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Chemical Physics

ac-Driven quantum decay

Frank Grossman, Peter Hänggi A

Published Mar 1, 1993• 10 citations
Publisher
DOI
10.1016/0301-0104(93)85115-o

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The time-dependent average population in a two-level system interacting with an Ohmic boson bath and driven by a dc-ac field is obtained. The study is performed within the noninteracting-blip approximation and for the high-frequency driving case. The integro-differential master equation and the exact formal solution for the average transition probability are obtained. The dissipative quantum decay and the transition temperature from the coherent to the incoherent motion are investigated. The effect of the external electric field on the the dissipative two-level system is found to destroy its coherence.
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.