Non-Markovian Dissipative Semiclassical Dynamics

Details Non-Markovian Dissipative Semiclassical Dynamics Non-Markovian Dissipative Semiclassical Dynamics

2008-05-28

arxiv.org/abs/0805.4404v1

Phys. Rev. Lett. 100, 230402 (2008)

Physics

Condensed Matter

Statistical Mechanics

accepted for publication in Physical Review Letters

Scientific paper

10.1103/PhysRevLett.100.230402

The exact stochastic decomposition of non-Markovian dissipative quantum dynamics is combined with the time-dependent semiclassical initial value formalism. It is shown that even in the challenging regime of moderate friction and low temperatures, where non-Markovian effects are substantial, this approach allows for the accurate description of dissipative dynamics in anharmonic potentials over many oscillation periods until thermalization is reached. The problem of convergence of the stochastic average at long times, which plagues full quantum mechanical implementations, is avoided through a joint sampling of the stochastic noise and the semiclassical phase space distribution.

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