Universal behavior in quantum chaotic dynamics

2010/07/12 by Hongwei Xiong, Biao Wu · 13 citations
Physics and Astronomy · #Artificial intelligence #Chaotic #Classical mechanics #Cold Atom Physics and Bose-Einstein Condensates #Computer science #Dynamics (music) #Physics #Quantum #Quantum chaos and dynamical systems #Quantum dynamics #Quantum many-body systems #Quantum mechanics #Statistical physics #cond-mat.quant-gas #quant-ph

paper · pdf · doi:10.1002/lapl.201010144

published in Laser Physics Letters 8(5), 398-404 (IOP Publishing) · 4 figures

arxiv created 2010/07/12 · openalex publication_date 2011/03/01 · arxiv updated 2015/05/19 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We discover numerically that a moving wave packet in a chaotic billiard will always evolve into a quantum state, whose density probability distribution is exponential. This exponential distribution is found to be universal for quantum chaotic systems with rigorous proof. In contrast, for the corresponding classical system, the distribution is Gaussian. We find that the quantum exponential distribution can smoothly change to the classical Gaussian distribution with coarse graining. This universal dynamical behavior can be observed experimentally with Bose-Einstein condensates.

Citations

• Thermalization and its mechanism for generic isolated quantum systems
• Bloch Oscillations and Mean-Field Effects of Bose-Einstein Condensates in 1D Optical Lattices
• Chaos and Quantum Thermalization
• Emergence of Turbulence in an Oscillating Bose-Einstein Condensate
• Quantum statistical mechanics in a closed system
• On the Quantum Correction For Thermodynamic Equilibrium