Quantum boomerang effect: beyond the standard Anderson model

Abstract

It was recently shown that wavepackets with skewed momentum distribution exhibit a boomerang-like dynamics in the Anderson model due to Anderson localization: after an initial ballistic motion, they make a U-turn and eventually come back to their starting point. In this paper, we study the robustness of the quantum boomerang effect in various kinds of disordered and dynamical systems: tight-binding models with pseudo-random potentials, systems with band random Hamiltonians, and the kicked rotor. Our results show that the boomerang effect persists in models with pseudo-random potentials. It is also present in the kicked rotor, although in this case with a specific dependency on the initial state. On the other hand, we find that random hopping processes inhibit any drift motion of the wavepacket, and consequently the boomerang effect. In particular, if the random nearest-neighbor hopping amplitudes have zero average, the wavepacket remains in its initial position.

12 pages, 8 figures

References in corpus (4)

• Direct observation of Anderson localization of matter-waves in a controlled disorder
• Experimental Realization of Quantum-Resonance Ratchets
• Rectified momentum transport for a kicked Bose-Einstein Condensate
• Enhancement of localization in one-dimensional random potentials with long-range correlations

Cited by in corpus (11)

• Observation of the Quantum Boomerang Effect
• Quantum boomerang effect in systems without time reversal symmetry
• Robust quantum boomerang effect in non-Hermitian systems
• Ubiquity of the quantum boomerang effect in Hermitian Anderson-localized systems
• Transport and localization properties of excitations in one-dimensional lattices with diagonal disordered mosaic modulations
• Many-body quantum boomerang effect
• Berezinskii approach to disordered spin systems with asymmetric scattering and application to the quantum boomerang effect
• Asymmetric dynamical localization and precision measurement of BEC micromotion
• From percolation transition to Anderson localization in one-dimensional speckle potentials
• Quantum Boomerang Effect in Time-Crystalline Structures
• Mesoscopic scattering dynamics under generic uniform SU(2) gauge fields: Spin-momentum relaxation and coherent backscattering