Equilibria when the temperature goes to zero

Klaus Thomsen

doi:10.1063/5.0174058

Equilibria when the temperature goes to zero

^*Corresponding author for this work

Department of Mathematics

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2 Citations (Scopus)

Abstract

We present methods to construct flows with varying set of KMS_∞ states on a given simple unital AF-algebra. It follows, for example, that for any pair D₊ and D₋ of non-empty compact metric spaces there is a flow σ = ( σ t ) t ∈ R on the CAR algebra whose set of KMS_∞ states is homeomorphic to D₊ while the set of KMS_∞ states for the inverted flow ( σ − t ) t ∈ R is homeomorphic to D₋. Remarkably the flows that realize all such pairs D_± can be chosen to have isomorphic KMS bundles.

Original language	English
Article number	121701
Journal	Journal of Mathematical Physics
Volume	64
Issue	12
Number of pages	27
ISSN	0022-2488
DOIs	https://doi.org/10.1063/5.0174058
Publication status	Published - Dec 2023

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10.1063/5.0174058

https://arxiv.org/pdf/2301.08080

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Equilibria when the temperature goes to zero

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