A1 Refereed original research article in a scientific journal

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




AuthorsMerkel Konrad, Link Valentin, Luoma Kimmo, Strunz Walter T

PublisherIOP PUBLISHING LTD

Publication year2021

JournalJournal of Physics A: Mathematical and Theoretical

Journal name in sourceJOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL

Journal acronymJ PHYS A-MATH THEOR

Article numberARTN 035303

Volume54

Issue3

Number of pages14

ISSN1751-8113

DOIhttps://doi.org/10.1088/1751-8121/abd155(external)


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 local 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 can be powerful tools to investigate problems of current theoretical and experimental interest.



Last updated on 2024-26-11 at 14:38