Expansion of a matter wave packet in a one-dimensional disordered potential in the presence of a uniform bias force

Abstract : We study numerically the expansion dynamics of an initially confined quantum wave packet in the presence of a disordered potential and a uniform bias force. For white-noise disorder, we find that the wave packet develops asymmetric algebraic tails for any ratio of the force to the disorder strength. The exponent of the algebraic tails decays smoothly with that ratio and no evidence of a critical behavior on the wave density profile is found. Algebraic localization features a series of critical values of the force-to-disorder strength where the m-th position moment of the wave packet diverges. Below the critical value for the m-th moment, we find fair agreement between the asymptotic long-time value of the m-th moment and the predictions of diagrammatic calculations. Above it, we find that the m-th moment grows algebraically in time. For correlated disorder, we find evidence of systematic delocalization, irrespective to the model of disorder. More precisely, we find a two-step dynamics, where both the center-of-mass position and the width of the wave packet show transient localization, similar to the white-noise case, at short time and delocalization at sufficiently long time. This correlation-induced delocalization is interpreted as due to the decrease of the effective de Broglie wave length, which lowers the effective strength of the disorder in the presence of finite-range correlations.
Complete list of metadatas

Cited literature [45 references]  Display  Hide  Download

https://hal-polytechnique.archives-ouvertes.fr/hal-01616799
Contributor : Laurent Sanchez-Palencia <>
Submitted on : Wednesday, January 17, 2018 - 2:56:23 PM
Last modification on : Monday, August 5, 2019 - 2:50:09 PM
Long-term archiving on : Tuesday, May 8, 2018 - 1:08:49 AM

Files

paper20180117.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-01616799, version 3
  • ARXIV : 1710.05595

Citation

C Crosnier de Bellaistre, C Trefzger, Alain Aspect, A. Georges, L Sanchez-Palencia. Expansion of a matter wave packet in a one-dimensional disordered potential in the presence of a uniform bias force. Physical Review A, 2018, 97, pp.013613. ⟨hal-01616799v3⟩

Share

Metrics

Record views

224

Files downloads

81