Phase diagram of the Anderson transition with atomic matter waves

Abstract

We realize experimentally a cold atom system equivalent to the 3D Anderson model of disordered solids where the anisotropy can be controlled by adjusting an experimentally accessible parameter. This allows us to study experimentally the disorder vs anisotropy phase diagram of the Anderson metal-insulator transition. Numerical and experimental data compare very well with each other and a theoretical analysis based on the self-consistent theory of localization correctly discribes the observed behavior, illustrating the flexibility of cold atom experiments for the study of transport phenomena in complex quantum systems.

References in corpus (5)

• Direct observation of Anderson localization of matter-waves in a controlled disorder
• Three-dimensional localization of ultracold atoms in an optical disordered potential
• Experimental Test of Universality of the Anderson Transition
• A semiclassical theory of the Anderson transition
• Is it possible to observe experimentally a metal-insulator transition in ultra cold atoms?

Cited by in corpus (23)

• Measurement of the mobility edge for 3D Anderson localization
• Experimental Observation of Two-Dimensional Anderson Localization with the Atomic Kicked Rotor
• Dynamics of the mean-field interacting quantum kicked rotor
• Two scenarios for quantum multifractality breakdown
• Ratchet Effect in the Quantum Kicked Rotor and its Destruction by Dynamical Localization
• Return to the Origin as a Probe of Atomic Phase Coherence
• Glassy properties of Anderson localization: pinning, avalanches and chaos
• Destruction of Anderson localization by nonlinearity in kicked rotator at different effective dimensions
• Multifractality of the kicked rotor at the critical point of the Anderson transition
• Coherent back and forward scattering peaks in the quantum kicked rotor
• Multifractality of open quantum systems
• Multifractality of quantum wave functions in the presence of perturbations
• Symmetry Violation of Quantum Multifractality: Gaussian fluctuations versus Algebraic Localization
• Interaction effects on dynamical localization in driven helium
• Bogoliubov excitations in the quasiperiodic kicked rotor: stability of a kicked condensate and the quasi-insulator-metal transition
• 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
• Critical Phenomena of Dynamical Delocalization in Quantum Maps:standard map and Anderson map
• Many-Body Anderson Metal-Insulator Transition using Kicked Quantum Gases
• Localization and delocalization properties in quasi-periodically driven one-dimensional disordered system
• Scaling Properties of Dynamical Localization in Monochromatically Perturbed Quantum Maps: standard map and Anderson map
• Anisotropy of localized states in an anisotropic disordered medium
• Localized-Diffusive and Ballistic-Diffusive Transitions in Kicked Incommensurate lattice