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Density of states approach to dense quantum systems

Kurt Langfeld, Biagio Lucini Orcid Logo

Physical Review D, Volume: 90, Issue: 9

Swansea University Author: Biagio Lucini Orcid Logo

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Abstract

We develop a first-principle generalized density-of-states method for numerically studying quantum field theories with a complex action. As a proof of concept, we show that with our approach we can numerically solve the strong sign problem of the Z3 spin model at finite density. Our results are conf...

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Published in: Physical Review D
ISSN: 1550-7998 1550-2368
Published: 2014
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URI: https://cronfa.swan.ac.uk/Record/cronfa21394
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first_indexed 2015-05-15T02:02:56Z
last_indexed 2018-04-17T18:49:13Z
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spelling 2018-04-17T14:07:53.9896862 v2 21394 2015-05-14 Density of states approach to dense quantum systems 7e6fcfe060e07a351090e2a8aba363cf 0000-0001-8974-8266 Biagio Lucini Biagio Lucini true false 2015-05-14 SMA We develop a first-principle generalized density-of-states method for numerically studying quantum field theories with a complex action. As a proof of concept, we show that with our approach we can numerically solve the strong sign problem of the Z3 spin model at finite density. Our results are confirmed by standard simulations of the theory dual to the considered model, which is free from a sign problem. Our method opens new perspectives on ab initio simulations of cold dense quantum systems, and in particular of Yang-Mills theories with matter at finite densities, for which Monte Carlo-based importance sampling is unable to produce sufficiently accurate results. Journal Article Physical Review D 90 9 1550-7998 1550-2368 3 11 2014 2014-11-03 10.1103/PhysRevD.90.094502 COLLEGE NANME Mathematics COLLEGE CODE SMA Swansea University 2018-04-17T14:07:53.9896862 2015-05-14T10:51:29.2860695 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Kurt Langfeld 1 Biagio Lucini 0000-0001-8974-8266 2
title Density of states approach to dense quantum systems
spellingShingle Density of states approach to dense quantum systems
Biagio Lucini
title_short Density of states approach to dense quantum systems
title_full Density of states approach to dense quantum systems
title_fullStr Density of states approach to dense quantum systems
title_full_unstemmed Density of states approach to dense quantum systems
title_sort Density of states approach to dense quantum systems
author_id_str_mv 7e6fcfe060e07a351090e2a8aba363cf
author_id_fullname_str_mv 7e6fcfe060e07a351090e2a8aba363cf_***_Biagio Lucini
author Biagio Lucini
author2 Kurt Langfeld
Biagio Lucini
format Journal article
container_title Physical Review D
container_volume 90
container_issue 9
publishDate 2014
institution Swansea University
issn 1550-7998
1550-2368
doi_str_mv 10.1103/PhysRevD.90.094502
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Biosciences, Geography and Physics - Physics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Physics
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description We develop a first-principle generalized density-of-states method for numerically studying quantum field theories with a complex action. As a proof of concept, we show that with our approach we can numerically solve the strong sign problem of the Z3 spin model at finite density. Our results are confirmed by standard simulations of the theory dual to the considered model, which is free from a sign problem. Our method opens new perspectives on ab initio simulations of cold dense quantum systems, and in particular of Yang-Mills theories with matter at finite densities, for which Monte Carlo-based importance sampling is unable to produce sufficiently accurate results.
published_date 2014-11-03T03:25:22Z
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score 11.016861