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#### Mean field Ehrenfest quantum/classical simulation of vibrational energy relaxation in a simple liquid

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##### Citation

Kaeb, G. (2002). Mean field Ehrenfest quantum/classical simulation of vibrational energy
relaxation in a simple liquid.* Physical Review E,* *66*(4):
046117, pp. 046117-046117. Retrieved from http://pre.aps.org/pdf/PRE/v66/i4/e046117.

Cite as: http://hdl.handle.net/11858/00-001M-0000-0012-F2E1-D

##### Abstract

We give a detailed account of the statistical mechanical properties of the mean field Ehrenfest quantum/classical method as applied to liquid phase vibrational energy transfer using a simple harmonic oscillator model Hamiltonian. Depending on the shape of the initial quantum wave packet, a (partial) breakdown of detailed balance is observed, where the frictional response of the classical bath is only correlated to quasiclassical features of the evolving quantum state, i.e., a classical-like fluctuation-dissipation theorem holds. Only in the case of a coherent initial state (minimum uncertainty wave packet) does the mean field method produce physically meaningful results, namely, exponential relaxation (tau = tau(cl)) towards a quasiclassical equilibrium.