Thursday, March 8, 2012

0911.5587 (Maxim Olshanii et al.)

Memory of the Initial Conditions in an Incompletely-Chaotic Quantum
System: Universal Predictions and an Application to Cold Atoms
   [PDF]

Maxim Olshanii, Vladimir Yurovsky
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.
View original: http://arxiv.org/abs/0911.5587

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