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Induced quantum stochastic processes: A solvable example of a quantum system strongly coupled with a reservoir

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  • Kosloff, R.

Abstract

A reduction of the N-body dynamics of a system coupled to a reservoir is presented, applicable for the strong coupling limit. The reduction is based on a Markovian description of the dynamics of the reservoir, which means that the dynamics of the system is averaged over a probability measure of a path the reservoir can realize. Examples are solved analytically using the Wiener measure of a path (path integral). A new approach is presented for a dynamical measure of a discrete Markov process (evolution governed by a master equation). It is found that at short times the dissipative term grows as t3, for long times if the Markov process can reach equilibrium the dynamics of the system can be described as a Gaussian semi-group type evolution.

Suggested Citation

  • Kosloff, R., 1982. "Induced quantum stochastic processes: A solvable example of a quantum system strongly coupled with a reservoir," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 110(1), pages 346-360.
    • Handle: RePEc:eee:phsmap:v:110:y:1982:i:1:p:346-360
    DOI: 10.1016/0378-4371(82)90123-6
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