Anderson Localization of Expanding Bose-Einstein Condensates in Random Potentials

Abstract

We show that the expansion of an initially confined interacting 1D Bose-Einstein condensate can exhibit Anderson localization in a weak random potential with correlation length σ_R. For speckle potentials the Fourier transform of the correlation function vanishes for momenta k > 2/σ_R so that the Lyapunov exponent vanishes in the Born approximation for k > 1/σ_R. Then, for the initial healing length of the condensate ξ> σ_R the localization is exponential, and for ξ< σ_R it changes to algebraic.

published versioon (no significant change compared to last version)

References in corpus (21)

• Metal-insulator transition in a weakly interacting many-electron system with localized single-particle states
• Regimes of quantum degeneracy in trapped 1D gases
• Localization and Mobility Edge in One-Dimensional Potentials with Correlated Disorder
• Evolution of a Bose-condensed gas under variations of the confining potential
• A Bose-Einstein condensate in a random potential
• Atomic Bose and Anderson glasses in optical lattices
• Suppression of Transport of an Interacting Elongated Bose-Einstein Condensate in a Random Potential
• Effect of optical disorder and single defects on the expansion of a Bose-Einstein condensate in a one-dimensional waveguide
• Experimental study of the transport of coherent interacting matter-waves in a 1D random potential induced by laser speckle
• Phase Diagram of Bosonic Atoms in Two-Color Superlattices
• Matterwave localization in disordered cold atom lattices
• Ultracold Bose Gases in 1D Disorder: From Lifshits Glass to Bose-Einstein Condensate
• Bose-Einstein Condensates in Optical Quasicrystal Lattices
• Localization of Matter Waves in 2D-Disordered Optical Potentials
• Atomic Fermi-Bose mixtures in inhomogeneous and random lattices: From Fermi glass to quantum spin glass and quantum percolation
• Atom cooling and trapping by disorder
• Smoothing effect and delocalization of interacting Bose-Einstein condensates in random potentials
• Disordered ultracold atomic gases in optical lattices: A case study of Fermi-Bose mixtures
• Disorder versus the Mermin-Wagner-Hohenberg effect: From classical spin systems to ultracold atomic gases
• Collective dynamics and expansion of a Bose-Einstein condensate in a random potential
• Anomalous transport in low-dimensional systems with correlated disorder

Cited by in corpus (207)

• Many-Body Physics with Ultracold Gases
• Direct observation of Anderson localization of matter-waves in a controlled disorder
• Three-dimensional localization of ultracold atoms in an optical disordered potential
• Destruction of Anderson localization by a weak nonlinearity
• Disordered quantum gases under control
• Nonlinear Waves in Bose-Einstein Condensates: Physical Relevance and Mathematical Techniques
• Universal spreading of wavepackets in disordered nonlinear systems
• Anomalous Localization in Low-Dimensional Systems with Correlated Disorder
• Absence of Wavepacket Diffusion in Disordered Nonlinear Systems
• Anderson localization in Bose-Einstein condensates
• From Bloch Oscillations to Many Body Localization in Clean Interacting Systems
• Cold Bosons in Optical Lattices
• Delocalization of wave packets in disordered nonlinear chains
• The quasi-periodic Bose-Hubbard model and localization in one-dimensional cold atomic gases
• Coherent Matter Wave Transport in Speckle Potentials
• Absence of a Direct Superfluid to Mott Insulator Transition in Disordered Bose Systems
• Cold atoms in the presence of disorder
• Phase Coherence and Superfluid-Insulator Transition in a Disordered Bose-Einstein Condensate
• Observation of surface states with algebraic localization
• Anomalous mobility edges in one-dimensional quasiperiodic models
• One-dimensional Anderson localization in certain correlated random potentials
• Delocalization induced by nonlinearity in systems with disorder
• Anderson Localization of Bogolyubov Quasiparticles in Interacting Bose-Einstein Condensates
• Anderson localization of a Bose-Einstein condensate in a 3D random potential
• The Nonlinear Schroedinger Equation with a random potential: Results and Puzzles
• Observation of the Efimovian Expansion in Scale Invariant Fermi Gases
• Superfluid-insulator transition of disordered bosons in one-dimension
• Disorder-induced trapping versus Anderson localization in Bose-Einstein condensates expanding in disordered potentials
• Expansion of a Bose-Einstein Condensate in the Presence of Disorder
• Localization of a Bose-Einstein condensate in a bichromatic optical lattice
• Weakly interacting Bose gas in a random environment
• Spreading of waves in nonlinear disordered media
• Time crystals: analysis of experimental conditions
• Dynamics and Transport at the Threshold of Many-Body Localization
• Anderson Localization of cold atomic gases with effective spin-orbit interaction in a quasiperiodic optical lattice
• Localization of a spin-orbit coupled Bose-Einstein condensate in a bichromatic optical lattice
• Localization of Bogoliubov quasiparticles in interacting Bose gases with correlated disorder
• Anderson localization of solitons
• Wave chaos as signature for depletion of a Bose-Einstein condensate
• Nonlinear transport of Bose-Einstein condensates through mesoscopic waveguides
• Disorder-Induced Order in Two-Component Bose-Einstein Condensates
• Density modulations in an elongated Bose-Einstein condensate released from a disordered potential
• Coherent backscattering of Bose-Einstein condensates in two-dimensional disorder potentials
• Localization of a matter wave packet in a disordered potential
• Quantum transport of atomic matterwaves in anisotropic 2D and 3D disorder
• Dynamics of spin-orbit coupled Bose-Einstein condensates in a random potential
• Three-Dimensional Anderson Localization in Variable Scale Disorder
• Perturbation theory for the Nonlinear Schroedinger Equation with a random potential
• A semiclassical theory of the Anderson transition
• Lyapunov exponent for the laser speckle potential: a weak disorder expansion
• Subdiffusion in the Nonlinear Schroedinger Equation with Disorder
• Theory of superfluidity and drag force in the one-dimensional Bose gas
• Anderson localization of matter waves in tailored disordered potentials
• Anderson localization of a weakly interacting one dimensional Bose gas
• Localization of a Bose-Einstein condensate vortex in a bichromatic optical lattice
• Wave chaos in the non-equilibrium dynamics of the Gross-Pitaevskii equation
• Detecting quantum backflow by the density of a Bose-Einstein Condensate
• Transport regimes of cold gases in a two-dimensional anisotropic disorder
• Anderson transition in a three dimensional kicked rotor
• Numerical study of one-dimensional and interacting Bose-Einstein condensates in a random potential
• Matter-wave localization in a random potential
• Enhanced transport when Anderson localization is destroyed
• Super-diffusion in optical realizations of Anderson localization
• Many body localization and delocalization in the two dimensional continuum
• Dephasing-induced mobility edges in quasicrystals
• Adiabaticity and localization in one-dimensional incommensurate lattices
• Momentum-dependent power law measured in an interacting quantum wire beyond the Luttinger limit
• Flat-band-based multifractality in the all-band-flat diamond chain
• Dynamics of Localization Phenomena for Hardcore Bosons in Optical Lattices
• From Anderson to anomalous localization in cold atomic gases with effective spin-orbit coupling
• Transport of ultracold Bose gases beyond the Gross-Pitaevskii description
• Localized and extended states in a disordered trap
• Excitations of the One Dimensional Bose-Einstein Condensates in a Random Potential
• Dynamics of localized waves in 1D random potentials: statistical theory of the coherent forward scattering peak
• Differentiable potentials and metallic states in disordered one-dimensional systems
• Localization of a dipolar Bose-Einstein condensate in a bichromatic optical lattice
• A numerical and symbolical approximation of the Nonlinear Anderson Model
• Symmetry breaking in a localized interacting binary BEC in a bi-chromatic optical lattice
• Effective noise theory for the Nonlinear Schrödinger Equation with disorder
• Anderson localization of a Tonks-Girardeau gas in potentials with controlled disorder
• Disorder-Induced Phase Control in Superfluid Fermi-Bose Mixtures
• Density of states in an optical speckle potential
• Absence of Mobility Edge in Short-range Uncorrelated Disordered Model: Coexistence of Localized and Extended States
• Supervised machine learning of ultracold atoms with speckle disorder
• Anderson localization in optical lattices with correlated disorder
• Anderson localization in dissipative lattices
• Localized states and interaction induced delocalization in Bose gases with quenched disorder
• Long-time expansion of a Bose-Einstein condensate: Can Anderson localization be observed?
• Damped Bloch Oscillations of Bose-Einstein Condensates in Disordered Potential Gradients
• Localization of a Bose-Fermi mixture in a bichromatic optical lattice
• Coherent multiple scattering of out-of-equilibrium interacting Bose gases
• Spatially-antisymmetric localization of matter wave in a bichromatic optical lattice
• Localization of collisionally inhomogeneous condensates in a bichromatic optical lattice
• Fractional Schrödinger equation in gravitational optics
• Matter-wave localization in a weakly perturbed optical lattice
• Physical replicas and the Bose-glass in cold atomic gases
• The Localization Length of Stationary States in the Nonlinear Schreodinger Equation
• Coherent propagation of waves in random media with weak nonlinearity
• Diffusion and Localization of Cold Atoms in 3D Optical Speckle
• A proposed signature of Anderson localization and correlation-induced delocalization in an N-leg optical lattice
• Two dimensional vertex-decorated Lieb lattice with exact mobility edges and robust flat bands
• Superfluid-insulator transition and BCS-BEC crossover in dirty ultracold Fermi gas
• Bose systems in spatially random or time-varying potentials
• Asymptotic localization of stationary states in the nonlinear Schroedinger equation
• Matter-wave analog of an optical random laser
• Classical spin models with broken symmetry: Random Field Induced Order and Persistence of spontaneous magnetization in presence of a random field
• Classical Spin Models with Broken Continuous Symmetry: Random Field Induced Order and Persistence of Spontaneous Magnetization
• Quantized Dislocations
• Quantum Diffusion of Matter Waves in 2D Speckle Potentials
• Density Correlations in Cold Atomic Gases: Atomic Speckles in the Presence of Disorder
• Thermodynamics of a two-dimensional dipolar Bose gas with correlated disorder in the roton regime
• Quantum optics and frontiers of physics: The third quantum revolution
• Disorder in quantum vacuum: Casimir-induced localization of matter waves
• Phase diagram of quasi-two-dimensional bosons in laser speckle potential
• Tailoring Anderson localization by disorder correlations in 1D speckle potentials
• Effect of interactions on the diffusive expansion of a Bose-Einstein condensate in a 3D random potential
• Domain-wall melting in ultracold boson systems with holes and spin-flip defects
• Effects of disorder on quantum fluctuations and superfluid density of a Bose-Einstein condensate in a two-dimensional optical lattice
• Nonlinear Lattice Waves in Random Potentials
• Long-range correlations of density in a Bose-Einstein condensate expanding in a random potential
• Diffusion of cold atomic gases in the presence of an optical speckle potential
• Anomalous thermal properties of a harmonic chain with correlated isotopic disorder
• Enhanced transport of spin-orbit coupled Bose gases in disordered potentials
• Quench induced chaotic dynamics of Anderson localized interacting Bose-Einstein condensates in one dimension
• Matter wave speckle observed in an out-of-equilibrium quantum fluid
• Macroscopic random Paschen-Back effect in ultracold atomic gases
• Anomalous localisation in the aperiodic Kronig-Penney model
• Spontaneous magnetization of quantum $XY$ spin model in joint presence of quenched and annealed disorder
• Optimal error bounds on the exponential wave integrator for the nonlinear Schrödinger equation with low regularity potential and nonlinearity
• Optimal error bounds on time-splitting methods for the nonlinear Schrödinger equation with low regularity potential and nonlinearity
• Nonlinear quantum logic with colliding graphene plasmons
• Collective excitations of a trapped Bose-Einstein condensate in the presence of weak disorder and a two-dimensional optical lattice
• Lyapunov exponents in 1d disordered system with long-range memory
• Transport through quasi-one-dimensional wires with correlated disorder
• Expansion of a matter wave packet in a one-dimensional disordered potential in the presence of a uniform bias force
• Effects of disorder on atomic density waves and spin-singlet dimers in one-dimensional optical lattices
• Enhancement of chaotic subdiffusion in disordered ladders with synthetic gauge fields
• Elastic scattering of a Bose-Einstein condensate at a potential landscape
• Bose-Bose mixtures in a weak-disorder potential: Fluctuations and superfluidity
• Localization from quantum interference in one-dimensional disordered potentials
• Instanton theory for bosons in disordered speckle potential
• Quench-induced delocalization
• Dynamics of wave packets for the nonlinear Schroedinger equation with a random potential
• Localization of solitons: linear response of the mean-field ground state to weak external potentials
• Thermalization and localization of an oscillating Bose-Einstein condensate in a disordered trap
• Dipole Oscillations of a Fermi Gas in a Disordered Trap: Damping and Localization
• Transmission in waveguides with compositional and structural disorder: experimental effects of disorder cross-correlations
• Effect of a bias field on disordered waveguides: Universal scaling of conductance and application to ultracold atoms
• Localization of wave packets in one-dimensional random potentials
• Dimensional reduction and localization of a Bose-Einstein condensate in a quasi-1D bichromatic optical lattice
• Delocalization of ultracold atoms in a disordered potential due to light scattering
• Is transport in time-dependent random potentials universal ?
• Transport in time-dependent random potentials
• Resonances, mobility edges and gap-protected Anderson localization in generalized disordered mosaic lattices
• Subdiffusion in classical and quantum nonlinear Schrödinger equations with disorder
• Two dimensional Quantum droplets in random repulsive potential
• Effects of auto-correlated disorder on the dynamics in the vicinity of the many-body localization transition
• Signature of Many-Body Localization of Phonons in Strongly Disordered Superlattices
• Mixtures of ultra-cold atoms in 1D disordered potentials
• Effect of Disorder in BCS-BEC Crossover
• Strongly interacting bosons in 1D disordered lattice: phase coherence of distorted Mott phases
• Anderson Localization for Very Strong Speckle Disorder
• Many-body localized to ergodic transitions in a system with correlated disorder
• Eigenmodal Analysis of Anderson Localization: Applications to Photonic Lattices and Bose-Einstein Condensates
• The impact of speckle disorder on a superfluid Fermi system
• Linear and nonlinear Anderson localization in a curved potential
• Effective delocalization in the one-dimensional Anderson model with stealthy disorder
• Critical point correlations in random gaussian fields
• Localization landscape for interacting Bose gases in one-dimensional speckle potentials
• Quasi-localization and quasi-mobility edge for light atoms mixed with heavy ones
• Selective final state spectroscopy and multifractality in two-component ultracold Bose-Einstein condensates: a numerical study
• Signature of localization-delocalization in collisional inhomogeneous spin-orbit coupled condensates
• Spin-dependent localization of spin-orbit and Rabi-coupled Bose-Einstein condensates in a random potential
• Anderson Localization in Degenerate Spin-Orbit Coupled Fermi Gases with Disorder
• Berezinskii approach to disordered spin systems with asymmetric scattering and application to the quantum boomerang effect
• Dynamical conductivity of disordered quantum chains
• Observation of the algebraic localization-delocalization transition in a 1D disordered potential with a bias force
• Localization in periodically modulated speckle potentials
• Localization properties of one-dimensional speckle potentials in a box
• Ground State Energy of Mean-field Model of Interacting Bosons in Bernoulli Potential
• Backscattering echo of correlated wave packets
• An extended Fourier pseudospectral method for the Gross-Pitaevskii equation with low regularity potential
• Rabi-induced localization and resonant delocalization of a binary condensate in a spin-asymmetric quasiperiodic potential
• Simulating DNLS models
• Bose-Einstein condensates in disordered potentials
• A brief overview of the interplay between nonlinearity and transverse Anderson localization
• Cooling Quantum Gases with Entropy Localization
• Bose gas in disordered, finite-layered systems
• Tunneling electro-conductance of atomic Bose condensates
• Localisation and transport in bidimensional random models with separable Hamiltonians
• Thermalization of a weakly interacting Bose gas in a disordered trap
• Observation of transverse coherent backscattering in disordered photonic structures
• Properties of bosons in a one-dimensional bichromatic optical lattice in the regime of the Sine-Gordon transition: a Worm Algorithm Monte Carlo study
• Anisotropy effects on the quantum transport of atomic matter waves
• Increasing the stability of a superfluid in a rotating necklace potential
• One Dimensional Localization for Arbitrary Disorder Correlations
• From percolation transition to Anderson localization in one-dimensional speckle potentials
• Density, phase and coherence properties of a low dimensional Bose-Einstein systems moving in a disordered potential
• Localization Transition for Interacting Quantum Particles in Colored-Noise Disorder
• Duality breaking, mobility edges, and the connection between topological Aubry-André and quantum Hall insulators in atomic wires with fermions
• Landau instability and mobility edges of the interacting one-dimensional Bose gas in weak random potentials
• Floquet engineering with spatially non-uniform driving fields
• Bichromatic state-dependent disordered potential for Anderson localization of ultracold atoms
• Numerical integrators for continuous disordered nonlinear Schrödinger equation
• Two parameters scaling approach to Anderson localization of weekly interacting BEC
• Disorder Effects on Exciton-Polariton Condensates
• Ergodicity-breaking phase diagram and fractal dimensions in long-range models with generically correlated disorder