Low density limit: Without rotating wave approximation

In the present paper we investigate the low density limit of a quantum “System + Reservoir” model in which the temperature is finite and the Hamiltonian of the system has a discrete spectrum. It is proved that the matrix elements of the time evolution operator, with a time rescaling and some proper...

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Bibliographic Details
Published in:Reports on mathematical physics 1996, Vol.37 (2), p.177-215
Main Author: Lu, Yun-Gang
Format: Article
Language:English
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Summary:In the present paper we investigate the low density limit of a quantum “System + Reservoir” model in which the temperature is finite and the Hamiltonian of the system has a discrete spectrum. It is proved that the matrix elements of the time evolution operator, with a time rescaling and some proper choice of collective vector, tends to matrix elements of a solution of a quantum stochastic differential equation driven by a quantum Poisson process.
ISSN:0034-4877
1879-0674
DOI:10.1016/0034-4877(96)89763-1