Relaxation properties of two-level systems in condensed phases

Victor Romero-Rochin and Irwin Oppenheim

Physica A: Statistical Mechanics and its Applications, 1989, vol. 155, issue 1, 52-72

Abstract: The equation of motion for the reduced density matrix of a system weakly coupled to a bath is obtained using projection operator techniques. The exact equation of motion reduces to a generalized master equation when the bath relaxation is faster than the relaxation of the system induced by the weak interaction with the bath. The equation separates into streaming or systematic terms and dissipative terms which are separately equal to zero at equilibrium. We find both statistical and dynamical system frequency shifts; the statistical shifts are present in equilibrium but the dynamical shifts affect the time-dependence, only. The general results are applied to the two-level system model for tunneling in condensed phases.

Date: 1989
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:155:y:1989:i:1:p:52-72

DOI: 10.1016/0378-4371(89)90051-4

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