Simulations of quantum dynamics with fermionic phase-space
representations using numerical matrix factorizations as stochastic gauges
- URL: http://arxiv.org/abs/2304.05149v1
- Date: Tue, 11 Apr 2023 11:33:55 GMT
- Title: Simulations of quantum dynamics with fermionic phase-space
representations using numerical matrix factorizations as stochastic gauges
- Authors: F Rousse, M Fasi, A Dmytryshyn, M Gulliksson, M Ogren
- Abstract summary: We explore the use of dynamical diffusion gauges in quantum dynamics simulations.
For the physical systems with fermionic particles considered here, the numerical evaluation of the new diffusion gauges allows us to double the practical simulation time.
This development may have far reaching consequences for future quantum dynamical simulations of many-body systems.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: The Gaussian phase-space representation can be used to implement quantum
dynamics for fermionic particles numerically. To improve numerical results, we
explore the use of dynamical diffusion gauges in such implementations. This is
achieved by benchmarking quantum dynamics of few-body systems against
independent exact solutions. A diffusion gauge is implemented here as a
so-called noise-matrix, which satisfies a matrix equation defined by the
corresponding Fokker--Planck equation of the phase-space representation. For
the physical systems with fermionic particles considered here, the numerical
evaluation of the new diffusion gauges allows us to double the practical
simulation time, compared with hitherto known analytic noise-matrices. This
development may have far reaching consequences for future quantum dynamical
simulations of many-body systems.
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