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.

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)