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Perturbation theory of KMS states

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arxiv 1902.05734 v1 pith:QE55AFRG submitted 2019-02-15 math-ph math.MPmath.OA

Perturbation theory of KMS states

classification math-ph math.MPmath.OA
keywords statesperturbationdynamicalequilibriumextendformulageneralhastings
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We extend the new perturbation formula of equilibrium states by Hastings to KMS states of general $W^*$-dynamical systems.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Kubo-Martin-Schwinger conditions for non-Hermitian systems

    quant-ph 2026-06 unverdicted novelty 7.0

    Positivity of the biorthogonal Gibbs functional characterizes quasi-Hermiticity for diagonalisable non-Hermitian operators with real spectra, and the resulting state satisfies the three analytic KMS conditions.

  2. Kubo-Martin-Schwinger conditions for non-Hermitian systems

    quant-ph 2026-06 unverdicted novelty 7.0

    For any diagonalisable non-Hermitian H with real spectrum, the biorthogonal Gibbs functional satisfies positivity of ω_bi(A†A) for all A if and only if H is quasi-Hermitian.