Phase-space methods for simulating the dissipative many-body dynamics of collective spin systems
Julian Huber, Peter Kirton, Peter Rabl
SciPost Phys. 10, 045 (2021) · published 22 February 2021
- doi: 10.21468/SciPostPhys.10.2.045
- Submissions/Reports
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in the limit of very large spin quantum numbers, where exact numerical simulations and other approximation methods are no longer applicable.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.
Cited by 19
Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 Julian Huber,
- 1 2 Peter Kirton,
- 1 Peter Rabl
- Austrian Science Fund (FWF) (through Organization: Fonds zur Förderung der wissenschaftlichen Forschung / FWF Austrian Science Fund [FWF])
- Österreichischen Akademie der Wissenschaften (through Organization: Österreichische Akademie der Wissenschaften / Austrian Academy of Sciences [ÖAW])