Anderson localization in Bose-Einstein condensates

Abstract

The understanding of disordered quantum systems is still far from being complete, despite many decades of research on a variety of physical systems. In this review we discuss how Bose-Einstein condensates of ultracold atoms in disordered potentials have opened a new window for studying fundamental phenomena related to disorder. In particular, we point our attention to recent experimental studies on Anderson localization and on the interplay of disorder and weak interactions. These realize a very promising starting point for a deeper understanding of the complex behaviour of interacting, disordered systems.

15 pages review, to appear in Reports on Progress in Physics

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Cited by in corpus (167)

• Simulating Lattice Gauge Theories within Quantum Technologies
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• Topological Equivalence between the Fibonacci Quasicrystal and the Harper Model
• Anomalous Localization in Low-Dimensional Systems with Correlated Disorder
• Critical Behavior and Fractality in Shallow One-Dimensional Quasiperiodic Potentials
• Many body localization and quantum non-ergodicity in a model with a single-particle mobility edge
• Enhancement in performance of quantum battery by ordered and disordered interactions
• Generalized Inverse Participation Ratio as a Possible Measure of Localization for Interacting Systems
• Phase diagram of a non-Abelian Aubry-André-Harper model with $p$-wave superfluidity
• Cold atoms in the presence of disorder
• Localization and topological transitions in non-Hermitian quasiperiodic lattices
• Extended nonergodic states in disordered many-body quantum systems
• 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
• Strongly-Interacting Bosons in a Two-Dimensional Quasicrystal Lattice
• Complexity of waves in nonlinear disordered media
• Bogoliubov Excitations of Disordered Bose-Einstein Condensates
• Dynamics and Transport at the Threshold of Many-Body Localization
• The Aubry-André model as the hobbyhorse for understanding localization phenomenon
• 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
• Optimally designed quantum transport across disordered networks
• Emergence of multiple localization transitions in a one-dimensional quasiperiodic lattice
• Generalized Aubry-André-Harper model with p-wave superconducting pairing
• Coherent Backscattering of Ultracold Matter Waves: Momentum Space Signatures
• Subwavelength-width optical tunnel junctions for ultracold atoms
• Quantum transport of atomic matterwaves in anisotropic 2D and 3D disorder
• Hanbury Brown and Twiss Correlations of Anderson Localized Waves
• Single Impurity In Ultracold Fermi Superfluids
• Localization and symmetry breaking in the quantum quasiperiodic Ising glass
• Theory of superfluidity and drag force in the one-dimensional Bose gas
• Ring Structure in the Complex Plane: A Fingerprint of non-Hermitian Mobility Edge
• Localization in random fractal lattices
• Effective dynamics of disordered quantum systems
• Anderson localization transition in a robust $\mathcal{P}\mathcal{T}$-symmetric phase of a generalized Aubry-Andre model
• Transport regimes of cold gases in a two-dimensional anisotropic disorder
• Topological properties of the long-range Kitaev chain with Aubry-André-Harper modulation
• Dynamical Anderson transition in one-dimensional periodically kicked incommensurate lattices
• Solitonization of the Anderson Localization
• Breakdown of the correspondence between the real-complex and delocalization-localization transitions in non-Hermitian quasicrystals
• Novel mobility edges in the off-diagonal disordered tight-binding models
• Edge and bulk localization of Floquet topological superconductors
• Dynamics of Disordered States in the Bose-Hubbard Model with Confinement
• Quantum boomeranglike effect of wave packets in random media
• Wave interactions in localizing media - a coin with many faces
• Correlation function of weakly interacting bosons in a disordered lattice
• Localization Driven Quantum Sensing
• Controlling nonlinear interaction in a many-mode laser by tuning disorder
• Universality classes of the Anderson transition in three-dimensional symmetry classes AIII, BDI, C, D and CI
• Scaling perspective on Intramolecular vibrational energy flow: analogies, insights, and challenges
• Supervised machine learning of ultracold atoms with speckle disorder
• Spectrum and quench-induced dynamics of spin-orbit coupled quantum droplets
• The evolution from BCS to BEC superfluidity in the presence of disorder
• Thermodynamic Phase Diagram of Two-Dimensional Bosons in a Quasicrystal Potential
• Critical dynamics at the Anderson localization mobility edge
• Localization and mobility edges in the off-diagonal quasiperiodic model with slowly varying potentials
• Semiclassical spectral function for matter waves in random potentials
• Majorana Zero-Energy Mode and Fractal Structure in Fibonacci-Kitaev Chain
• Anderson localization of two-dimensional massless pseudospin-1 Dirac particles in a correlated random one-dimensional scalar potential
• Inelastic Multiple Scattering of Interacting Bosons in Weak Random Potentials
• Emergence of multifractality through cascade-like transitions in a mosaic interpolating Aubry-André-Fibonacci chain
• Localization driven superradiant instability
• Dynamical Scaling of Surface Roughness and Entanglement Entropy in Disordered Fermion Models
• Enhanced compressibility due to repulsive interaction in the Harper model
• Emergent strength-dependent scale-free mobility edge in a non-reciprocal long-range Aubry-André-Harper model
• Phase controlled metal-insulator transition in multi-leg quasiperiodic optical lattices
• Cavity-induced switching between localized and extended states in a non-interacting Bose-Einstein condensate
• Critical integer quantum Hall topology and the integrable Maryland model as a topological quantum critical point
• Hilbert-space localization in closed quantum systems
• Anderson Localization of Matter Waves in 3D Anisotropic Disordered Potentials
• Coherent back and forward scattering peaks in the quantum kicked rotor
• Classical Spin Models with Broken Continuous Symmetry: Random Field Induced Order and Persistence of Spontaneous Magnetization
• Classical spin models with broken symmetry: Random Field Induced Order and Persistence of spontaneous magnetization in presence of a random field
• Localization transition in presence of cavity backaction
• Propagation of collective pair excitations in disordered Bose superfluids
• Fokker-Planck equation for transport of wave packets in nonlinear disordered media
• Phase diagram of quasi-two-dimensional bosons in laser speckle potential
• Commensurability effects in one-dimensional Anderson localization: anomalies in eigenfunction statistics
• Semiclassical spectral function and density of states in speckle potentials
• Control of anomalous diffusion of a Bose polaron
• A Statistical Theory of Designed Quantum Transport Across Disordered Networks
• Exploring unconventional quantum criticality in the p-wave-paired Aubry-André-Harper model
• Quench induced chaotic dynamics of Anderson localized interacting Bose-Einstein condensates in one dimension
• Fragmentation and the Bose-glass phase transition of the disordered 1D Bose gas
• Bosons with incommensurate potential and spin-orbit coupling
• Spontaneous magnetization of quantum $XY$ spin model in joint presence of quenched and annealed disorder
• Formation of magnetic impurities and pair-breaking effect in a superfluid Fermi gas
• Non-Universal Critical Behaviors in Disordered Pseudospin-1 Systems
• Order-from-disorder and critical scalings of spontaneous magnetization in random-field quantum spin systems
• Interaction-enhanced flow of a polariton persistent current in a ring
• Expansion of a matter wave packet in a one-dimensional disordered potential in the presence of a uniform bias force
• Controlling disorder with periodically modulated interactions
• Quench dynamics in the Aubry-André-Harper model with \textit{p}-wave superconductivity
• Quench Spectroscopy of a Disordered Quantum System
• Multiple intermediate phases in the interpolating Aubry-André-Fibonacci model
• Beyond mean-field study of a binary bosonic mixture in a state-dependent honeycomb lattice
• Localization of solitons: linear response of the mean-field ground state to weak external potentials
• Quench-induced delocalization
• Matter-wave scattering from interacting bosons in an optical lattice
• Anderson localization induced by complex potential
• Magnetic-field switchable metal-insulator transitions in a quasi-helical conductor
• Almost mobility edges and existence of critical regions in one-dimensional quasiperiodic lattices
• Decoherence-induced conductivity in the discrete 1D Anderson model: A novel approach to even-order generalized Lyapunov exponents
• Instanton theory for bosons in disordered speckle potential
• Critical behavior of the quasi-periodic quantum Ising chain
• Emergent multi-loop nested point gap in a non-Hermitian quasiperiodic lattice
• Effect of a bias field on disordered waveguides: Universal scaling of conductance and application to ultracold atoms
• Quasiperiodicity-induced bulk localization with self similarity in non-Hermitian systems
• Characterization of hybrid quantum eigenstates in systems with mixed classical phasespace
• Scale-free relaxation of a wave packet in a quantum well with power-law tails
• Read-out of Quasi-periodic Systems using Qubits
• Dissipation induced transition between delocalization and localization in the three-dimensional Anderson model
• Strongly interacting bosons in 1D disordered lattice: phase coherence of distorted Mott phases
• Sudden quenches in quasiperiodic Ising model
• Anderson Localization and Swing Mobility Edge in Curved Spacetime
• Anderson Localization for Very Strong Speckle Disorder
• Localization of weakly interacting bosons in two dimensions: disorder vs lattice geometry effects
• Two dimensional Quantum droplets in random repulsive potential
• Lattice bosons in a quasi-disordered environment: The effects of next-nearest-neighbor hopping on localization and Bose-Einstein condensation
• Tunneling and Revival of Anderson Localization in Bose-Einstein Condensate
• Unraveling Multifractality and Mobility Edges in Quasiperiodic Aubry-André-Harper Chains through High-Harmonic Generation
• Enhancing precision of atomic clocks by tuning disorder in accessories
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• Dual nature of localization in guiding systems with randomly corrugated boundaries: Anderson-type versus entropic
• Localization transitions and mobility edges in quasiperiodic ladder
• Numerical study of the transverse localization of waves in one-dimensional lattices with randomly distributed gain and loss: Effect of disorder correlations
• Response of entanglement to annealed vis-à-vis quenched disorder in quantum spin models
• Stability of dipolar bosons in a quasiperiodic potential
• An inverse problem from condense matter physics
• Spectrum of a family of spin-orbit coupled Hamiltonians with singular perturbation
• Bose-Hubbard model with random impurities: Multiband and nonlinear hopping effects
• Compressibility enhancement in an almost staggered interacting Harper model
• Magnetic Impurities in Two-Dimensional Superfluid Fermi Gas with Spin-Orbit Coupling
• Glassy dynamics and Landau-Zener phenomena in trapped quasi-one dimensional coupled Bose-Einstein condensates
• Estimating phase transition of perturbed J1-J2 Heisenberg quantum chain in mixtures of ground and first excited states
• Kitaev ring threaded by a magnetic flux: Topological gap, Anderson localization of quasiparticles, and divergence of supercurrent derivative
• Anderson localization of excitations in disordered Gross-Pitaevskii lattices
• Localization properties of one-dimensional speckle potentials in a box
• Disordered cold atoms in different symmetry classes
• Quench dynamics of disordered quadrupolar Bose-Einstein condensates
• Anderson Localization in Degenerate Spin-Orbit Coupled Fermi Gases with Disorder
• One-Dimensional Disordered Bosonic Systems
• Persistent current in an almost staggered Harper model
• Control of wave scattering for robust coherent transmission in a disordered medium
• Lattice bosons in a quasi-disordered environment
• Intermediate super-exponential localization with Aubry-André chains
• Localisation and transport in bidimensional random models with separable Hamiltonians
• Scaling behavior of the localization length for TE waves at critical incidence on short-range correlated stratified random media
• Evolving disorder and chaos enhances the wave speed of elastic waves
• Investigating Dirty Crossover through Fidelity Susceptibility and Density of States
• Formation of nonlinear modes in one-dimensional quasiperiodic lattices with a mobility edge
• Landau instability and mobility edges of the interacting one-dimensional Bose gas in weak random potentials
• Anisotropy effects on the quantum transport of atomic matter waves
• Collapsing dynamics of attractive Bose-Einstein condensates in random potentials
• Quenched disorder and the BCS-BEC crossover in the Hubbard model
• Tunable nanomagnetism in moderately cold fermions on optical lattices
• Towards the complete description of stationary states of a Bose-Einstein condensate in a one-dimensional quasiperiodic lattice: A coding approach
• Self-consistent inclusion of disorder in the BCS-BEC crossover near the critical temperature
• Dynamical localization of interacting ultracold atoms in one-dimensional quasi-periodic potentials
• Exact mobility edges in a slowly varying quasiperiodic ladder model
• Disorder Effects on Exciton-Polariton Condensates
• One-dimensional matter waves as a multi-state bit
• Spectroscopy of collective modes in a Bose-Einstein condensate: From single to double excitation periods
• Localization and multifractal properties of the long-range Kitaev chain in the presence of an Aubry-André-Harper modulation
• Localization with non-Hermitian off-diagonal disorder
• Two parameters scaling approach to Anderson localization of weekly interacting BEC