Chaotic Quantum Decay in Driven Biased Optical Lattices

Details Chaotic Quantum Decay in Driven Biased Optical Lattices Chaotic Quantum Decay in Driven Biased Optical Lattices

2005-06-13

arxiv.org/abs/quant-ph/0506090v2

Europhysics Lett. 72 (2005) 499

Physics

Quantum Physics

7 pages, 5 figures

Scientific paper

10.1209/epl/i2005-10289-5

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 \omega in resonance with the Bloch frequency \omega_B, q\omega=r\omega_B with integers q and r. Asymptotically an algebraic decay ~t^{-\gamma} is observed. For r=1 the exponent \gamma 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.

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