Between a metal and an insulator: the critical state of the Anderson transition
arXiv:1005.1540 · doi:10.1103/PhysRevLett.105.090601
Abstract
Using a three-frequency one-dimensional kicked rotor experimentally realized with a cold atomic gas, we study the transport properties at the critical point of the metal-insulator Anderson transition. We accurately measure the time-evolution of an initially localized wavepacket and show that it displays at the critical point a scaling invariance characteristic of this second-order phase transition. The shape of the momentum distribution at the critical point is found to be in excellent agreement with the analytical form deduced from self-consistent theory of localization.
4 pages, 3 figures, submitted to PRL
References in corpus (4)
- Direct observation of Anderson localization of matter-waves in a controlled disorder
- Localization of ultrasound in a three-dimensional elastic network
- Critical parameters from generalised multifractal analysis at the Anderson transition
- Observation of the Anderson Metal-Insulator Transition with Atomic Matter Waves: Theory and Experiment
Cited by in corpus (94)
- Measurement of the mobility edge for 3D Anderson localization
- Thouless time analysis of Anderson and many-body localization transitions
- Multifractal finite-size-scaling and universality at the Anderson transition
- Dynamics at the Many-Body Localization Transition
- Quantized Adiabatic Transport in Momentum Space
- Experimental Test of Universality of the Anderson Transition
- Atom-optics simulator of lattice transport phenomena
- Long-lived interacting phases of matter protected by multiple time-translation symmetries in quasiperiodically-driven systems
- An atom optics approach to studying lattice transport phenomena
- Quantum Hall effect in a one-dimensional dynamical system
- Evidence for a Quantum-to-Classical Transition in a Pair of Coupled Quantum Rotors
- Coherent Forward Scattering Peak Induced by Anderson Localization
- Localization of Bogoliubov quasiparticles in interacting Bose gases with correlated disorder
- How nonlinear interactions challenge the three-dimensional Anderson transition
- Coherent Backscattering of Ultracold Matter Waves: Momentum Space Signatures
- Multifractality at Anderson transitions with Coulomb interaction
- Quantum transport of atomic matterwaves in anisotropic 2D and 3D disorder
- Quantum phase transitions in the quasi-periodic kicked rotor
- Interaction-driven breakdown of dynamical localization in a kicked quantum gas
- Classification and symmetry properties of scaling dimensions at Anderson transitions
- Quantum simulation of disordered systems with cold atoms
- Symmetries of multifractal spectra and field theories of Anderson localization
- Interactions destroy dynamical localization with strong and weak chaos
- Dynamical Anderson transition in one-dimensional periodically kicked incommensurate lattices
- Kicked-Harper model vs On-Resonance Double Kicked Rotor Model: From Spectral Difference to Topological Equivalence
- Two scenarios for quantum multifractality breakdown
- Dynamics of the mean-field interacting quantum kicked rotor
- Coherent forward scattering in 2D disordered systems
- Phase diagram of the Anderson transition with atomic matter waves
- Quantum boomeranglike effect of wave packets in random media
- Multifractal wave functions of simple quantum maps
- Enhanced backscattering of a dilute Bose-Einstein condensate
- Anderson universality in a model of disordered phonons
- Levy flights and multifractality in quantum critical diffusion and in classical random walks on fractals
- Ratchet Effect in the Quantum Kicked Rotor and its Destruction by Dynamical Localization
- Coherent backscattering reveals the Anderson transition
- Return to the Origin as a Probe of Atomic Phase Coherence
- Anderson Localization in Disordered Vibrating Rods
- Coherent multiple scattering of out-of-equilibrium interacting Bose gases
- Critical dynamics at the Anderson localization mobility edge
- Multifractality in quasienergy space of coherent states as a signature of quantum chaos
- Quantum caustics and the hierarchy of light cones in quenched spin chains
- Multifractality of the kicked rotor at the critical point of the Anderson transition
- Effective thermalization of a many-body dynamically localized Bose gas
- Coherent back and forward scattering peaks in the quantum kicked rotor
- Fokker-Planck equation for transport of wave packets in nonlinear disordered media
- Kardar-Parisi-Zhang Physics in the Density Fluctuations of Localized Two-Dimensional Wave Packets
- Catastrophes in non-equilibrium many-particle wave functions: universality and critical scaling
- Multifractality of quantum wave packets
- Exponential Quantum Spreading in a Class of Kicked Rotor Systems near High-Order Resonances
- Metal--topological-insulator transition in the quantum kicked rotator with Z2 symmetry
- Exact exponents for the spin quantum Hall transition in the presence of multiple edge channels
- Multifractality of open quantum systems
- Sensitivity to the initial state of interacting ultracold bosons in disordered lattices
- Multifractality of quantum wave functions in the presence of perturbations
- Symmetry Violation of Quantum Multifractality: Gaussian fluctuations versus Algebraic Localization
- Floquet simulators for topological surface states in isolation
- Localization properties and high-fidelity state transfer in electronic hopping models with correlated disorder
- Unconventional quantum criticality in the kicked rotor
- Multiple scattering of light in cold atomic clouds with a magnetic field
- Bogoliubov excitations in the quasiperiodic kicked rotor: stability of a kicked condensate and the quasi-insulator-metal transition
- Interaction effects on dynamical localization in driven helium
- Quantum multifractality as a probe of phase space in the Dicke model
- Dynamical many-body delocalization transition of a Tonks gas in a quasi-periodic driving potential
- A quantum motor: directed wavepacket motion in an optical lattice
- Classical and Quantum Transport in One-Dimensional Periodically Kicked Systems
- Critical Phenomena of Dynamical Delocalization in Quantum Anderson Map
- Critical dynamics of long-range quantum disordered systems
- Critical Phenomena of Dynamical Delocalization in Quantum Maps:standard map and Anderson map
- Coherent forward scattering as a robust probe of multifractality in critical disordered media
- Scaling Properties of Dynamical Localization in Monochromatically Perturbed Quantum Maps: standard map and Anderson map
- Anderson localization induced by structural disorder
- Quantum logarithmic multifractality
- Fidelity of the near resonant quantum kicked rotor
- Spectral description of the dynamics of ultracold interacting bosons in disordered lattices
- Selective final state spectroscopy and multifractality in two-component ultracold Bose-Einstein condensates: a numerical study
- Relevant perturbations at the spin quantum Hall transition
- Staggered-Ladder Quasienergy Spectra for Generic Quasimomentum and Quantum-Dynamical Manifestations
- Dynamics of Anderson localization in disordered wires
- Kicked-rotor quantum resonances in position space: Application to situations of experimental interest
- Two-body interaction induced phase transitions and intermediate phases in nonreciprocal non-Hermitian quasicrystals
- Anderson Localization Phenomenon in One-dimensional Elastic Systems
- Interaction induced Anderson transition in a kicked one dimensional Bose gas
- Designing nontrivial one-dimensional Floquet topological phases using a spin-1/2 double-kicked rotor
- Protecting Quantum Information via Many-Body Dynamical Localization
- Statistical properties of power-law random banded unitary matrices in the delocalization-localization transition regime
- Presence and Absence of Delocalization-localization Transition in Coherently Perturbed Disordered Lattices
- Multifractality in aperiodic quantum spin chains
- Supersymmetry approach to delocalization transitions in a network model of the weak field quantum Hall effect and related models
- Critical behavior of Anderson transitions in higher dimensional Bogoliubov-de Gennes symmetry classes
- Decoherence effects in the dynamics of interacting ultracold bosons in disordered lattices
- Multifractality and quantum diffusion from self-consistent theory of localization
- Beyond the imbalance: site-resolved dynamics probing resonances in many-body localization
- Critical Dynamics of the Anderson Transition on Small-World Graphs