Phase space theory for open quantum systems with local and collective dissipative processes

• URL: http://arxiv.org/abs/2006.03264v1
• Date: Fri, 5 Jun 2020 07:22:02 GMT
• Title: Phase space theory for open quantum systems with local and collective dissipative processes
• Authors: Konrad Merkel, Valentin Link, Kimmo Luoma and Walter T. Strunz
• Abstract summary: We investigate driven dissipative quantum dynamics of an ensemble of two-level systems given by a Markovian master equation with collective and noncollective dissipators. Our results expose, utilize and promote pioneered techniques in the context of laser theory.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In this article we investigate driven dissipative quantum dynamics of an ensemble of two-level systems given by a Markovian master equation with collective and non-collective dissipators. Exploiting the permutation symmetry in our model, we employ a phase space approach for the solution of this equation in terms of a diagonal representation with respect to certain generalized spin coherent states. Remarkably, this allows to interpolate between mean-field theory and finite system size in a formalism independent of Hilbert-space dimension. Moreover, in certain parameter regimes, the evolution equation for the corresponding quasiprobability distribution resembles a Fokker-Planck equation, which can be efficiently solved by stochastic calculus. Then, the dynamics can be seen as classical in the sense that no entanglement between the two-level systems is generated. Our results expose, utilize and promote techniques pioneered in the context of laser theory, which we now apply to problems of current theoretical and experimental interest.

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