. To suppress the typically dominant electron-neutral interaction, Rydberg states with principal quantum number up to $n = 190$ ... More

Onset of a modulational instability in trapped dipolar Bose-Einstein condensatesNov 20 2017Jan 23 2018We explore the phase diagram of a finite-sized dysprosium dipolar Bose-Einstein condensate in a cylindrical harmonic trap. We monitor the final state after the scattering length is lowered from the repulsive BEC regime to the quantum droplet regime. Either ... More

Precision spectroscopy of negative-ion resonances in ultralong-range Rydberg moleculesApr 17 2019Aug 10 2019The level structure of negative-ions near the electron detachment limit dictates the low-energy scattering of an electron with the parent neutral atom. We demonstrate that a single ultracold atom bound inside a Rydberg orbit forming an ultralong-range ... More

Stable periodic density waves in dipolar Bose-Einstein condensates trapped in optical latticesFeb 01 2012Density-wave patterns in (quasi-) discrete media with local interactions are known to be unstable. We demonstrate that \emph{stable} double- and triple- period patterns (DPPs and TPPs), with respect to the period of the underlying lattice, exist in media ... More

Revivals and oscillations of the momentum of light in a planar multimode waveguideMay 30 2001The evolution of the transverse momentum of monochromatic light entering a multimode planar waveguide at large angle is investigated. We report on oscillations of the momentum caused by the beatings between the adjacent populated modes of the waveguide ... More

Observation of Rydberg Blockade Induced by a Single IonSep 04 2018We study the long-range interaction of a single ion with a highly excited ultracold Rydberg atom and report on the direct observation of ion-induced Rydberg excitation blockade mediated over tens of micrometer distances. Our hybrid ion-atom system is ... More

Broad universal Feshbach resonances in the chaotic spectrum of Dysprosium atomsJun 05 2015Oct 12 2015We report on the observation of weakly-bound dimers of bosonic Dysprosium with a strong universal s-wave halo character, associated with broad magnetic Feshbach resonances. These states surprisingly decouple from the chaotic backgound of narrow resonances, ... More

Production of a chromium Bose-Einstein condensateAug 18 2005Oct 12 2005The recent achievement of Bose-Einstein condensation of chromium atoms [1] has opened longed-for experimental access to a degenerate quantum gas with long-range and anisotropic interaction. Due to the large magnetic moment of chromium atoms of 6 {$\mu$}B, ... More

Mesoscopic ensembles of polar bosons in triple-well potentialsNov 27 2009Apr 29 2010Mesoscopic dipolar Bose gases in triple-well potentials offer a minimal system for the analysis of the long-range character of the dipole-dipole interactions. We show that this long-range character may be clearly revealed by a variety of possible ground-state ... More

Tuning the dipolar interaction in quantum gasesApr 16 2002Apr 26 2002We have studied the tunability of the interaction between permanent dipoles in Bose-Einstein condensates. Based on time-dependent control of the anisotropy of the dipolar interaction, we show that even the very weak magnetic dipole coupling in alkali ... More

Lifetimes of ultralong-range Rydberg molecules in vibrational ground and excited stateFeb 20 2011Since their first experimental observation, ultralong-range Rydberg molecules consisting of a highly excited Rydberg atom and a ground state atom have attracted the interest in the field of ultracold chemistry. Especially the intriguing properties like ... More

A fermionic impurity in a dipolar quantum dropletJul 02 2018In this article we develop the framework to describe Bose-Fermi mixtures of magnetic atoms, focusing on the interaction of bosonic self-bound dipolar quantum droplets with a small number of fermions. We find an attractive interaction potential due to ... More

Ballistic expansion of a dipolar condensateNov 25 2002We have studied the free expansion of a Bose condensate in which both the usual s-wave contact interaction and the dipole-dipole interaction contribute considerably to the total interaction energy. We calculate corrections due to dipolar forces to the ... More

A proposal for continuous loading of an optical dipole trap with magnetically guided ultra cold atomsDec 11 2009The capture of a moving atom by a non-dissipative trap, such as an optical dipole trap, requires the removal of the excessive kinetic energy of the atom. In this article we develop a mechanism to harvest ultra cold atoms from a guided atom beam into an ... More

High Resolution Rydberg Spectroscopy of ultracold Rubidium AtomsAug 10 2005We present experiments on two-photon excitation of ${\rm ^{87}}$Rb atoms to Rydberg states. For this purpose, two continuous-wave (cw)-laser systems for both 780 nm and 480 nm have been set up. These systems are optimized to a small linewidth (well below ... More

Efficient demagnetization cooling of atoms and its limitsJun 14 2013May 25 2014Demagnetization cooling relies on spin-orbit coupling that brings motional and spin degrees of freedom into thermal equilibrium. In the case of a gas, one has the advantage that the spin degree of freedom can be cooled very efficiently using optical pumping. ... More

Collective many-body interaction in Rydberg dressed atomsApr 14 2010Sep 17 2010We present a method to control the shape and character of the interaction potential between cold atomic gases by weakly dressing the atomic ground state with a Rydberg level. For increasing particle densities, a crossover takes place from a two-particle ... More

Quantum critical behavior in strongly interacting Rydberg gasesJun 24 2008Dec 16 2008We study the appearance of correlated many-body phenomena in an ensemble of atoms driven resonantly into a strongly interacting Rydberg state. The ground state of the Hamiltonian describing the driven system exhibits a second order quantum phase transition. ... More

Mean-field description of dipolar bosons in triple-well potentialsJan 12 2012Oct 11 2012We investigate the ground state properties of a polarized dipolar Bose-Einstein condensate trapped in a triple-well potential. By solving the dipolar Gross-Pitaevskii equation numerically for different geometries we identify states which reveal the non-local ... More

Cavity QED Based on Thermal Atoms Interacting with a Photonic Crystal Cavity: A Feasibility StudyJul 10 2019The paradigm of cavity QED is a two-level emitter interacting with a high quality factor single mode optical resonator. The hybridization of the emitter and photon wave functions mandates large vacuum Rabi frequencies and long coherence times; features ... More

Rydberg polaritons in a thermal vaporMar 18 2016We present a pulsed four-wave mixing (FWM) scheme via a Rydberg state to create, store and retrieve collective Rydberg polaritons. The storage medium consists of a gas of thermal Rb atoms confined in a 220 {\mu}m thick cell, which are heated above room ... More

Correlations of quasi-2D dipolar ultracold gas at finite temperaturesApr 17 2013Apr 22 2013We study a quasi two dimensional dipolar gas at finite, but ultralow temperatures using the classical field approximation. The method, already used for a contact interacting gas, is extended here to samples with a weakly interacting long-range inter-atomic ... More

Driving Dipolar Fermions into the Quantum Hall Regime by Spin-Flip Induced Insertion of Angular MomentumFeb 06 2013Apr 03 2013A new method to drive a system of neutral dipolar fermions into the lowest Landau level regime is proposed. By employing adiabatic spin-flip processes in combination with a diabatic transfer, the fermions are pumped to higher orbital angular momentum ... More

Pulsed Rydberg four-wave mixing with motion-induced dephasing in a thermal vaporDec 15 2015We report on time-resolved pulsed four-wave mixing (FWM) signals in a thermal Rubidium vapor involving a Rydberg state. We observe FWM signals with dephasing times up to 7 ns, strongly dependent on the excitation bandwidth to the Rydberg state. The excitation ... More

Ground state of a two component dipolar Fermi gas in a harmonic potentialAug 02 2013Interacting two component Fermi gases are at the heart of our understanding of macroscopic quantum phenomena like superconductivity. Changing nature of the interaction is expected to head to novel quantum phases. Here we study the ground state of a two ... More

A two species trap for chromium and rubidium atomsJan 20 2004We realize a combined trap for bosonic chromium 52Cr and rubidium 87Rb atoms. First experiments focus on exploring a suitable loading scheme for the combined trap and on studies of new trap loss mechanisms originating from simultaneous trapping of two ... More

Bose-Einstein condensation of chromiumMar 02 2005We report on the generation of a Bose-Einstein condensate in a gas of chromium atoms, which will make studies of the effects of anisotropic long-range interactions in degenerate quantum gases possible. The preparation of the chromium condensate requires ... More

Sisyphus cooling in a continuously loaded trapJun 07 2013We demonstrate continuous Sisyphus cooling combined with a continuous loading mechanism used to efficiently slow down and accumulate atoms from a guided beam. While the loading itself is based on a single slowing step, applying a radio frequency field ... More

Critical Temperature of Weakly Interacting Dipolar CondensatesJun 22 2006Feb 26 2007We calculate perturbatively the effect of a dipolar interaction upon the Bose-Einstein condensation temperature. This dipolar shift depends on the angle between the symmetry axes of the trap and the aligned atomic dipole moments, and is extremal for parallel ... More

A Look Back at the Ehrenfest Classification. Translation and Commentary of Ehrenfest's 1933 paper introducing the notion of phase transitions of different orderDec 09 2016A translation of Paul Ehrenfest's 1933 paper, entitled "Phase transitions in the usual and generalized sense, classified according to the singularities of the thermodynamic potential" is presented. Some historical commentary about the paper's context ... More

Einstein's Working Sheets and His Search For a Unified Field TheoryJun 14 2019The Einstein Archives contain a considerable collection of calculations in the form of working sheets and scratch paper, documenting Einstein's scientific preoccupations during the last three decades of his life until his death in 1955. This paper provides ... More

Dynamical viscosity, contact correlations and pairing in attractive Fermi gasesApr 29 2019The dynamical bulk viscosity of a dilute Fermi gas is given exactly by the correlation function of the contact density of local pairs. Consequently, the breaking of scale invariance revealed by the bulk viscosity arises purely from pair fluctuations. ... More

The Challenge of Editing Einstein's Scientific ManuscriptsDec 22 2004Einstein's research manuscripts provide important insights into his exceptional creativity. At the same time, they can present difficulties for a publication in the documentary edition of the Collected Papers of Albert Einstein (CPAE). The problems are ... More

Field equations in teleparallel spacetime: Einstein's Fernparallelismus approach towards unified field theoryMay 26 2004A historical account of Einstein's 'Fernparallelismus' approach towards a unified field theory of gravitation and electromagnetism is given. In this theory, a space-time characterized by a curvature-free connection in conjunction with a metric tensor ... More

Albert Einstein's 1916 Review Article on General RelativityMay 13 2004The first comprehensive overview of the final version of the general theory of relativity was published by Einstein in 1916 after several expositions of preliminary versions and latest revisions of the theory in November 1915. A historical account of ... More

Einstein and the Early Theory of Superconductivity, 1919-1922Dec 15 2006Einstein's early thoughts about superconductivity are discussed as a case study of how theoretical physics reacts to experimental findings that are incompatible with established theoretical notions. One such notion that is discussed is the model of electric ... More

The Relativity of Discovery: Hilbert's First Note on the Foundations of PhysicsNov 26 1998Hilbert's paper on ``The Foundations of Physics (First Communication),'' is now primarily known for its parallel publication of essentially the same gravitational field equations of general relativity which Einstein published in a note on ``The Field ... More

Remarks on the Origin of Path Integration: Einstein and FeynmanJan 10 2008I offer some historical comments about the origins of Feynman's path integral approach, as an alternative approach to standard quantum mechanics. Looking at the interaction between Einstein and Feynman, which was mediated by Feynman's thesis supervisor ... More

Marcel Grossmann and his contribution to the general theory of relativityDec 14 2013Apr 20 2014This article reviews the biography of the Swiss mathematician Marcel Grossmann (1878-1936) and his contributions to the emergence of the general theory of relativity. The first part is his biography, while the second part reviews his collaboration with ... More

Computation of the homotopy of the spectrum tmfNov 19 2003Apr 02 2009This paper contains a complete computation of the homotopy ring of the spectrum of topological modular forms constructed by Hopkins and Miller. The computation is done away from 6, and at the (interesting) primes 2 and 3 separately, and in each of the ... More

Convergence of the Eilenberg-Moore spectral sequence for generalized cohomology theoriesMar 26 2008We prove that the Morava-$K$-theory-based Eilenberg-Moore spectral sequence has good convergence properties whenever the base space is a $p$-local finite Postnikov system with vanishing $(n+1)$st homotopy group.

Formal plethoriesJul 28 2011Dec 21 2013Unstable operations in a generalized cohomology theory E give rise to a functor from the category of algebras over E to itself which is a colimit of representable functors and a comonoid with respect to composition of such functors. In this paper I set ... More

Connecting Generative Adversarial Networks and Actor-Critic MethodsOct 06 2016Jan 18 2017Both generative adversarial networks (GAN) in unsupervised learning and actor-critic methods in reinforcement learning (RL) have gained a reputation for being difficult to optimize. Practitioners in both fields have amassed a large number of strategies ... More

Connecting Generative Adversarial Networks and Actor-Critic MethodsOct 06 2016Oct 07 2016Both generative adversarial networks (GAN) in unsupervised learning and actor-critic methods in reinforcement learning (RL) have gained a reputation for being difficult to optimize. Practitioners in both fields have amassed a large number of strategies ... More

Self-bound droplets of a dilute magnetic quantum liquidJul 25 2016Self-bound many-body systems occur in different scenarios all across the fields of physics. For example in the astrophysical context the stellar classification is based on a detailed balance of attractive self-gravitating forces and repulsive terms e.g. ... More

Comparing contact and dipolar interaction in a Bose-Einstein condensateAug 07 2006We have measured the relative strength $\epsilon_dd$ of the magnetic dipole-dipole interaction compared to the contact interaction in a chromium Bose-Einstein condensate. We analyze the asymptotic velocities of expansion of a dipolar chromium BEC with ... More

Triple stack glass-to-glass anodic bonding for optogalvanic spectroscopy cells with electrical feedthroughsMar 05 2014We demonstrate the use of an anodic bonding technique for building a vacuum tight vapor cell for the use of Rydberg spectroscopy of alkali atoms with thin film electrodes on the inside of the cell. The cell is fabricated by simultaneous triple stack glass-to-glass ... More

Ultracold atom-electron interaction: from two to many-body physicsApr 23 2014The transition from a few-body system to a many-body system can result in new length scales, novel collective phenomena or even in a phase transition. Such a threshold behavior was shown for example in 4He droplets, where 4He turns into a superfluid for ... More

Liquid quantum droplets of ultracold magnetic atomsSep 13 2016The simultaneous presence of two competing inter-particle interactions can lead to the emergence of new phenomena in a many-body system. Among others, such effects are expected in dipolar Bose-Einstein condensates, subject to dipole-dipole interaction ... More

Atomic vapor spectroscopy in integrated photonic structuresMay 04 2015We investigate an integrated optical chip immersed in atomic vapor providing several waveguide geometries for spectroscopy applications. The narrow-band transmission through a silicon nitride waveguide and interferometer is altered when the guided light ... More

Evidence for coherent collective Rydberg excitation in the strong blockade regimeJan 17 2007Jun 19 2007Blockade effects on the single quantum level are at the heart of quantum devices like single-electron transistors. The blockade mechanisms are based on strong interactions like the Coulomb interaction in case of single electrons. Neutral atoms excited ... More

Observation of quantum droplets in a strongly dipolar Bose gasJan 13 2016Mar 18 2016Quantum fluctuations are the origin of genuine quantum many-body effects, and can be neglected in classical mean-field phenomena. Here we report on the observation of stable quantum droplets containing $\sim$ 800 atoms which are expected to collapse at ... More

Doppler cooling of an optically dense cloud of trapped atomsAug 20 2002We have studied a general technique for laser cooling a cloud of polarized trapped atoms down to the Doppler temperature. A one-dimensional optical molasses using polarized light cools the axial motional degree of freedom of the atoms in the trap. Cooling ... More

Laser cooling of a magnetically guided ultra cold atom beamFeb 01 2010We report on the transverse laser cooling of a magnetically guided beam of ultra cold chromium atoms. Radial compression by a tapering of the guide is employed to adiabatically heat the beam. Inside the tapered section heat is extracted from the atom ... More

Precision spectroscopy of negative-ion resonances in Rydberg moleculesApr 17 2019The level structure of negative-ions near the electron detachment limit dictates the low-energy scattering of an electron with the parent neutral atom. We demonstrate that a single ultracold atom bound inside a Rydberg orbit forming an ultralong-range ... More

Photoassociation of spin polarized ChromiumDec 14 2015Dec 15 2015We report the homonuclear photoassociation (PA) of ultracold ${}^{52}\mathrm{Cr}$ atoms in an optical dipole trap. This constitutes the first measurement of PA in an element with total electron spin $\tilde{S}>1$. Although Cr, with its ${}^{7}\mathrm{S}_{3}$ ... More

Continuous Loading of a Conservative Trap from an Atomic BeamFeb 04 2011We demonstrate the fast accumulation of Cr atoms in a conservative potential from a magnetically guided atomic beam. Without laser cooling on a cycling transition, a single dissipative step realized by optical pumping allows to load atoms at a rate of ... More

Fabrication and characterization of an electrically contacted vapor cellApr 11 2012We demonstrate the use of electrically contacted vapor cells to switch the transmission of a probe laser. The excitation scheme makes use of electromagnetically induced transparency involving a Rydberg state. The cell fabrication technique involves thinfilm ... More

Anisotropic Superfluid Behavior of a Dipolar Bose-Einstein CondensateApr 12 2018Jul 18 2018We present transport measurements on a dipolar superfluid using a Bose-Einstein condensate of Dy-162 with strong magnetic dipole-dipole interactions. By moving an attractive laser beam through the condensate we observe an anisotropy in superfluid flow. ... More

Electromagnetically Induced Transparency in optically trapped rubidium atomsJan 09 2007Jan 10 2007We demonstrate electromagnetically induced transparency (EIT) in a sample of rubidium atoms, trapped in an optical dipole trap. Mixing a small amount of $\sigma^-$-polarized light to the weak $\sigma^+$-polarized probe pulses, we are able to measure the ... More

Artificial atoms can do more than atoms: Deterministic single photon subtraction from arbitrary light fieldsMar 07 2011We study the interplay of photons interacting with an artificial atom in the presence of a controlled dephasing. Such artifical atoms consisting of several independent scatterer can exhibit remarkable properties superior to single atoms with a prominent ... More

High- and low-frequency phonon modes in dipolar quantum gases trapped in deep latticesFeb 11 2013We study normal modes propagating on top of the stable uniform background in arrays of dipolar Bose-Einstein condensate (BEC) droplets trapped in a deep optical lattice. Both the on-site mean-field dynamics of the droplets and their displacement due to ... More

Apparatus for excitation and detection of Rydberg atoms in quantum gasesJun 18 2007We present and characterize a versatile experimental setup which allows for excitation and detection of Rydberg atoms in quantum gases. The novel concept of the setup features two charged particle detectors and eight electrical field plates inside the ... More

Transient supersolid properties in an array of dipolar quantum dropletsJan 23 2019Mar 08 2019We study theoretically and experimentally the emergence of supersolid properties in a dipolar Bose-Einstein condensate. The theory reveals a ground state phase diagram with three distinct regimes - a regular Bose-Einstein condensate, incoherent and coherent ... More

Striped states in a many-body system of tilted dipolesJun 28 2017Nov 28 2017We study theoretically and experimentally the behaviour of a strongly confined dipolar Bose-Einstein condensate, in the regime of quantum-mechanical stabilization by beyond-mean-field effects. Theoretically, we demonstrate that self-organized striped ... More

Transient supersolid properties in an array of dipolar quantum dropletsJan 23 2019We study theoretically and experimentally the emergence of supersolid properties in a dipolar Bose-Einstein condensate. The theory reveals a ground state phase diagram with three distinct regimes - a regular Bose-Einstein condensate, incoherent and coherent ... More

Continuous loading of cold atoms into a Ioffe-Pritchard magnetic trapNov 06 2002We present a robust continuous optical loading scheme for a Ioffe-Pritchard (IP) type magnetic trap. Atoms are cooled and trapped in a modified magneto-optical trap (MOT) consisting of a conventional 2D-MOT in radial direction and an axial molasses. The ... More

An experimental and theoretical guide to strongly interacting Rydberg gasesFeb 10 2012We review experimental and theoretical tools to excite, study and understand strongly interacting Rydberg gases. The focus lies on the excitation of dense ultracold atomic samples close to, or within quantum degeneracy, to high lying Rydberg states. The ... More

Strong dipolar effects in a quantum ferrofluidJun 12 2007Mar 07 2008We report on the realization of a Chromium Bose-Einstein condensate (BEC) with strong dipolar interaction. By using a Feshbach resonance, we reduce the usual isotropic contact interaction, such that the anisotropic magnetic dipole-dipole interaction between ... More

Rydberg excitation of Bose-Einstein condensatesOct 30 2007Rydberg atoms provide a wide range of possibilities to tailor interactions in a quantum gas. Here we report on Rydberg excitation of Bose-Einstein condensed 87Rb atoms. The Rydberg fraction was investigated for various excitation times and temperatures ... More

An echo experiment in a strongly interacting Rydberg gasJun 26 2007Oct 22 2007When ground state atoms are excited to a Rydberg state, van der Waals interactions among them can lead to a strong suppression of the excitation. Despite the strong interactions the evolution can still be reversed by a simple phase shift in the excitation ... More

The interplay between thermal Rydberg gases and plasmasJan 23 2019We investigate the phenomenon of bistability in a thermal gas of cesium atoms excited to Rydberg states. We present both measurements and a numerical model of the phenomena based on collisions. By directly measuring the plasma frequency, we show that ... More

Rydberg dressing: Understanding of collective many-body effects and implications for experimentsDec 22 2013The strong interaction between Rydberg atoms can be used to control the strength and character of the interatomic interaction in ultracold gases by weakly dressing the atoms with a Rydberg state. Elaborate theoretical proposals for the realization of ... More

Coupling a thermal atomic vapor to an integrated ring resonatorMay 19 2016Strongly interacting atom-cavity systems within a network with many nodes constitute a possible realization for a quantum internet which allows for quantum communication and computation on the same platform. To implement such large-scale quantum networks, ... More

Photo-association of trilobite Rydberg molecules via resonant spin-orbit couplingMar 03 2017May 04 2017We report on a novel method for photo-association of strongly polar trilobite Rydberg molecules. This exotic ultralong-range dimer, consisting of a ground-state atom bound to the Rydberg electron via electron-neutral scattering, inherits its polar character ... More

Scissors mode of dipolar quantum droplets of dysprosium atomsDec 19 2017Mar 25 2018We report on the observation of the scissors mode of a single dipolar quantum droplet. The existence of this mode is due to the breaking of the rotational symmetry by the dipole-dipole interaction, which is fixed along an external homogeneous magnetic ... More

The Fate of the Higgs Mode in a Trapped Dipolar SupersolidJul 22 2019We theoretically investigate the spectrum of elementary excitations of a trapped dipolar quantum gas across the BEC-supersolid phase transition. Our calculations reveal the existence of distinct Higgs and Nambu-Goldstone modes that emerge from the softening ... More

Self-bound droplets of a dilute magnetic quantum liquidJul 25 2016Nov 10 2016Self-bound many-body systems are formed through a balance of attractive and repulsive forces and occur in many physical scenarios. Liquid droplets are an example of a self-bound system, formed by a balance of the mutual attractive and repulsive forces ... More

Coupling a single electron to a Bose-Einstein condensateJun 21 2013The coupling of electrons to matter is at the heart of our understanding of material properties such as electrical conductivity. One of the most intriguing effects is that electron-phonon coupling can lead to the formation of a Cooper pair out of two ... More

Application of Multicanonical Multigrid Monte Carlo Method to the Two-Dimensional $φ^4$-Model: Autocorrelations and Interface TensionDec 17 1994We discuss the recently proposed multicanonical multigrid Monte Carlo method and apply it to the scalar $\phi^4$-model on a square lattice. To investigate the performance of the new algorithm at the field-driven first-order phase transitions between the ... More

Fractal curvatures and Minkowski content of self-conformal setsNov 14 2012For self-similar fractals, the Minkowski content and fractal curvature have been introduced as a suitable limit of the geometric characteristics of its parallel sets, i.e., of uniformly thin coatings of the fractal. For some self-conformal sets, the surface ... More

The contact structure induced by a line fibration of R^3 is standardMay 08 2019Building on the work of and answering a question by Michael Harrison, we show that any contact structure on Euclidean 3-space induced by a line fibration is diffeomorphic to the standard contact structure.

Dead leaves and the dirty ground: low-level image statistics in transmissive and occlusive imaging environmentsSep 14 2012Dec 05 2012The opacity of typical objects in the world results in occlusion --- an important property of natural scenes that makes inference of the full 3-dimensional structure of the world challenging. The relationship between occlusion and low-level image statistics ... More

Probing a quantum gas with single Rydberg atomsJun 17 2015Jul 07 2016We present a novel spectroscopic method for probing the \insitu~density of quantum gases. We exploit the density-dependent energy shift of highly excited {Rydberg} states, which is of the order $10$\MHz\,/\,1E14\,cm$^{\text{-3}}$ for \rubidium~for triplet ... More

Higgs-Boson Production Induced by Bottom QuarksApr 03 2003Bottom quark-induced processes are responsible for a large fraction of the LHC discovery potential, in particular for supersymmetric Higgs bosons. Recently, the discrepancy between exclusive and inclusive Higgs boson production rates has been linked to ... More

Formation of carbon-enhanced metal-poor stars as a consequence of inhomogeneous metal mixingDec 05 2018Jan 08 2019We present a novel scenario for the formation of carbon-enhanced metal-poor (CEMP) stars. Carbon enhancement at low stellar metallicities is usually considered a consequence of faint or other exotic supernovae. An analytical estimate of cooling times ... More

Einstein's quantum theory of the monatomic ideal gas: non-statistical arguments for a new statisticsApr 30 2010In this article, we analyze the third of three papers, in which Einstein presented his quantum theory of the ideal gas of 1924-1925. Although it failed to attract the attention of Einstein's contemporaries and although also today very few commentators ... More

W+Jets at CDF: Evidence for Top QuarksApr 20 2011Recently, an anomaly of W+jets events at large invariant masses has been reported by CDF. Many interpretations as physics beyond the Standard Model are being offered. We show how such an invariant mass peak can arise from a slight shift in the relative ... More

The realizability of some finite-length modules over the Steenrod algebra by spacesMar 25 2019The Joker is a finite cyclic module over the mod-$2$ Steenrod algebra $\mathcal A$ which appears frequently in Adams resolutions as well as in Picard groups. In a previous paper, the first author commenced a study of when the Joker and its iterated Steenrod ... More

Parsing Free Word-Order Languages in Polynomial TimeNov 03 1994We present a parsing algorithm with polynomial time complexity for a large subset of V-TAG languages. V-TAG, a variant of multi-component TAG, can handle free-word order phenomena which are beyond the class LCFRS (which includes regular TAG). Our algorithm ... More

Higgs Couplings after the DiscoveryJul 25 2012Sep 10 2012Following the ATLAS and CMS analyses presented around ICHEP 2012 we determine the individual Higgs couplings. The new data allow us to specifically test the effective coupling to photons. We find no significant deviation from the Standard Model in any ... More

COP2: Continuously Observing Protocol PerformanceFeb 12 2019As enterprises move to a cloud-first approach, their network becomes crucial to their daily operations and has to be continuously monitored. Although passive monitoring can be convenient from a deployment viewpoint, inferring the state of each connection ... More

Exploring Gravitational LensingMay 17 2019In this article, we discuss the idea of gravitational lensing, from a systematic, historical and didactic point of view. We show how the basic lensing equation together with the concepts of geometrical optics opens a space of implications that can be ... More

Counting chambers in restricted Coxeter arrangementsJun 29 2017Solomon showed that the Poincar\'e polynomial of a Coxeter group $W$ satisfies a product decomposition depending on the exponents of $W$. This polynomial coincides with the rank-generating function of the poset of regions of the underlying Coxeter arrangement. ... More

Localizations of inductively factored arrangementsFeb 20 2016We show that the class of inductively factored arrangements is closed under taking localizations. We illustrate the usefulness of this with an application.

Multigrid Method versus Staging Algorithm for PIMC SimulationsMay 17 1996We present a comparison of the performance of two non-local update algorithms for path integral Monte Carlo (PIMC) simulations, the multigrid Monte Carlo method and the staging algorithm. Looking at autocorrelation times for the internal energy we show ... More

Monte Carlo simulation of $1+1$-dimensional $φ^4$ quantum field theoryDec 17 1994We report results of a Monte Carlo simulation of the $\phi^4$ quantum field theory using multigrid simulation techniques and a refined discretization scheme. The resulting accuracy of our data allows for a significant test of an analytical approximation ... More

Hilbert's 'World Equations' and His Vision of a Unified ScienceMay 20 2004In summer 1923, a year after his lectures on the `New Foundation of Mathematics' and half a year before the republication of his two notes on the `Foundations of Physics,' Hilbert delivered a trilogy of lectures in Hamburg. In these lectures, Hilbert ... More