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Simulations of quantum dynamics with fermionic phase-space representations using numerical matrix factorizations as stochastic gauges
Örebro University, School of Science and Technology.ORCID iD: 0000-0002-6098-721X
School of Science and Technology, Örebro University, Örebro, Sweden; School of Computing, University of Leeds, Leeds, United Kingdom.ORCID iD: 0000-0002-6015-391X
Örebro University, School of Science and Technology.ORCID iD: 0000-0001-9110-6182
Örebro University, School of Science and Technology.ORCID iD: 0000-0003-0332-2315
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2024 (English)In: Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, E-ISSN 1751-8121, Vol. 57, no 1, article id 015303Article in journal (Refereed) Published
Abstract [en]

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. 

Place, publisher, year, edition, pages
Institute of Physics (IOP), 2024. Vol. 57, no 1, article id 015303
Keywords [en]
phase-space representations, quantum dynamics, diffusion gauges
National Category
Computational Mathematics Condensed Matter Physics
Research subject
Mathematics; Physics
Identifiers
URN: urn:nbn:se:oru:diva-110059DOI: 10.1088/1751-8121/ad0e2bISI: 001113350500001Scopus ID: 2-s2.0-85180071987OAI: oai:DiVA.org:oru-110059DiVA, id: diva2:1817350
Funder
Carl Tryggers foundation , CTS 19:431Wenner-Gren Foundations, UPD 2019-0067Swedish Research Council, 2021-05393Available from: 2023-12-05 Created: 2023-12-05 Last updated: 2024-02-05Bibliographically approved

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Rousse, FrançoisDmytryshyn, AndriiGulliksson, MårtenÖgren, Magnus

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Rousse, FrançoisFasi, MassimilianoDmytryshyn, AndriiGulliksson, MårtenÖgren, Magnus
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