Variational analysis of driven-dissipative bosonic fields

TL;DR

This paper introduces a variational method combining P representation and variational principles to analyze driven-dissipative bosonic fields with large occupation numbers, validated against established simulations.

Contribution

The authors develop a novel variational approach for open quantum systems that handles large occupation numbers and includes correlations between modes.

Findings

The method accurately reproduces results from wave-function Monte-Carlo simulations.

It successfully models the Jaynes-Cummings system and Rydberg polaritons.

The approach extends the analysis capabilities for complex driven-dissipative bosonic systems.

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.