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KMS state - Wikipedia
In the statistical mechanics of quantum mechanical systems and quantum field theory, the properties of a system in thermal equilibrium can be described by a mathematical object called a Kubo–Martin–Schwinger (KMS) state: a state satisfying the KMS condition. Ryogo Kubo introduced the … See more
The simplest case to study is that of a finite-dimensional Hilbert space, in which one does not encounter complications like phase transitions or spontaneous symmetry breaking. … See more
Wikipedia text under CC-BY-SA license KMS States and Thermal States - Physics Stack Exchange
Jan 29, 2018 · If you consider KMS states (maybe not for water but for model systems like quantum spin systems or free particles Fermions or Bosons, the latter having a Bose-Einstein …
Learn about KMS states, a class of states for C*-dynamical systems that satisfy a Kubo-Martin-Schwinger condition. Find definitions, properties, examples, and applications of KMS states in …
KMS States - SpringerLink
- The spectral presheaf \(\breve{\underline{\varSigma}}:=p!\circ I(\underline{\varSigma})\)is defined on 1. (i) Objects: for each \(V\in \mathcal{V}_{f}(\mathcal{N})\) we have $$ \breve{\underline{\varSigma}}_V:=\coprod_{[g]_V\in H/H_{FV}}\underline{\varSigma}(l_gV)\simeq \coprod_{\alpha\in \mathrm {Aut}_{\mathit {fth}}(V, \mathcal{N})}\underline{\va...
KMS state in nLab - ncatlab.org
Feb 8, 2020 · A KMS state (named after Kubo 57, Martin-Schwinger 59) is a vacuum state for a relativistic quantum field theory describing thermal equilibrium at some positive temperature T …
Learn about KMS states, which are equilibrium states at inverse temperature for C*-algebras and their dynamics. See examples of finite quantum systems, free energy, and KMS condition.
KMS States, Entropy and the Variational Principle¶in Full C
KMS states correspond to positive eigenvectors of s. A Perron–Frobenius type theorem asserts the existence of KMS states at inverse temperatures equals the logarithms of the inner and …
This paper explores the topos formulation of quantum theory and its relation to the KMS state, a key concept in statistical mechanics. It defines and illustrates the topos analogues of the KMS …
Euclidean field theory in nLab - ncatlab.org
Nov 6, 2024 · The use of a “periodic Euclidean time coordinate” is also known as Matsubara formalism (e.g. Landsman-vanWert 87, section 2.3.1) and specifically the condition that the …
KMS state - chemeurope.com
The statistical mechanics of quantum field theory (see thermal quantum field theory) at the inverse temperature β and chemical potential μ can be characterized by a condition called the KMS …
This paper explores the relation between Hausdorff measures and KMS states on C*-algebras associated to compact metric spaces and local homeomorphisms. It applies groupoid methods …
The KMS states are formal generalizations of the canonical Gibbs states for infinite systems and it is not obvious whether they possess properties attributing to equilibrium states.
[1306.6519] Construction of KMS States in Perturbative QFT and ...
Jun 27, 2013 · We present a general construction of KMS states in the framework of perturbative algebraic quantum field theory (pAQFT). Our approach may be understood as an extension of …
KMS-States - SpringerLink
Principally, we investigate the Kubo—Martin—Schwinger, or KMS, condition briefly outlined in the Introduction and used in the calculation of the Gibbs states of the ideal Fermi and Bose gases. …
A ,-KMS state at value ß = -I is called a r-KMS state. This definition has several immediate consequences. The value ß = 0 is distinct from the other values. In this case Definition 5.3.1 …
The bundle of KMS state spaces for flows on a unital C*-algebra
Sep 14, 2021 · It is shown that any bundle of KMS state spaces which can occur for a flow on a unital separable C*-algebra with a trace state can also be realized by a flow on any given …
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