Memory of the initial conditions in an incompletely chaotic quantum system: Universal predictions with application to cold atoms

V. A. Yurovsky, M. Olshanii

Research output: Contribution to journalArticlepeer-review

Abstract

Two zero-range-interacting atoms in a circular, transversely harmonic waveguide are used as a test bench for a quantitative description of the crossover between integrability and chaos in a quantum system with no selection rules. For such systems we show that the expectation value after relaxation of a generic observable is given by a linear interpolation between its initial and thermal expectation values. The variable of this interpolation is universal; it governs this simple law to cover the whole spectrum of the chaotic behavior from integrable regime through the well-developed quantum chaos. The predictions are confirmed for the waveguide system, where the mode occupations and the trapping energy were used as the observables of interest; a variety of the initial states and a full range of the interaction strengths have been tested.

Original languageEnglish
Article number025303
JournalPhysical Review Letters
Volume106
Issue number2
DOIs
StatePublished - 13 Jan 2011

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy

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