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KMS quantum symmetric states | | Ken Dykema
; Kunal Mukherjee
; | | Date: |
5 Sep 2016 | | Abstract: | Let $A$ be a unital C$^*$-algebra and let $sigma$ be a one-parameter
automorphism group of $A$. We consider $operatorname{QSS}_sigma(A)$, the set
of all quantum symmetric states on $*_1^infty A$ that are also KMS states (for
a fixed inverse temperature, for specificity taken to be $-1$) for the free
product automorphism group $*_1^inftysigma$. We characterize the elements of
$operatorname{QSS}_sigma(A)$, we show that $operatorname{QSS}_sigma(A)$ is
a Choquet simplex whenever it is nonempty and we characterize its extreme
points. | | Source: | arXiv, 1609.1225 | | Services: | Forum | Review | PDF | Favorites | |
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