Efficient computations of continuous action densities of states for lattice models

Lucini, Biagio; Francesconi, Olmo; Holzmann, Markus; Lancaster, David; Rago, Antonio

doi:10.1088/1742-6596/2207/1/012052

Journal article 686 views 59 downloads

Efficient computations of continuous action densities of states for lattice models

Biagio Lucini

, Olmo Francesconi, Markus Holzmann, David Lancaster, Antonio Rago

Journal of Physics: Conference Series, Volume: 2207, Issue: 1, Start page: 012052

Swansea University Author: Biagio Lucini

PDF | Version of Record

Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence
Download (586.46KB)

Check full text

DOI (Published version): 10.1088/1742-6596/2207/1/012052

Abstract

The Logarithmic Linear Relaxation (LLR) algorithm is an efficient method for computing densities of states for systems with a continuous spectrum. A key feature of this method is exponential error reduction, which allows us to evaluate the density of states of a system over hundreds of thousands of...

Full description

Published in:	Journal of Physics: Conference Series
ISSN:	1742-6588 1742-6596
Published:	IOP Publishing 2022
Online Access:	Check full text
URI:	https://cronfa.swan.ac.uk/Record/cronfa60426

first_indexed	2022-07-08T18:42:49Z
last_indexed	2023-01-13T19:20:32Z
id	cronfa60426
recordtype	SURis
fullrecord	<?xml version="1.0"?><rfc1807><datestamp>2022-08-05T13:04:26.5492454</datestamp><bib-version>v2</bib-version><id>60426</id><entry>2022-07-08</entry><title>Efficient computations of continuous action densities of states for lattice models</title><swanseaauthors><author><sid>7e6fcfe060e07a351090e2a8aba363cf</sid><ORCID>0000-0001-8974-8266</ORCID><firstname>Biagio</firstname><surname>Lucini</surname><name>Biagio Lucini</name><active>true</active><ethesisStudent>false</ethesisStudent></author></swanseaauthors><date>2022-07-08</date><deptcode>MACS</deptcode><abstract>The Logarithmic Linear Relaxation (LLR) algorithm is an efficient method for computing densities of states for systems with a continuous spectrum. A key feature of this method is exponential error reduction, which allows us to evaluate the density of states of a system over hundreds of thousands of orders of magnitude with a fixed level of relative accuracy. As a consequence of exponential error reduction, the LLR method provides a robust alternative to traditional Monte Carlo calculations in cases in which states suppressed by the Boltzmann weight play nevertheless a relevant role, e.g., as transition regions between dominant configuration sets. After reviewing the algorithm, we will show an application in U(1) Lattice Gauge Theory that has enabled us to obtain the most accurate estimate of the critical coupling with modest computational resources, defeating exponential tunneling times between metastable vacua. As a further showcase, we will then present an application of the LLR method to the decorrelation of the topological charge in SU(3) Lattice Gauge Theory near the continuum limit. Finally, we will review in general applications of the LLR algorithm to systems affected by a strong sign problem and discuss the case of the Bose gas at finite chemical potential.</abstract><type>Journal Article</type><journal>Journal of Physics: Conference Series</journal><volume>2207</volume><journalNumber>1</journalNumber><paginationStart>012052</paginationStart><paginationEnd/><publisher>IOP Publishing</publisher><placeOfPublication/><isbnPrint/><isbnElectronic/><issnPrint>1742-6588</issnPrint><issnElectronic>1742-6596</issnElectronic><keywords/><publishedDay>1</publishedDay><publishedMonth>3</publishedMonth><publishedYear>2022</publishedYear><publishedDate>2022-03-01</publishedDate><doi>10.1088/1742-6596/2207/1/012052</doi><url/><notes/><college>COLLEGE NANME</college><department>Mathematics and Computer Science School</department><CollegeCode>COLLEGE CODE</CollegeCode><DepartmentCode>MACS</DepartmentCode><institution>Swansea University</institution><apcterm>External research funder(s) paid the OA fee (includes OA grants disbursed by the Library)</apcterm><funders>ANR, Royal Society, Leverhulme Trust, STFC, ERC, ERDF</funders><projectreference>ANR-15-IDEX-02e, WM170010 , RF-2020-461\9, ST/P000479/1, 813942.</projectreference><lastEdited>2022-08-05T13:04:26.5492454</lastEdited><Created>2022-07-08T19:35:48.7086853</Created><path><level id="1">Faculty of Science and Engineering</level><level id="2">School of Mathematics and Computer Science - Mathematics</level></path><authors><author><firstname>Biagio</firstname><surname>Lucini</surname><orcid>0000-0001-8974-8266</orcid><order>1</order></author><author><firstname>Olmo</firstname><surname>Francesconi</surname><order>2</order></author><author><firstname>Markus</firstname><surname>Holzmann</surname><order>3</order></author><author><firstname>David</firstname><surname>Lancaster</surname><order>4</order></author><author><firstname>Antonio</firstname><surname>Rago</surname><order>5</order></author></authors><documents><document><filename>60426__24517__550b3e7aa01947619aa9fb77696edfe1.pdf</filename><originalFilename>Lucini_2022_J._Phys.__Conf._Ser._2207_012052.pdf</originalFilename><uploaded>2022-07-08T19:42:18.5021562</uploaded><type>Output</type><contentLength>600538</contentLength><contentType>application/pdf</contentType><version>Version of Record</version><cronfaStatus>true</cronfaStatus><documentNotes>Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence</documentNotes><copyrightCorrect>true</copyrightCorrect><language>eng</language><licence>http://creativecommons.org/licenses/by/3.0</licence></document></documents><OutputDurs/></rfc1807>
spelling	2022-08-05T13:04:26.5492454 v2 60426 2022-07-08 Efficient computations of continuous action densities of states for lattice models 7e6fcfe060e07a351090e2a8aba363cf 0000-0001-8974-8266 Biagio Lucini Biagio Lucini true false 2022-07-08 MACS The Logarithmic Linear Relaxation (LLR) algorithm is an efficient method for computing densities of states for systems with a continuous spectrum. A key feature of this method is exponential error reduction, which allows us to evaluate the density of states of a system over hundreds of thousands of orders of magnitude with a fixed level of relative accuracy. As a consequence of exponential error reduction, the LLR method provides a robust alternative to traditional Monte Carlo calculations in cases in which states suppressed by the Boltzmann weight play nevertheless a relevant role, e.g., as transition regions between dominant configuration sets. After reviewing the algorithm, we will show an application in U(1) Lattice Gauge Theory that has enabled us to obtain the most accurate estimate of the critical coupling with modest computational resources, defeating exponential tunneling times between metastable vacua. As a further showcase, we will then present an application of the LLR method to the decorrelation of the topological charge in SU(3) Lattice Gauge Theory near the continuum limit. Finally, we will review in general applications of the LLR algorithm to systems affected by a strong sign problem and discuss the case of the Bose gas at finite chemical potential. Journal Article Journal of Physics: Conference Series 2207 1 012052 IOP Publishing 1742-6588 1742-6596 1 3 2022 2022-03-01 10.1088/1742-6596/2207/1/012052 COLLEGE NANME Mathematics and Computer Science School COLLEGE CODE MACS Swansea University External research funder(s) paid the OA fee (includes OA grants disbursed by the Library) ANR, Royal Society, Leverhulme Trust, STFC, ERC, ERDF ANR-15-IDEX-02e, WM170010 , RF-2020-461\9, ST/P000479/1, 813942. 2022-08-05T13:04:26.5492454 2022-07-08T19:35:48.7086853 Faculty of Science and Engineering School of Mathematics and Computer Science - Mathematics Biagio Lucini 0000-0001-8974-8266 1 Olmo Francesconi 2 Markus Holzmann 3 David Lancaster 4 Antonio Rago 5 60426__24517__550b3e7aa01947619aa9fb77696edfe1.pdf Lucini_2022_J._Phys.__Conf._Ser._2207_012052.pdf 2022-07-08T19:42:18.5021562 Output 600538 application/pdf Version of Record true Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence true eng http://creativecommons.org/licenses/by/3.0
title	Efficient computations of continuous action densities of states for lattice models
spellingShingle	Efficient computations of continuous action densities of states for lattice models Biagio Lucini
title_short	Efficient computations of continuous action densities of states for lattice models
title_full	Efficient computations of continuous action densities of states for lattice models
title_fullStr	Efficient computations of continuous action densities of states for lattice models
title_full_unstemmed	Efficient computations of continuous action densities of states for lattice models
title_sort	Efficient computations of continuous action densities of states for lattice models
author_id_str_mv	7e6fcfe060e07a351090e2a8aba363cf
author_id_fullname_str_mv	7e6fcfe060e07a351090e2a8aba363cf_***_Biagio Lucini
author	Biagio Lucini
author2	Biagio Lucini Olmo Francesconi Markus Holzmann David Lancaster Antonio Rago
format	Journal article
container_title	Journal of Physics: Conference Series
container_volume	2207
container_issue	1
container_start_page	012052
publishDate	2022
institution	Swansea University
issn	1742-6588 1742-6596
doi_str_mv	10.1088/1742-6596/2207/1/012052
publisher	IOP Publishing
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 Mathematics and Computer Science - Mathematics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Mathematics and Computer Science - Mathematics
document_store_str	1
active_str	0
description	The Logarithmic Linear Relaxation (LLR) algorithm is an efficient method for computing densities of states for systems with a continuous spectrum. A key feature of this method is exponential error reduction, which allows us to evaluate the density of states of a system over hundreds of thousands of orders of magnitude with a fixed level of relative accuracy. As a consequence of exponential error reduction, the LLR method provides a robust alternative to traditional Monte Carlo calculations in cases in which states suppressed by the Boltzmann weight play nevertheless a relevant role, e.g., as transition regions between dominant configuration sets. After reviewing the algorithm, we will show an application in U(1) Lattice Gauge Theory that has enabled us to obtain the most accurate estimate of the critical coupling with modest computational resources, defeating exponential tunneling times between metastable vacua. As a further showcase, we will then present an application of the LLR method to the decorrelation of the topological charge in SU(3) Lattice Gauge Theory near the continuum limit. Finally, we will review in general applications of the LLR algorithm to systems affected by a strong sign problem and discuss the case of the Bose gas at finite chemical potential.
published_date	2022-03-01T20:12:59Z
_version_	1821347130931937280
score	11.04748

Efficient computations of continuous action densities of states for lattice models

Similar Items