Coherent back and forward scattering peaks in the quantum kicked rotor

Abstract

We propose and analyze an experimental scheme using the quantum kicked rotor to observe the newly-predicted coherent forward scattering peak together with its long-known twin brother, the coherent backscattering peak. Contrary to coherent backscattering, which arises already under weak-localization conditions, coherent forward scattering is only triggered by Anderson or strong localization. So far, coherent forward scattering has not been observed in conservative systems with elastic scattering by spatial disorder. We propose to turn to the quantum kicked rotor, which has a long and succesful history as an accurate experimental platform to observe dynamical localization, i.e., Anderson localization in momentum space. We analyze the coherent forward scattering effect for the quantum kicked rotor by extensive numerical simulations, both in the orthogonal and unitary class of disordered quantum systems, and show that an experimental realization involving phase-space rotation techniques is within reach of state-of-the-art cold-atom experiments.

26 pages, 11 figures

References in corpus (21)

• Anderson Transitions
• Direct observation of Anderson localization of matter-waves in a controlled disorder
• Localization of ultrasound in a three-dimensional elastic network
• Anderson localization in Bose-Einstein condensates
• Interference of an array of independent Bose-Einstein condensates
• Quantum resonances and decoherence for delta-kicked atoms
• Measuring the one-particle excitations of ultracold fermionic atoms by stimulated Raman spectroscopy
• Expansion of a quantum gas released from an optical lattice
• Coherent Backscattering of Ultracold Atoms
• Mobility edge for cold atoms in laser speckle potentials
• Coherent Forward Scattering Peak Induced by Anderson Localization
• Coherent backscattering of Bose-Einstein condensates in two-dimensional disorder potentials
• Quantum simulation of disordered systems with cold atoms
• Coherent forward scattering in 2D disordered systems
• Metallic phase of the quantum Hall effect in four-dimensional space
• Dynamics of localized waves in 1D random potentials: statistical theory of the coherent forward scattering peak
• Semiclassical spectral function for matter waves in random potentials
• Destruction of Anderson localization by nonlinearity in kicked rotator at different effective dimensions
• Diffusive density profiles in a cold-atom expansion experiment
• Semiclassical spectral function and density of states in speckle potentials
• Phase space manipulations of many-body wavefunctions

Cited by in corpus (10)

• Controlling symmetry and localization with an artificial gauge field in a disordered quantum system
• Observation of the Quantum Boomerang Effect
• Quantum boomerang effect: beyond the standard Anderson model
• Spectral correlations in Anderson insulating wires
• Prethermalization and wave condensation in a nonlinear disordered Floquet system
• Critical dynamics of long-range quantum disordered systems
• Coherent forward scattering as a robust probe of multifractality in critical disordered media
• Coherent Forward Scattering Peak and Multifractality
• Interaction induced Anderson transition in a kicked one dimensional Bose gas
• Momentum Signatures of Site Percolation in Disordered 2D Ferromagnets