Realistic simulations of spin squeezing and cooperative coupling effects in large ensembles of interacting two-level systems

Julian Huber, Ana Maria Rey, Peter Rabl

Research output: Contribution to journalArticlepeer-review

14 Scopus citations

Abstract

We describe an efficient numerical method for simulating the dynamics of interacting spin ensembles in the presence of dephasing and decay. The method builds on the discrete truncated Wigner approximation for isolated systems, which combines the mean-field dynamics of a spin ensemble with a Monte Carlo sampling of discrete initial spin values to account for quantum correlations. Here we show how this approach can be generalized for dissipative spin systems by replacing the deterministic mean-field evolution by a stochastic process, which describes the decay of coherences and populations while preserving the length of each spin. We demonstrate the application of this technique for simulating nonclassical spin-squeezing effects or the dynamics and steady states of cavity QED models with 105 interacting two-level systems. This opens up the possibility to perform accurate real-scale simulations of a diverse range of experiments in quantum optics or with solid-state spin ensembles under realistic laboratory conditions.

Original languageEnglish
Article numberA45
JournalPhysical Review A
Volume105
Issue number1
DOIs
StatePublished - Jan 2022
Externally publishedYes

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