Quantum dissipation in open harmonic systems - Operator solution and application to decay process

Izumi Joichi, Shigeki Matsumoto, Motohiko Yoshimura

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

Study of a system of a finite number of harmonic oscillators coupled to an environment consisting of infinitely many oscillators is fundamental to the problem of understanding quantum dissipation of a small system immersed in a large environment. The exact operator solution as a function of time is found, by using a diagonalized dynamical variable representing the entire system, the small system plus the environment. The decay law of the prepared initial configuration in the medium is worked out in great detail. A clear separation of the exponential and power-law decay period is made possible by our method. Behavior of physical quantities at asymptotically late times can be understood in terms of the overlap probability of the system variable with the diagonal variable of the entire system. The final abundance of decaying particles has the power dependence of the environment temperature at low temperatures, without the Boltzmann suppression factor.

Original languageEnglish
Pages (from-to)9-28
Number of pages20
JournalProgress of Theoretical Physics
Volume98
Issue number1
Publication statusPublished - Jul 1997
Externally publishedYes

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dissipation
harmonics
operators
decay
harmonic oscillators
oscillators
retarding
configurations
temperature

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Quantum dissipation in open harmonic systems - Operator solution and application to decay process. / Joichi, Izumi; Matsumoto, Shigeki; Yoshimura, Motohiko.

In: Progress of Theoretical Physics, Vol. 98, No. 1, 07.1997, p. 9-28.

Research output: Contribution to journalArticle

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