Volume 72, Number 4, November 2005
|Page(s)||499 - 505|
|Published online||19 October 2005|
Chaotic quantum decay in driven biased optical lattices
Fachbereich Physik, Technische Universität Kaiserslautern D-67653 Kaiserslautern, Germany
Corresponding author: email@example.com
Accepted: 27 September 2005
Quantum decay in an ac driven biased periodic potential modeling cold atoms in optical lattices is studied for a symmetry-broken driving. For the case of fully chaotic classical dynamics the classical exponential decay is quantum-mechanically suppressed for a driving frequency ω in resonance with the Bloch frequency , with integers q and r. Asymptotically, an algebraic decay is observed. For the exponent γ agrees with q as predicted by non-Hermitian random matrix theory for q decay channels. The time dependence of the survival probability can be well described by random matrix theory. The frequency dependence of the survival probability shows pronounced resonance peaks with sub-Fourier character.
PACS: 03.65.-w – Quantum mechanics / 03.65.Yz – Decoherence; open systems; quantum statistical methods / 05.45.-a – Nonlinear dynamics and nonlinear dynamical systems
© EDP Sciences, 2005
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