Variational analysis of driven-dissipative bosonic fields

Authored by

Tim Pistorius, Hendrik Weimer

Abstract

We present a method to perform a variational analysis of the quantum master equation for driven-disspative bosonic fields with arbitrary large occupation numbers. Our approach combines the P representation of the density matrix and the variational principle for open quantum system. We benchmark the method by comparing it to wave-function Monte-Carlo simulations and the solution of the Maxwell-Bloch equation for the Jaynes-Cummings model. Furthermore, we study a model describing Rydberg polaritons in a cavity field and introduce an additional set of variational paramaters to describe correlations between different modes.

Details

Organisation(s)
Institute of Theoretical Physics
QuantumFrontiers
CRC 1227 Designed Quantum States of Matter (DQ-mat)
Type
Article
Journal
Physical Review A
Volume
104
ISSN
2469-9926
Publication date
22.12.2021
Publication status
Published
Peer reviewed
Yes
ASJC Scopus subject areas
Atomic and Molecular Physics, and Optics
Electronic version(s)
https://arxiv.org/abs/2011.13746 (Access: Open )
https://doi.org/10.1103/PhysRevA.104.063711 (Access: Closed )

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