Wavepacket Dynamics, Quantum Reversibility and Random Matrix Theory

Details Wavepacket Dynamics, Quantum Reversibility and Random Matrix Theory Wavepacket Dynamics, Quantum Reversibility and Random Matrix Theory

2005-06-14

arxiv.org/abs/cond-mat/0506300v1

Annals of Physics 321, 1025 (2006)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

46 pages, 18 figures

Scientific paper

10.1016/j.aop.2005.12.003

We introduce and analyze the physics of "driving reversal" experiments. These are prototype wavepacket dynamics scenarios probing quantum irreversibility. Unlike the mostly hypothetical "time reversal" concept, a "driving reversal" scenario can be realized in a laboratory experiment, and is relevant to the theory of quantum dissipation. We study both the energy spreading and the survival probability in such experiments. We also introduce and study the "compensation time" (time of maximum return) in such a scenario. Extensive effort is devoted to figuring out the capability of either Linear Response Theory (LRT) or Random Matrix Theory (RMT) in order to describe specific features of the time evolution. We explain that RMT modeling leads to a strong non-perturbative response effect that differs from the semiclassical behavior.

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