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Two-Time Correlation Functions of a System Coupled to a Heat Bath with a Gaussian-Markoffian Interaction

1989; Physical Society of Japan; Volume: 58; Issue: 4 Linguagem: Inglês

10.1143/jpsj.58.1199

1347-4073

Yoshitaka Tanimura, Ryogo Kubo,

Quantum Information and Cryptography

Two-time correlation functions of physical operators of a system interacting with a heat bath producing a Gaussian-Markoffian noise are treated with the use of Feynman-Vernon's influence functional formalism. The Laplace transforms of correlation functions are shown to be expressed in terms of continued fractions of relevant hyperoperators. The result is valid to all orders of the system-bath interaction. In the limitation of motional narrowing, it reduces to those obtained in conventional methods.