TL;DR
This paper introduces a method to construct automorphisms on the CAR algebra that have a specified family of equilibrium states, advancing the understanding of phase transitions in quantum statistical mechanics.
Contribution
It provides a novel construction technique for automorphisms with prescribed KMS states on the CAR algebra, linking algebraic structures to phase transition phenomena.
Findings
Constructed one-parameter automorphism groups with desired KMS states
Established a connection between automorphisms and phase transitions in quantum systems
Enhanced the mathematical framework for analyzing quantum phase behavior
Abstract
The paper develops a method to construct one-parameter groups of automorphisms on the CAR C*-algebra with a prescribed field of KMS states.
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