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

Huber, Julian; Rey, Ana Maria; Rabl, Peter

doi:10.1103/physreva.105.013716

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

Journal Article · 24 January 2022 · Physical Review A

DOI: https://doi.org/10.1103/physreva.105.013716 · OSTI ID:1982746

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Technical Univ. of Vienna (Austria)
Univ. of Colorado, Boulder, CO (United States); National Inst. of Standards and Technology (NIST), Boulder, CO (United States)

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.

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Research Organization:: National Quantum Information Science (QIS) Research Centers (United States). Quantum Systems Accelerator (QSA)

Sponsoring Organization:: USDOE; Austrian Science Fund (FWF); National Science Foundation (NSF)

Grant/Contract Number:: AC02-05CH11231

OSTI ID:: 1982746

Journal Information:: Physical Review A, Journal Name: Physical Review A Journal Issue: 1 Vol. 105; ISSN 2469-9926

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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