NDLI: Energy and coherence loss rates in a one-dimensional vibrational system interacting with a bath

Content Provider	Springer Nature Link
Author	Eremin, V. V. Glebov, I. O.
Copyright Year	2007
Abstract	We consider the problem of the dynamics of a Gaussian wave packet in a one-dimensional harmonic ocsillator interacting with a bath. This problem arises in many chemical and biochemical applications related to the dynamics of chemical reactions. We take the bath-oscillator interaction into account in the framework of the Redfield theory. We obtain closed expressions for Redfield-tensor elements, which allows finding the explicit time dependence of the average vibrational energy. We show that the energy loss rate is temperature-independent, is the same for all wave packets, and depends only on the spectral function of the bath. We determine the degree of coherence of the vibrational motion as the trace of the density-matrix projection on a coherently moving wave packet. We find an explicit expression for the initial coherence loss rate, which depends on the wave packet width and is directly proportional to the intensity of the interaction with the bath. The minimum coherence loss rate is observed for a “coherent” Gaussian wave packet whose width corresponds to the oscillator frequency. We calculate the limiting value of the degree of coherence for large times and show that it is independent of the structural characteristics of the bath and depends only on the parameters of the wave packet and on the temperature. It is possible that residual coherence can be preserved at low temperatures.
Starting Page	1463
Ending Page	1475
Page Count	13
File Format	PDF
ISSN	00405779
Journal	Theoretical and Mathematical Physics
Volume Number	153
Issue Number	1
e-ISSN	15739333
Language	English
Publisher	Springer US
Publisher Date	2007-01-01
Publisher Place	Boston
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	quantum dissipation Redfield theory density matrix harmonic oscillator degree of coherence wave packet Mathematical and Computational Physics Applications of Mathematics
Content Type	Text
Resource Type	Article
Subject	Statistical and Nonlinear Physics Mathematical Physics

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