Measurement of the mobility edge for 3D Anderson localization

Abstract

Anderson localization is a universal phenomenon affecting non-interacting quantum particles in disorder. In three spatial dimensions it becomes particularly interesting to study because of the presence of a quantum phase transition from localized to extended states, predicted by P.W. Anderson in his seminal work, taking place at a critical energy, the so-called mobility edge. The possible relation of the Anderson transition to the metal-insulator transitions observed in materials has originated a flurry of theoretical studies during the past 50 years, and it is now possible to predict very accurately the mobility edge starting from models of the microscopic disorder. However, the experiments performed so far with photons, ultrasound and ultracold atoms, while giving evidence of the transition, could not provide a precise measurement of the mobility edge. In this work we are able to obtain such a measurement using an ultracold atomic system in a disordered speckle potential, thanks to a precise control of the system energy. We find that the mobility edge is close to the mean disorder energy at small disorder strengths, while a clear effect of the spatial correlation of the disorder appears at larger strengths. The precise knowledge of the disorder properties in our system offers now the opportunity for an unprecedented experiment-theory comparison for 3D Anderson localization, which is also a necessary step to start the exploration of novel regimes for many-body disordered systems.

13 pages

References in corpus (10)

• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• Anderson Transitions
• Direct observation of Anderson localization of matter-waves in a controlled disorder
• Localization of ultrasound in a three-dimensional elastic network
• 39-K Bose-Einstein condensate with tunable interactions
• Mobility edge for cold atoms in laser speckle potentials
• How nonlinear interactions challenge the three-dimensional Anderson transition
• Bose-Einstein Condensates in Strongly Disordered Traps
• Diffusive density profiles in a cold-atom expansion experiment
• Anderson Localization of Matter Waves in 3D Anisotropic Disordered Potentials

Cited by in corpus (142)

• Exploring the many-body localization transition in two dimensions
• Probing entanglement in a many-body-localized system
• Exploring the Single-Particle Mobility Edge in a One-Dimensional Quasiperiodic Optical Lattice
• Observation of tunable mobility edges in generalized Aubry-André lattices
• Reentrant Localization Transition in a Quasiperiodic Chain
• Experimental observation of a phase transition in the evolution of many-body systems with dipolar interactions
• Engineering a flux-dependent mobility edge in disordered zigzag chains
• Anomalous mobility edges in one-dimensional quasiperiodic models
• Dynamics and Transport at the Threshold of Many-Body Localization
• Observation of two-dimensional Anderson localisation of ultracold atoms
• Non-equilibrium phase diagram of a 1D quasiperiodic system with a single-particle mobility edge
• Anderson localization of ultracold atoms: Where is the mobility edge?
• Quasiperiodic quantum heat engines with a mobility edge
• Measurement of spectral functions of ultracold atoms in disordered potentials
• Dynamical evolution in a one-dimensional incommensurate lattice with $\mathcal{P}\mathcal{T}$ symmetry
• Duality between two generalized Aubry-Andre models with exact mobility edges
• Universality in Anderson localization on random graphs with varying connectivity
• Dynamical observation of mobility edges in one-dimensional incommensurate optical lattices
• Quantum simulation of disordered systems with cold atoms
• Trapped-ion quantum simulation of excitation transport: disordered, noisy, and long-range connected quantum networks
• Ballistic, diffusive, and arrested transport in disordered momentum-space lattices
• Nonvanishing sub-gap photocurrent as a probe of lifetime effects
• Dephasing-induced mobility edges in quasicrystals
• Novel mobility edges in the off-diagonal disordered tight-binding models
• Investigating many-body mobility edges in isolated quantum systems
• Mobility edge of Stark many-body localization
• Critical behavior of the Anderson model on the Bethe lattice via a large-deviation approach
• The fate of reentrant localization phenomenon in the one-dimensional dimerized quasiperiodic chain with long-range hopping
• Anderson transition of cold atoms with synthetic spin-orbit coupling in two-dimensional speckle potentials
• Non-Hermitian pseudo mobility edge in a coupled chain system
• Quantum boomeranglike effect of wave packets in random media
• Intensity fluctuations signature of 3D Anderson localization of light
• Thermalization of matter waves in speckle potentials
• Quantum dynamics in the interacting Fibonacci chain
• Coherent forward scattering as a signature of Anderson metal-insulator transitions
• Tailoring 3D Speckle Statistics
• Precise Programmable Quantum Simulations with Optical Lattices
• Scaling and renormalization in the modern theory of polarization: application to disordered systems
• Elastic Scattering Time of Matter-Waves in Disordered Potentials
• Finite-Temperature Fluid-Insulator Transition of Strongly Interacting 1D Disordered Bosons
• Coherent backscattering reveals the Anderson transition
• Anderson localization in optical lattices with correlated disorder
• Coherent multiple scattering of out-of-equilibrium interacting Bose gases
• Semiclassical spectral function for matter waves in random potentials
• Localization and mobility edges in the off-diagonal quasiperiodic model with slowly varying potentials
• Critical dynamics at the Anderson localization mobility edge
• Coexistence of Localized and Extended States in Disordered Systems
• Dynamical Scaling of Surface Roughness and Entanglement Entropy in Disordered Fermion Models
• Quantum criticality in the disordered Aubry-André model
• Disorder-assisted excitation localization in chirally coupled quantum emitters
• Fate of topological states and mobility edges in one-dimensional slowly varying incommensurate potentials
• Coherent back and forward scattering peaks in the quantum kicked rotor
• Disorder-free localization in quantum walks
• Phase diagram of the 3D Anderson model for uncorrelated speckle potentials
• Single-particle localization in dynamical potentials
• Localization of phonons in mass disordered alloys - A typical medium dynamical cluster approach
• Localization of weakly interacting Bose gas in quasiperiodic potential
• Semiclassical spectral function and density of states in speckle potentials
• Quantum boomerang effect for interacting particles
• Localization of light in a three-dimensional disordered crystal of atoms
• Quantum boomerang effect in systems without time reversal symmetry
• Resolution of the exponent puzzle for the Anderson transition in doped semiconductors
• Measuring the Edwards-Anderson order parameter of the Bose glass: a quantum gas microscope approach
• Experimental realization of an ideal Floquet disordered system
• Robust quantum boomerang effect in non-Hermitian systems
• Many-Body Mobility Edge in Quantum Sun models
• Diffusive to non-ergodic dipolar transport in a dissipative atomic medium
• Disorder Induced Vortex Lattice Melting in Bose-Einstein Condensate
• Ubiquity of the quantum boomerang effect in Hermitian Anderson-localized systems
• Tunable disorder and localization in the rare-earth nickelates
• Coexistence of ergodic and weakly ergodic states in finite-height Wannier-Stark ladders
• Kibble-Zurek scaling in one-dimensional localization transitions
• Majorana zero modes, unconventional real-complex transition and mobility edges in a one-dimensional non-Hermitian quasi-periodic lattice
• Spectral Functions of One-Dimensional Systems with Correlated Disorder
• Finding the phase diagram of strongly-correlated disordered bosons using quantum quenches
• Localization of interacting Fermi gases in quasiperiodic potentials
• Multifractality of ab initio wave functions in doped semiconductors
• Anderson localization induced by complex potential
• Mean square displacement of a free quantum particle in a thermal state
• Plasmono-Atomic Interactions on a Fiber Tip
• Bogoliubov excitations in the quasiperiodic kicked rotor: stability of a kicked condensate and the quasi-insulator-metal transition
• Anderson localization of light in dimension $d-1$
• Localization versus subradiance in three-dimensional scattering of light
• Ferromagnetism in a Repulsive Atomic Fermi Gas with Correlated Disorder
• Instanton theory for bosons in disordered speckle potential
• Effect of a bias field on disordered waveguides: Universal scaling of conductance and application to ultracold atoms
• Experimental realization of a 3D long-range random hopping model
• Memories of initial states and density imbalance in dynamics of interacting disordered systems
• Synthetic Random Flux Model in a periodically-driven optical lattice
• Delocalization in infinite disordered 2D lattices of different geometry
• A self-consistent theory of localization in nonlinear random media
• Invariable mobility edge in a quasiperiodic lattice
• What can we learn from diffusion about Anderson localization of a degenerate Fermi gas?
• Anderson transition for light in three dimensions
• Resonances, mobility edges and gap-protected Anderson localization in generalized disordered mosaic lattices
• Quantum simulation of conductivity plateaux and fractional quantum Hall effect using ultracold atoms
• Spectral functions and localization landscape theory in speckle potentials
• Many-body quantum boomerang effect
• Non-Abelian gauge potential driven localization transition in quasiperiodic optical lattices
• Dissipation induced transition between delocalization and localization in the three-dimensional Anderson model
• Disorder in order: Localization without randomness in a cold atom system
• Impurity coupled to a lattice with disorder
• Mobility edge of two interacting particles in three-dimensional random potentials
• Imbalance for a family of one-dimensional incommensurate models with mobility edges
• Localization transitions and mobility edges in quasiperiodic ladder
• Two-body mobility edge in the Anderson-Hubbard model in three dimensions: Molecular versus scattering states
• Suppression of one-dimensional weak localization by band asymmetry
• Absence of two-body delocalization transitions in the two-dimensional Anderson-Hubbard model
• Selective final state spectroscopy and multifractality in two-component ultracold Bose-Einstein condensates: a numerical study
• Ultracold Atoms in Disordered Potentials: Elastic Scattering Time in the Strong Scattering Regime
• Observation of the algebraic localization-delocalization transition in a 1D disordered potential with a bias force
• Disordered cold atoms in different symmetry classes
• One-Dimensional Disordered Bosonic Systems
• Characterizing quantum gases in time-controlled disorder realizations using cross-correlations of density distributions
• Berezinskii approach to disordered spin systems with asymmetric scattering and application to the quantum boomerang effect
• Quantum Griffiths singularity in a three-dimensional superconductor to Anderson critical insulator transition
• Exact mobility edges in quasiperiodic network models with slowly varying potentials
• Exact multiple complex mobility edges and quantum state engineering in coupled 1D quasicystals
• Localization in periodically modulated speckle potentials
• Anderson Localization in Degenerate Spin-Orbit Coupled Fermi Gases with Disorder
• Localization properties of a two-channel 3D Anderson model
• Types of dynamical behavior in a quasiperiodic mosaic lattice
• Observation of high partial-wave Feshbach resonances in ${}^{39}$K Bose-Einstein condensates
• From percolation transition to Anderson localization in one-dimensional speckle potentials
• A fractional Anderson model
• Griffiths Physics in an Ultracold Bose Gas
• Anderson localisation in two dimensions: insights from Localisation Landscape Theory, exact diagonalisation, and time-dependent simulations
• Characterizing the delocalized-localized Anderson phase transition based on the system's response to boundary conditions
• Evading Anderson localization in a one-dimensional conductor with correlated disorder
• Probing Electron Localization and Delocalization in the Selective Long-Range Tight-Binding Model
• Synthesizing arbitrary dispersion relations in a modulated tilted optical lattice
• Higher-order localization landscape theory of Anderson localization
• Modal complexity as a metric for Anderson localization
• 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
• Exact Mobility Edges in a Disorder-Free Dimerized Stark Lattice with Effective Unbounded Hopping
• Experimental study of matter-wave four-wave mixing in ${}^{39}$K Bose-Einstein condensates with tunable interaction
• Identifying mobility edge from finite temperature spectral form factor
• Distinct reentrant transitions in a quasi-periodic Raman lattice
• Coexistence of extended and localized states in one-dimensional systems
• Bichromatic state-dependent disordered potential for Anderson localization of ultracold atoms
• Critical Dynamics of the Anderson Transition on Small-World Graphs