English

Variational analysis of driven-dissipative bosonic fields

Quantum Physics 2022-01-05 v1

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.

Keywords

Cite

@article{arxiv.2011.13746,
  title  = {Variational analysis of driven-dissipative bosonic fields},
  author = {Tim Pistorius and Hendrik Weimer},
  journal= {arXiv preprint arXiv:2011.13746},
  year   = {2022}
}

Comments

9 pages, 5 figures, 1 table

R2 v1 2026-06-23T20:33:10.667Z