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Time Evolution of a Quantum System in Contact with a Nearly Gaussian-Markoffian Noise Bath

1989; Physical Society of Japan; Volume: 58; Issue: 1 Linguagem: Inglês

10.1143/jpsj.58.101

1347-4073

Yoshitaka Tanimura, Ryogo Kubo,

stochastic dynamics and bifurcation

A test system is assumed to interact with a heat bath consisting of harmonic oscillators or an equivalent bath with a proper frequency spectrum producing a Gaussian-Markoffian random perturbation. The effect of reaction of the test system to the bath is considered in the high temperature approximation. Elimination of the bath using the influence functional method of Feynman and Vernon yields a continuous fraction expression for the reduced density matrix of the test system. The result affords a basis to clarify the relationship between the stochastic and the dynamical approaches to treat the problem of partial destruction of quantum coherence of a system interacting with its environment.