Some topics in quantum disordered systems

We discuss some recent results connected with the properties of temperature states of quantum disordered systems. This analysis falls within the natural framework of operator algebras. Among the results quoted here, we recall some ergodic and spectral properties of KMS states, the possibility of def...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Hauptverfasser: Barreto, Stephen Dias, Fidaleo, Francesco
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext bestellen
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page
container_issue
container_start_page
container_title
container_volume
creator Barreto, Stephen Dias
Fidaleo, Francesco
description We discuss some recent results connected with the properties of temperature states of quantum disordered systems. This analysis falls within the natural framework of operator algebras. Among the results quoted here, we recall some ergodic and spectral properties of KMS states, the possibility of defining the chemical potential independently of the disorder, and finally the question of the Gibbsianess for KMS states. This analysis can be considered as a step towards fully understanding the very complicated structure of the set of temperature states of quantum spin glasses, and its connection with the breakdown of the symmetry for replicas.
doi_str_mv 10.48550/arxiv.math/0501121
format Article
fullrecord <record><control><sourceid>arxiv_GOX</sourceid><recordid>TN_cdi_arxiv_primary_math_0501121</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>math_0501121</sourcerecordid><originalsourceid>FETCH-LOGICAL-a711-8e2b813cef76ecd340acff7da39d23fb96e080f3eaed76292702df09ca5056793</originalsourceid><addsrcrecordid>eNotzrFuwjAUQFEvDFXoF3RxR4bAs43jeESopZWQGGCPHvazagknYIeq_H1Fy3S3q8PYi4D5stUaFph_4vc84fi1AA1CSPHEZvshER-Hc3SFx55frtiP18R9LEP2lMnzcisjpTJlk4CnQs-PVuzw_nZYf9Tb3eZzvdrWaISoW5LHVihHwTTkvFoCuhCMR2W9VOFoG4IWgiIkbxpppQHpA1iHGnRjrKrY6__2T9udc0yYb91d3T3U6hcNhz6a</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Some topics in quantum disordered systems</title><source>arXiv.org</source><creator>Barreto, Stephen Dias ; Fidaleo, Francesco</creator><creatorcontrib>Barreto, Stephen Dias ; Fidaleo, Francesco</creatorcontrib><description>We discuss some recent results connected with the properties of temperature states of quantum disordered systems. This analysis falls within the natural framework of operator algebras. Among the results quoted here, we recall some ergodic and spectral properties of KMS states, the possibility of defining the chemical potential independently of the disorder, and finally the question of the Gibbsianess for KMS states. This analysis can be considered as a step towards fully understanding the very complicated structure of the set of temperature states of quantum spin glasses, and its connection with the breakdown of the symmetry for replicas.</description><identifier>DOI: 10.48550/arxiv.math/0501121</identifier><language>eng</language><subject>Mathematics - Mathematical Physics ; Mathematics - Operator Algebras ; Physics - Mathematical Physics</subject><creationdate>2005-01</creationdate><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,881</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/math/0501121$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.math/0501121$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Barreto, Stephen Dias</creatorcontrib><creatorcontrib>Fidaleo, Francesco</creatorcontrib><title>Some topics in quantum disordered systems</title><description>We discuss some recent results connected with the properties of temperature states of quantum disordered systems. This analysis falls within the natural framework of operator algebras. Among the results quoted here, we recall some ergodic and spectral properties of KMS states, the possibility of defining the chemical potential independently of the disorder, and finally the question of the Gibbsianess for KMS states. This analysis can be considered as a step towards fully understanding the very complicated structure of the set of temperature states of quantum spin glasses, and its connection with the breakdown of the symmetry for replicas.</description><subject>Mathematics - Mathematical Physics</subject><subject>Mathematics - Operator Algebras</subject><subject>Physics - Mathematical Physics</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2005</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotzrFuwjAUQFEvDFXoF3RxR4bAs43jeESopZWQGGCPHvazagknYIeq_H1Fy3S3q8PYi4D5stUaFph_4vc84fi1AA1CSPHEZvshER-Hc3SFx55frtiP18R9LEP2lMnzcisjpTJlk4CnQs-PVuzw_nZYf9Tb3eZzvdrWaISoW5LHVihHwTTkvFoCuhCMR2W9VOFoG4IWgiIkbxpppQHpA1iHGnRjrKrY6__2T9udc0yYb91d3T3U6hcNhz6a</recordid><startdate>20050109</startdate><enddate>20050109</enddate><creator>Barreto, Stephen Dias</creator><creator>Fidaleo, Francesco</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20050109</creationdate><title>Some topics in quantum disordered systems</title><author>Barreto, Stephen Dias ; Fidaleo, Francesco</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a711-8e2b813cef76ecd340acff7da39d23fb96e080f3eaed76292702df09ca5056793</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2005</creationdate><topic>Mathematics - Mathematical Physics</topic><topic>Mathematics - Operator Algebras</topic><topic>Physics - Mathematical Physics</topic><toplevel>online_resources</toplevel><creatorcontrib>Barreto, Stephen Dias</creatorcontrib><creatorcontrib>Fidaleo, Francesco</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Barreto, Stephen Dias</au><au>Fidaleo, Francesco</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Some topics in quantum disordered systems</atitle><date>2005-01-09</date><risdate>2005</risdate><abstract>We discuss some recent results connected with the properties of temperature states of quantum disordered systems. This analysis falls within the natural framework of operator algebras. Among the results quoted here, we recall some ergodic and spectral properties of KMS states, the possibility of defining the chemical potential independently of the disorder, and finally the question of the Gibbsianess for KMS states. This analysis can be considered as a step towards fully understanding the very complicated structure of the set of temperature states of quantum spin glasses, and its connection with the breakdown of the symmetry for replicas.</abstract><doi>10.48550/arxiv.math/0501121</doi><oa>free_for_read</oa></addata></record>
fulltext fulltext_linktorsrc
identifier DOI: 10.48550/arxiv.math/0501121
ispartof
issn
language eng
recordid cdi_arxiv_primary_math_0501121
source arXiv.org
subjects Mathematics - Mathematical Physics
Mathematics - Operator Algebras
Physics - Mathematical Physics
title Some topics in quantum disordered systems
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-31T14%3A16%3A48IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-arxiv_GOX&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Some%20topics%20in%20quantum%20disordered%20systems&rft.au=Barreto,%20Stephen%20Dias&rft.date=2005-01-09&rft_id=info:doi/10.48550/arxiv.math/0501121&rft_dat=%3Carxiv_GOX%3Emath_0501121%3C/arxiv_GOX%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rfr_iscdi=true