Europhys. Lett.
Volume 72, Number 4, November 2005
Page(s) 499 - 505
Section General
Published online 19 October 2005
Europhys. Lett., 72 (4), pp. 499-505 (2005)
DOI: 10.1209/epl/i2005-10289-5

Chaotic quantum decay in driven biased optical lattices

S. 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 $\omega$ in resonance with the Bloch frequency $\omega_B$, $q\omega=r\omega_B$ with integers q and r. Asymptotically, an algebraic decay $\sim t^{-\gamma}$ 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.

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