Phase-space methods for simulating the dissipative many-body dynamics of collective spin systems

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Huber, Julian and Kirton, Peter and Rabl, Peter (2021) Phase-space methods for simulating the dissipative many-body dynamics of collective spin systems. SciPost Physics, 10. 045. ISSN 2542-4653 (https://doi.org/10.21468/SciPostPhys.10.2.045)

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Abstract

We describe an efficient numerical method for simulating the dynamics and steady states of collective spin systems in the presence of dephasing and decay. The method is based on the Schwinger boson representation of spin operators and uses an extension of the truncated Wigner approximation to map the exact open system dynamics onto stochastic differential equations for the corresponding phase space distribution. This approach is most effective in the limit of very large spin quantum numbers, where exact numerical simulations and other approximation methods are no longer applicable. We benchmark this numerical technique for known superradiant decay and spin-squeezing processes and illustrate its application for the simulation of non-equilibrium phase transitions in dissipative spin lattice models.

ORCID iDs

Huber, Julian, Kirton, Peter ORCID logoORCID: https://orcid.org/0000-0002-3915-1098 and Rabl, Peter;
  • Item type:Article
    ID code:75598
    Dates:
    Date
    Event
    22 February 2021
    Published
    8 February 2021
    Accepted
    Subjects:Science > Physics
    Department:Faculty of Science > Physics
    Depositing user: Pure Administrator
    Date deposited:02 Mar 2021 14:31
    Last modified:18 Dec 2024 23:55
    URI:https://strathprints.strath.ac.uk/id/eprint/75598
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