Kicked-rotor quantum resonances in position space

2007/11/11 by Maxence Lepers, Véronique Zehnlé, Jean Claude Garreau · 1 citation
Computer Science · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Nonlinear Dynamics and Pattern Formation #Quantum chaos and dynamical systems #nlin.CD #physics.atom-ph #physics.optics #quant-ph

paper · pdf · doi:10.1103/physreva.77.043628

published as Physical Review A: Atomic, Molecular and Optical Physics 77, 4 (2008) 043628 · 5 figures, format RevTeX 4

arxiv created 2007/11/11 · openalex publication_date 2008/04/24 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present an approach of the kicked-rotor quantum resonances in position space, based on its analogy with the optical Talbot effect. This leads to a very simple picture of the physical mechanism underlying the dynamics and to analytical expressions for relevant physical quantities. The ballistic behavior, which is closely associated with quantum resonances, is analyzed and shown to emerge from a coherent adding of successive kicks thanks to a periodic reconstruction of the spatial wave packet.

Citations

• Quantum resonances and decoherence for -kicked atoms
• Gravity-Sensitive Quantum Dynamics in Cold Atoms
• Observation of Sub-Fourier Resonances in a Quantum-Chaotic System
• Experimental Evidence of Dynamical Localization and Delocalization in a Quasiperiodic Driven System
• A universal instability of many-dimensional oscillator systems

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