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Zonal Estimators for Quasiperiodic Bosonic Many-Body Phases
In this work, we explore the relevant methodology for the investigation of interacting systems with contact interactions, and we introduce a class of zonal estimators for path-integral Monte Carlo methods, designed to provide physical information about limited regions of inhomogeneous systems. We de...
Autores principales: | , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
MDPI
2022
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8871071/ https://www.ncbi.nlm.nih.gov/pubmed/35205559 http://dx.doi.org/10.3390/e24020265 |
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author | Ciardi, Matteo Macrì, Tommaso Cinti, Fabio |
author_facet | Ciardi, Matteo Macrì, Tommaso Cinti, Fabio |
author_sort | Ciardi, Matteo |
collection | PubMed |
description | In this work, we explore the relevant methodology for the investigation of interacting systems with contact interactions, and we introduce a class of zonal estimators for path-integral Monte Carlo methods, designed to provide physical information about limited regions of inhomogeneous systems. We demonstrate the usefulness of zonal estimators by their application to a system of trapped bosons in a quasiperiodic potential in two dimensions, focusing on finite temperature properties across a wide range of values of the potential. Finally, we comment on the generalization of such estimators to local fluctuations of the particle numbers and to magnetic ordering in multi-component systems, spin systems, and systems with nonlocal interactions. |
format | Online Article Text |
id | pubmed-8871071 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2022 |
publisher | MDPI |
record_format | MEDLINE/PubMed |
spelling | pubmed-88710712022-02-25 Zonal Estimators for Quasiperiodic Bosonic Many-Body Phases Ciardi, Matteo Macrì, Tommaso Cinti, Fabio Entropy (Basel) Article In this work, we explore the relevant methodology for the investigation of interacting systems with contact interactions, and we introduce a class of zonal estimators for path-integral Monte Carlo methods, designed to provide physical information about limited regions of inhomogeneous systems. We demonstrate the usefulness of zonal estimators by their application to a system of trapped bosons in a quasiperiodic potential in two dimensions, focusing on finite temperature properties across a wide range of values of the potential. Finally, we comment on the generalization of such estimators to local fluctuations of the particle numbers and to magnetic ordering in multi-component systems, spin systems, and systems with nonlocal interactions. MDPI 2022-02-12 /pmc/articles/PMC8871071/ /pubmed/35205559 http://dx.doi.org/10.3390/e24020265 Text en © 2022 by the authors. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). |
spellingShingle | Article Ciardi, Matteo Macrì, Tommaso Cinti, Fabio Zonal Estimators for Quasiperiodic Bosonic Many-Body Phases |
title | Zonal Estimators for Quasiperiodic Bosonic Many-Body Phases |
title_full | Zonal Estimators for Quasiperiodic Bosonic Many-Body Phases |
title_fullStr | Zonal Estimators for Quasiperiodic Bosonic Many-Body Phases |
title_full_unstemmed | Zonal Estimators for Quasiperiodic Bosonic Many-Body Phases |
title_short | Zonal Estimators for Quasiperiodic Bosonic Many-Body Phases |
title_sort | zonal estimators for quasiperiodic bosonic many-body phases |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8871071/ https://www.ncbi.nlm.nih.gov/pubmed/35205559 http://dx.doi.org/10.3390/e24020265 |
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