Chaotic quantum decay in driven biased optical latticesS. Mossmann, C. Schumann and H. J. Korsch
Fachbereich Physik, Technische Universität Kaiserslautern D-67653 Kaiserslautern, Germany
received 13 July 2005; accepted in final form 27 September 2005
published online 19 October 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 in resonance with the Bloch frequency , with integers q and r. Asymptotically, an algebraic decay is observed. For r=1 the exponent 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.
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