Topological description of pure invariant states of the Weyl C-algebra

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dc.catalogadorgjm
dc.contributor.authorDe Nittis, Giuseppe
dc.contributor.authorGonzález Rendel, Santiago
dc.date.accessioned2025-07-25T17:18:48Z
dc.date.available2025-07-25T17:18:48Z
dc.date.issued2025
dc.description.abstractIn this work we study the topology of certain families of states of the Weyl $C^*$-algebra with finite degrees of freedom. We focus on families of pure states characterized by symmetries and a (semi-)regularity condition, and obtain precise topological descriptions through homeomorphisms with other explicit spaces. Of special importance are the families of pure, semi-regular states invariant under either continuous (plane-wave states) or discrete (Bloch-wave states) spatial translations, and the family of states invariant under discrete, mutually commuting spatial and momentum translations (Zak-wave states), all of which we completely characterize.
dc.format.extent39 páginas
dc.fuente.origenORCID
dc.identifier.doi10.48550/ARXIV.2503.04938
dc.identifier.urihttps://doi.org/10.48550/ARXIV.2503.04938
dc.identifier.urihttps://arxiv.org/abs/2503.04938
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/105033
dc.information.autorucFacultad de Matemáticas; De Nittis, Giuseppe; 0000-0001-6066-8625; 1019873
dc.information.autorucFacultad de Matemáticas; González Rendel, Santiago; S/I; 1064525
dc.language.isoen
dc.nota.accesocontenido parcial
dc.revistaarXiv
dc.rightsacceso restringido
dc.subjectWeyl C*-algebra
dc.subjectPure invariant states
dc.subjectTopological phases
dc.subjectClassification of states
dc.subject.ddc510
dc.subject.deweyMatemática física y químicaes_ES
dc.titleTopological description of pure invariant states of the Weyl C-algebra
dc.typepreprint
sipa.codpersvinculados1019873
sipa.codpersvinculados1064525
sipa.trazabilidadORCID;2025-07-21
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