Observation of the Anderson Metal-Insulator Transition with Atomic Matter Waves: Theory and Experiment

Abstract

Using a cold atomic gas exposed to laser pulses -- a realization of the chaotic quasiperiodic kicked rotor with three incommensurate frequencies -- we study experimentally and theoretically the Anderson metal-insulator transition in three dimensions. Sensitive measurements of the atomic wavefunction and the use of finite-size scaling techniques make it possible to unambiguously demonstrate the existence of a quantum phase transition and to measure its critical exponents. By taking proper account of systematic corrections to one-parameter scaling, we show the universality of the critical exponent $\nu =1.59\pm 0.01,$ which is found to be equal to the one previously computed for the Anderson model.

19 pages, 15 figures, submitted to PRA

References in corpus (27)

• Decoherence, einselection, and the quantum origins of the classical
• Anderson Transitions
• Metal-insulator transition in a weakly interacting many-electron system with localized single-particle states
• Direct observation of Anderson localization of matter-waves in a controlled disorder
• Localization of ultrasound in a three-dimensional elastic network
• Observation of the critical regime near Anderson localization of light
• Experimental observation of the Anderson transition with atomic matter waves
• Corrections to scaling at the Anderson transition
• Statistics and Scaling in Disordered Mesoscopic Electron Systems
• The Anderson transition: time reversal symmetry and universality
• Experimental evidence of dynamical localization and delocalization in a quasi-periodic driven system
• Anomalous diffusion at the Anderson transitions
• Field theory of the quantum kicked rotor
• Dynamic localization in quantum dots: analytical theory
• Proposal of a Cold-atom Realization of Quantum Maps with Hofstadter's Butterfly Spectrum
• Critical Exponents for the Metal--Insulator Transition in Disordered Systems
• Observation of sub-Fourier resonances in a quantum-chaotic system
• Localization in Highly Anisotropic Systems
• A semiclassical theory of the Anderson transition
• Anderson transition in a three dimensional kicked rotor
• Critical properties of the metal-insulator transition in anisotropic systems
• Reversible Destruction of Dynamical Localization
• Universality of the Anderson transition with the quasiperiodic kicked rotor
• Particle propagation in a random and quasiperiodic potential
• Improving Raman velocimetry of laser-cooled cesium atoms by spin-polarization
• Quantum diffusion in the quasiperiodic kicked rotor
• Quantum scaling laws in the onset of dynamical delocalization

Cited by in corpus (84)

• Many-body localization in periodically driven systems
• Time crystals: a review
• Periodically driven ergodic and many-body localized quantum systems
• Multifractal finite-size-scaling and universality at the Anderson transition
• Experimental observation of a phase transition in the evolution of many-body systems with dipolar interactions
• Critical parameters from generalised multifractal analysis at the Anderson transition
• Cold atoms in the presence of disorder
• Between a metal and an insulator: the critical state of the Anderson transition
• Experimental Observation of Two-Dimensional Anderson Localization with the Atomic Kicked Rotor
• Experimental Test of Universality of the Anderson Transition
• Quantum Hall effect in a one-dimensional dynamical system
• Unconventional localisation transition in high dimensions
• Time crystals: analysis of experimental conditions
• Evidence for a Quantum-to-Classical Transition in a Pair of Coupled Quantum Rotors
• Critical properties of the Anderson transition in random graphs: two-parameter scaling theory, Kosterlitz-Thouless type flow and many-body localization
• Equilibration Dynamics of Strongly Interacting Bosons in 2D Lattices with Disorder
• Controlling symmetry and localization with an artificial gauge field in a disordered quantum system
• From localization to anomalous diffusion in the dynamics of coupled kicked rotors
• Anderson localization of phonons in dimension $d=1,2,3$ : finite-size properties of the Inverse Participation Ratios of eigenstates
• Anderson localization in the time domain
• Critical Exponent of the Anderson Transition using Massively Parallel Supercomputing
• Quantum simulation of disordered systems with cold atoms
• Three-dimensional localized-delocalized Anderson transition in the time domain
• Interactions destroy dynamical localization with strong and weak chaos
• Finite-size scaling analysis of localization transition for scalar waves in a 3D ensemble of resonant point scatterers
• Localisation, delocalisation, and topological transitions in disordered 2D quantum walks
• Anderson localization of a Rydberg electron along a classical orbit
• Dynamics of the mean-field interacting quantum kicked rotor
• Phase diagram of the Anderson transition with atomic matter waves
• Multifractal wave functions of simple quantum maps
• Controlled engineering of extended states in disordered systems
• Metallic phase of the quantum Hall effect in four-dimensional space
• Thermalization of matter waves in speckle potentials
• Decoherence scaling transition in the dynamics of quantum information scrambling
• Anderson universality in a model of disordered phonons
• Disorder-driven transition in a chain with power-law hopping
• Ratchet Effect in the Quantum Kicked Rotor and its Destruction by Dynamical Localization
• Return to the Origin as a Probe of Atomic Phase Coherence
• Critical dynamics at the Anderson localization mobility edge
• Finite Cluster Typical Medium Theory for Disordered Electronic Systems
• Dynamical localization and slow dynamics in quasiperiodically-driven quantum systems
• Multifractality of the kicked rotor at the critical point of the Anderson transition
• Effective thermalization of a many-body dynamically localized Bose gas
• Generating a Fractal Butterfly Floquet Spectrum in a Class of Driven SU(2) Systems: Eigenstate Statistics
• Coherent back and forward scattering peaks in the quantum kicked rotor
• Sisyphus Thermalization of Photons in a Cavity-Coupled Double Quantum Dot
• Dynamical localization of interacting bosons in the few-body limit
• Multifractality of quantum wave functions in the presence of perturbations
• Sensitivity to the initial state of interacting ultracold bosons in disordered lattices
• Anderson Localization in Photonic Time Crystals
• Unconventional quantum criticality in the kicked rotor
• Symmetry Violation of Quantum Multifractality: Gaussian fluctuations versus Algebraic Localization
• Floquet simulators for topological surface states in isolation
• Bogoliubov excitations in the quasiperiodic kicked rotor: stability of a kicked condensate and the quasi-insulator-metal transition
• Chaos-assisted tunneling in the presence of Anderson localization
• Finite-time scaling at the Anderson transition for vibrations in solids
• Classical diffusive dynamics for the quasiperiodic kicked rotor
• Anderson transition for light in three dimensions
• Transport of Hubbard-Band Quasiparticles in Disordered Optical Lattices
• Suppression of decoherence effects in the quantum kicked rotor
• Dynamical many-body delocalization transition of a Tonks gas in a quasi-periodic driving potential
• Suppression of transport anisotropy at the Anderson localization transition in three-dimensional anisotropic media
• Machine learning the dynamics of quantum kicked rotor
• Prethermalization and wave condensation in a nonlinear disordered Floquet system
• Coherent forward scattering as a robust probe of multifractality in critical disordered media
• Coexistence of directed momentum current and ballistic energy diffusion in coupled non-Hermitian kicked rotors
• Critical dynamics of long-range quantum disordered systems
• Thermalization of Atom-Molecule Bose Gases in a Double-Well Potential
• Quantum and Classical Chaos in Kicked Coupled Jaynes-Cummings Cavities
• Many-Body Anderson Metal-Insulator Transition using Kicked Quantum Gases
• Chaos and localized phases in a two-body linear kicked rotor system
• Spectral description of the dynamics of ultracold interacting bosons in disordered lattices
• Quantum logarithmic multifractality
• Interaction induced Anderson transition in a kicked one dimensional Bose gas
• Localization properties of the asymptotic density distribution of a one-dimensional disordered system
• Protecting Quantum Information via Many-Body Dynamical Localization
• Temporal localization of optical waves supported by a copropagating quasiperiodic structure
• Observation of Many-body Dynamical Delocalization in a Kicked Ultracold Gas
• Kicked-rotor quantum resonances in position space: Application to situations of experimental interest
• Superfluidity vs prethermalisation in a nonlinear Floquet system
• Decoherence effects in the dynamics of interacting ultracold bosons in disordered lattices
• Critical behavior of Anderson transitions in higher dimensional Bogoliubov-de Gennes symmetry classes
• Engineering Anderson Localization in Arbitrary Dimensions with Interacting Quasiperiodic Kicked Bosons
• Critical Dynamics of the Anderson Transition on Small-World Graphs