Monday, June 24, 2013

1306.4986 (S. Genway et al.)

Dynamics of thermalization and decoherence of a nanoscale system    [PDF]

S. Genway, A. F. Ho, D. K. K. Lee
We study the decoherence and thermalization dynamics of a nanoscale system coupled non-perturbatively to a fully quantum mechanical bath. The system is prepared out of equilibrium in a pure state of the complete system. We propose a random matrix model to provide an analytical theory for the full temporal evolution of the system. We show that it decays towards a Gibbs ensemble in accordance with the eigenstate thermalization hypothesis. We find two robust temporal regimes in the approach to equilibrium --- an initial Gaussian decay followed by an exponential tail, consistent with numerical results on small interacting lattices [Phys. Rev. Lett. 105, 260402 (2010)].
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