Disordered quantum gases under control

Abstract

When attempting to understand the role of disorder in condensed-matter physics, one faces severe experimental and theoretical difficulties and many questions are still open. Two of the most challenging ones, which have been debated for decades, concern the effect of disorder on superconductivity and quantum magnetism. Recent progress in ultracold atomic gases paves the way towards realization of versatile quantum simulators which will be useful to solve these questions. In addition, ultracold gases offer original situations and viewpoints, which open new perspectives to the field of disordered systems.

text unchanged, submitted on June 2009; Final version on the website of Nature Physics at http://www.nature.com/nphys/journal/v6/n2/abs/nphys1507.html

References in corpus (45)

• Many-Body Physics with Ultracold Gases
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• Theory of ultracold Fermi gases
• Direct observation of Anderson localization of matter-waves in a controlled disorder
• Time-resolved Observation and Control of Superexchange Interactions with Ultracold Atoms in Optical Lattices
• Localization of ultrasound in a three-dimensional elastic network
• Controlled exchange interaction between pairs of neutral atoms in an optical lattice
• Destruction of Anderson localization by a weak nonlinearity
• Anderson Localization of Expanding Bose-Einstein Condensates in Random Potentials
• Bose-Fermi Mixtures in a Three-dimensional Optical Lattice
• Localization of bosonic atoms by fermionic impurities in a 3d optical lattice
• Degenerate Bose-Bose mixture in a three-dimensional optical lattice
• Absence of Wavepacket Diffusion in Disordered Nonlinear Systems
• Strongly interacting bosons in a disordered optical lattice
• The quasi-periodic Bose-Hubbard model and localization in one-dimensional cold atomic gases
• Role of interactions in 87Rb-40K Bose-Fermi mixtures in a 3d optical lattice
• Ultracold Bose Gases in 1D Disorder: From Lifshits Glass to Bose-Einstein Condensate
• Phase Coherence and Superfluid-Insulator Transition in a Disordered Bose-Einstein Condensate
• One-dimensional Anderson localization in certain correlated random potentials
• Anderson Localization of Bogolyubov Quasiparticles in Interacting Bose-Einstein Condensates
• Localization of Matter Waves in 2D-Disordered Optical Potentials
• Anderson localization of a Bose-Einstein condensate in a 3D random potential
• Order from Disorder in Graphene Quantum Hall Ferromagnet
• Superfluidity versus Anderson localization in a dilute Bose gas
• Expansion of a Bose-Einstein Condensate in the Presence of Disorder
• Disorder-induced trapping versus Anderson localization in Bose-Einstein condensates expanding in disordered potentials
• Smoothing effect and delocalization of interacting Bose-Einstein condensates in random potentials
• Self-Trapping of Bosons and Fermions in Optical Lattices
• Disorder versus the Mermin-Wagner-Hohenberg effect: From classical spin systems to ultracold atomic gases
• Competition between Anderson localization and antiferromagnetism in correlated lattice fermion systems with disorder
• Disorder-Induced Order in Two-Component Bose-Einstein Condensates
• Density modulations in an elongated Bose-Einstein condensate released from a disordered potential
• Mean-field phase diagram of cold lattice bosons in disordered potentials
• Lyapunov exponent for the laser speckle potential: a weak disorder expansion
• BCS-BEC crossover in a random external potential
• Adiabaticity and localization in one-dimensional incommensurate lattices
• Dynamics of Localization Phenomena for Hardcore Bosons in Optical Lattices
• Excitations of the One Dimensional Bose-Einstein Condensates in a Random Potential
• Compression as a tool to detect Bose glass in cold atoms experiments
• Localized states and interaction induced delocalization in Bose gases with quenched disorder
• Loss of superfluidity by fermions in the boson Hubbard model on an optical lattice
• Physical replicas and the Bose-glass in cold atomic gases
• On the problem of many-body localization
• Disorder effects during the evolution from BCS to BEC superfluidity

Cited by in corpus (260)

• Unbounded growth of entanglement in models of many-body localization
• Three-dimensional localization of ultracold atoms in an optical disordered potential
• Three-Dimensional Anderson Localization of Ultracold Matter
• Localization of preformed Cooper-pairs in disordered superconductors
• Observation of the topological Anderson insulator in disordered atomic wires
• Realistic Time-Reversal Invariant Topological Insulators With Neutral Atoms
• Engineering Time-Reversal Invariant Topological Insulators With Ultra-Cold Atoms
• Can One Trust Quantum Simulators?
• Delocalization of a disordered bosonic system by repulsive interactions
• Disorder-induced Localization in a Strongly Correlated Atomic Hubbard Gas
• Anderson localization in Bose-Einstein condensates
• Observation of tunable mobility edges in generalized Aubry-André lattices
• Direct imaging of topological edge states in cold-atom systems
• Critical Behavior and Fractality in Shallow One-Dimensional Quasiperiodic Potentials
• Observation of subdiffusion of a disordered interacting system
• Flat Bands Under Correlated Perturbations
• Disordered insulator in an optical lattice
• Quantum transport in ultracold atoms
• Wilson Fermions and Axion Electrodynamics in Optical Lattices
• Synchronization, quantum correlations and entanglement in oscillator networks
• Cooling in strongly correlated optical lattices: prospects and challenges
• Interplay between long range hopping and disorder in topological systems
• Two-terminal transport measurements with cold atoms
• Topological Phase Transitions in Disordered Electric Quadrupole Insulators
• Enhancement in performance of quantum battery by ordered and disordered interactions
• Towards quantum simulation with circular Rydberg atoms
• Cold atoms in the presence of disorder
• Bose glass and Mott glass of quasiparticles in a doped quantum magnet
• Engineering a flux-dependent mobility edge in disordered zigzag chains
• Glassy behavior in a binary atomic mixture
• The crossover from strong to weak chaos for nonlinear waves in disordered systems
• Anomalous mobility edges in one-dimensional quasiperiodic models
• Bosonic Mott Insulator with Meissner Currents
• Lieb-Liniger Bosons in a Shallow Quasiperiodic Potential: Bose Glass Phase and Fractal Mott Lobes
• Ultracold bosons with short-range interaction in regular optical lattices
• Dissipative Transport of a Bose-Einstein Condensate
• Strongly-Interacting Bosons in a Two-Dimensional Quasicrystal Lattice
• Enhancement of long range correlations in a 2D vortex lattice by incommensurate 1D disorder potential
• Superfluid light in propagating geometries
• Topological phases in a two-dimensional lattice: Magnetic field versus spin-orbit coupling
• Self-dual quasiperiodic systems with power-law hopping
• Distribution of the local density of states as a criterion for Anderson localization: Numerically exact results for various lattices in two and three dimensions
• Bogoliubov Excitations of Disordered Bose-Einstein Condensates
• Bringing order through disorder: Localization of errors in topological quantum memories
• Mixed spectra and partially extended states in a two-dimensional quasiperiodic model
• Anisotropic 2D diffusive expansion of ultra-cold atoms in a disordered potential
• Localization of a spin-orbit coupled Bose-Einstein condensate in a bichromatic optical lattice
• Effects of Smooth Boundaries on Topological Edge Modes in Optical Lattices
• Relativistic quantum effects of Dirac particles simulated by ultracold atoms
• Quantum Transport of Bosonic Cold Atoms in Double Well Optical Lattices
• Dirty-boson physics with magnetic insulators
• Coherent Forward Scattering Peak Induced by Anderson Localization
• Localization of Bogoliubov quasiparticles in interacting Bose gases with correlated disorder
• Topology-induced phase transitions in quantum spin Hall lattices
• Observation of localization of light in photonic quasicrystals of diverse symmetries
• Anderson localization or nonlinear waves? A matter of probability
• Interaction-tuned Anderson versus Mott localization
• Coherent Backscattering of Ultracold Matter Waves: Momentum Space Signatures
• Localization transition in weakly-interacting Bose superfluids in one-dimensional quasiperdiodic lattices
• Anderson localization vs. Mott-Hubbard metal-insulator transition in disordered, interacting lattice fermion systems
• From Classical to Quantum Glasses with Ultracold Polar Molecules
• Localization of a matter wave packet in a disordered potential
• Spectroscopy for cold atom gases in periodically phase-modulated optical lattices
• Quantum transport of atomic matterwaves in anisotropic 2D and 3D disorder
• Polariton Condensation in a One-Dimensional Disordered Potential
• Non-power-law universality in one-dimensional quasicrystals
• Three-Dimensional Anderson Localization in Variable Scale Disorder
• Microscopic description for the emergence of collective dissipation in extended quantum systems
• Can a Bose gas be saturated?
• Dynamical topological phases in quenched spin-orbit coupled degenerate Fermi gas
• Theory of superfluidity and drag force in the one-dimensional Bose gas
• Matter Wave Transport and Anderson Localization in Anisotropic 3D Disorder
• Anderson-Hubbard model with box disorder: Statistical dynamical mean-field theory investigation
• Condensate deformation and quantum depletion of Bose-Einstein condensates in external potentials
• Universal Superfluid Transition and Transport Properties of Two-Dimensional Dirty Bosons
• Anderson localization of matter waves in tailored disordered potentials
• Wave chaos in the non-equilibrium dynamics of the Gross-Pitaevskii equation
• Anderson localization of pairs in bichromatic optical lattices
• Transport regimes of cold gases in a two-dimensional anisotropic disorder
• Creating topological interfaces and detecting chiral edge modes in a 2D optical lattice
• Matter-wave localization in a random potential
• Bose glass transition and spin-wave localization for 2D bosons in a random potential
• Localization of phonons in ion traps with controlled quantum disorder
• Ballistic, diffusive, and arrested transport in disordered momentum-space lattices
• Interferences of electrostatic moiré potentials and bichromatic superlattices of electrons and excitons in transition metal dichalcogenides
• Disorder-Induced Order in Quantum XY Chains
• Induced Delocalization by Correlation and Interaction in the one-dimensional Anderson Model
• Dipolar Bose gas in a weak isotropic speckle disorder
• Dynamics of the mean-field interacting quantum kicked rotor
• Topological Anderson insulators induced by random binary disorders
• Dynamics of Disordered States in the Bose-Hubbard Model with Confinement
• Quantum simulators based on the global collective light-matter interaction
• Non Fermi liquid behavior and continuously tunable resistivity exponents in the Anderson-Hubbard model at finite temperature
• Anderson transition of cold atoms with synthetic spin-orbit coupling in two-dimensional speckle potentials
• Transition from metal to higher-order topological insulator driven by random flux
• Localized and extended states in a disordered trap
• Controlled engineering of extended states in disordered systems
• Quantum critical scaling at a Bose-glass/superfluid transition: theory and experiment on a model quantum magnet
• Correlation function of weakly interacting bosons in a disordered lattice
• Precise Programmable Quantum Simulations with Optical Lattices
• Disordered spinor Bose-Hubbard model
• Full counting statistics in a disordered free fermion system
• Bragg spectroscopy of clean and disordered lattice bosons in one dimension: a spectral fingerprint of the Bose glass
• The fate of high winding number topological phases in the disordered extended Su-Schrieffer-Heeger model
• Anderson localization of a Tonks-Girardeau gas in potentials with controlled disorder
• Decay of correlations and absence of superfluidity in the disordered Tonks-Girardeau gas
• Logarithmic, noise-induced dynamics in the Anderson insulator
• The evolution from BCS to BEC superfluidity in the presence of disorder
• Return to the Origin as a Probe of Atomic Phase Coherence
• Thermodynamic Phase Diagram of Two-Dimensional Bosons in a Quasicrystal Potential
• Critical exponents of the disorder-driven superfluid-insulator transition in one-dimensional Bose-Einstein condensates
• Anderson localization in optical lattices with correlated disorder
• Semiclassical spectral function for matter waves in random potentials
• Coherent multiple scattering of out-of-equilibrium interacting Bose gases
• Impurity probe of topological superfluid in one-dimensional spin-orbit coupled atomic Fermi gases
• Two-component Bose gases with one-body and two-body couplings
• Glassy properties of Anderson localization: pinning, avalanches and chaos
• Tunable multiple layered Dirac cones in optical lattices
• Replica Symmetry Breaking in Cold Atoms and Spin Glasses
• Machine-learning assisted quantum control in random environment
• Correlated electrons in the presence of disorder
• Bose-Einstein Condensate in Weak 3d Isotropic Speckle Disorder
• Cavity-induced switching between localized and extended states in a non-interacting Bose-Einstein condensate
• Probing the effects of interaction in Anderson localization using linear photonic lattices
• Strongly interacting bosons in multi-chromatic potentials supporting mobility edges: localization, quasi-condensation and expansion dynamics
• Random Field Induced Order in Low Dimension
• On Random Field Induced Ordering in the Classical XY Model
• Metal-Insulator-Transition in a Weakly interacting Disordered Electron System
• Phase diagram of the 3D Anderson model for uncorrelated speckle potentials
• Disordered Bose Einstein Condensates with Interaction in One Dimension
• Stability of solitary waves in random nonlocal nonlinear media
• Phase boundaries in alternating field quantum XY model with Dzyaloshinskii-Moriya interaction: Sustainable entanglement in dynamics
• Localization of correlated fermions in optical lattices with speckle disorder
• Anderson Localization of Matter Waves in 3D Anisotropic Disordered Potentials
• Expansion of a wave-packet in lattices with disorder and nonlinearity
• Classical spin models with broken symmetry: Random Field Induced Order and Persistence of spontaneous magnetization in presence of a random field
• Finite temperature disordered bosons in two dimensions
• Propagation of collective pair excitations in disordered Bose superfluids
• Equilibrium phases of two-dimensional bosons in quasi-periodic lattices
• Kardar-Parisi-Zhang Physics in the Density Fluctuations of Localized Two-Dimensional Wave Packets
• Thermodynamics of a two-dimensional dipolar Bose gas with correlated disorder in the roton regime
• Phase diagram of quasi-two-dimensional bosons in laser speckle potential
• A Superglass Phase of Interacting Bosons
• A local theory for Mott-Anderson localization
• Enhanced Amplitude for Superconductivity due to Spectrum-wide Wave Function Criticality in Quasiperiodic and Power-law Random Hopping Models
• Tailoring Anderson localization by disorder correlations in 1D speckle potentials
• Photoinduced Quantum Anomalous Hall States in the Topological Anderson Insulator
• Hyperuniformity in amorphous speckle patterns
• Control of anomalous diffusion of a Bose polaron
• Anderson localization of partially-incoherent light
• Localization of light in a three-dimensional disordered crystal of atoms
• Bogoliubov theory on the disordered lattice
• Finite-temperature properties of one-dimensional hard-core bosons in a quasiperiodic optical lattice
• Quantum ratchet transport with minimal dispersion rate
• Disorder Induced Vortex Lattice Melting in Bose-Einstein Condensate
• Exploring emergent heterogeneous phases in strongly repulsive Fermi gases
• Diffusion of cold atomic gases in the presence of an optical speckle potential
• Quench induced chaotic dynamics of Anderson localized interacting Bose-Einstein condensates in one dimension
• Ground-state and dynamic properties of hard-core bosons in one-dimensional incommensurate optical lattices with harmonic trap
• Interacting lattice electrons with disorder in two dimensions: Numerical evidence for a metal-insulator transition with a universal critical conductivity
• Fragmentation and the Bose-glass phase transition of the disordered 1D Bose gas
• Persistent homology analysis of a generalized Aubry-André-Harper model
• Superfluid-Insulator Transition unambiguously detected by entanglement in one-dimensional disordered superfluids
• Interplay of Superconductivity and Spin-Dependent Disorder
• Superfluid behavior of a Bose-Einstein condensate in a random potential
• Spontaneous magnetization of quantum $XY$ spin model in joint presence of quenched and annealed disorder
• Sensitivity to the initial state of interacting ultracold bosons in disordered lattices
• Superfluid-insulator transition of two-dimensional disordered Bose gases
• Signatures of two-step impurity mediated vortex lattice melting in Bose-Einstein Condensates
• Condensate-free superfluidity induced by frustrated proximity effect
• Collective excitations of a trapped Bose-Einstein condensate in the presence of weak disorder and a two-dimensional optical lattice
• Glass to superfluid transition in dirty bosons on a lattice
• Expansion of a matter wave packet in a one-dimensional disordered potential in the presence of a uniform bias force
• Order-from-disorder and critical scalings of spontaneous magnetization in random-field quantum spin systems
• Critical velocity of a two-dimensional superflow past a potential barrier of arbitrary penetrability
• Application of lasers to ultracold atoms and molecules
• Finding the phase diagram of strongly-correlated disordered bosons using quantum quenches
• Localization of interacting Fermi gases in quasiperiodic potentials
• Quench Spectroscopy of a Disordered Quantum System
• Bosons in a double-well potential: Understanding the interplay between disorder and interaction in a simple model
• Two-dimensional intra-band solitons in lattice potentials with local defects and self-focusing nonlinearity
• Localization of solitons: linear response of the mean-field ground state to weak external potentials
• Entanglement in disordered superfluids: the impact of density, interaction and harmonic confinement on the Superconductor-Insulator transition
• Fractal Universality in Near-Threshold Magnetic Lanthanide Dimers
• Ferromagnetism in a Repulsive Atomic Fermi Gas with Correlated Disorder
• Magnetically ordered phase near transition to Bose-glass phase
• Instanton theory for bosons in disordered speckle potential
• Anderson attractors in active arrays
• Quench-induced delocalization
• Interaction effects on dynamical localization in driven helium
• Matter-wave scattering from interacting bosons in an optical lattice
• Localization from quantum interference in one-dimensional disordered potentials
• Effect of a bias field on disordered waveguides: Universal scaling of conductance and application to ultracold atoms
• Binary Bose-Einstein condensates in a disordered time-dependent potential
• Phase diagrams of 2D and 3D disordered Bose gases in the local density approximation
• Disorder-controlled relaxation in a 3D Hubbard model quantum simulator
• Bose-Einstein condensation in multilayers
• Photon scattering from strongly driven atomic ensembles
• Geometric representation of spin correlations and applications to ultracold systems
• Impurity effects on BCS-BEC crossover in ultracold atomic Fermi gases
• Lattice bosons in a quasi-disordered environment: The effects of next-nearest-neighbor hopping on localization and Bose-Einstein condensation
• Magnetic properties of interacting, disordered electron systems in d=2 dimensions
• Localization of weakly interacting bosons in two dimensions: disorder vs lattice geometry effects
• Strongly interacting bosons in 1D disordered lattice: phase coherence of distorted Mott phases
• Mixtures of ultra-cold atoms in 1D disordered potentials
• Anderson Localization for Very Strong Speckle Disorder
• Optically trapped quasi-two-dimensional Bose gases in random environment: quantum fluctuations and superfluid density
• Aspects of Superfluid Cold Atomic Gases in Optical Lattices
• Dual nature of localization in guiding systems with randomly corrugated boundaries: Anderson-type versus entropic
• Disorder effects on the quantum coherence of a many-boson system
• Spin-selective localization of correlated lattice fermions
• Interplay of Anderson localization and quench dynamics
• Enhancing precision of atomic clocks by tuning disorder in accessories
• Spin filtering and switching action in a diamond network with magnetic-nonmagnetic atomic distribution
• Advancing Quantum Otto Engine Performance via Additional Magnetic Field and Effective Negative Temperature
• Stability of dipolar bosons in a quasiperiodic potential
• Response of entanglement to annealed vis-à-vis quenched disorder in quantum spin models
• Thermodynamic properties of correlated fermions in lattices with spin-dependent disorder
• Localization landscape for interacting Bose gases in one-dimensional speckle potentials
• Observation of Light Localization at the Edges of Quasicrystal Waveguide Arrays
• Bose-Hubbard model with random impurities: Multiband and nonlinear hopping effects
• Anderson-Mott transition in a disordered Hubbard model with correlated hopping
• Superfluid transition in disordered dipolar Fermi gases
• Characterizing quantum gases in time-controlled disorder realizations using cross-correlations of density distributions
• A Quantum Theory of Cold Bosonic Atoms in Optical Lattices
• One-Dimensional Disordered Bosonic Systems
• Localization properties of one-dimensional speckle potentials in a box
• Hubbard models with arbitrary structures in programmable optical lattices
• Estimating phase transition of perturbed J1-J2 Heisenberg quantum chain in mixtures of ground and first excited states
• Full distribution of the superfluid fraction and extreme value statistics in a one dimensional disordered Bose gas
• Anderson localization of excitations in disordered Gross-Pitaevskii lattices
• Ultracold Atoms in Disordered Potentials: Elastic Scattering Time in the Strong Scattering Regime
• Localisation and transport in bidimensional random models with separable Hamiltonians
• Lattice bosons in a quasi-disordered environment
• Quantum Simulation of the Dissipative Anderson Model
• Effects of forward disorder on quasi-1D superconductors
• Superfluid-insulator transition in weakly interacting disordered Bose gases: a kernel polynomial approach
• Investigating Dirty Crossover through Fidelity Susceptibility and Density of States
• Anisotropy effects on the quantum transport of atomic matter waves
• Universal scheme to generate metal-insulator transition in disordered systems
• Self-consistent T-matrix approach to Bose-glass in one dimension
• Effective Luttinger parameter and Kane-Fisher effect in quasiperiodic systems
• Quenched disorder and the BCS-BEC crossover in the Hubbard model
• Non-analytic Vortex Core and a Nonlinear Vortex Flow in Bosonic Superfluids
• Directional Localization in Disordered 2D Tight-Binding Systems: Insights from Single Particle Entanglement Measures
• Emergent Time Crystal with Tunable Period in the Uniaxial Random Field XY Magnet
• Landau instability and mobility edges of the interacting one-dimensional Bose gas in weak random potentials
• Interacting heavy fermions in a disordered optical lattice
• Localization Transition for Interacting Quantum Particles in Colored-Noise Disorder
• Interference of sound waves in a moving fluid
• Correlated phases of moat-band excitons in two dimensions
• Phase Diagram and Spectral Function of the Two-Dimensional Disordered Bose-Hubbard Model: A Real-Space Dynamical Mean-Field Theory Analysis
• Superfluid transition in quasi-two-dimensional disordered dipolar Fermi gases
• Self-consistent inclusion of disorder in the BCS-BEC crossover near the critical temperature
• Two parameters scaling approach to Anderson localization of weekly interacting BEC
• One-dimensional matter waves as a multi-state bit
• Quantum simulation of the Hubbard model with ultracold fermions in optical lattices
• Chaotic behaviour of disordered nonlinear lattices
• Controlling Vortex Lattice Structure of Binary Bose-Einstein Condensates via Disorder Induced Vortex Pinning
• Bosonic Haldane insulator in the presence of local disorder: A quantum Monte Carlo study