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 condition in 1957, Paul C. Martin [de] and Julian Schwinger used it in 19… See more
OverviewThe simplest case to study is that of a finite-dimensional Hilbert space, in which one does not encounter complications … See more
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- The KMS boundary condition is an abstract equilibrium condition for quantum statis-tical mechanics. If ρ is a state and A, B are two observables and αt(A) is the observable into which A evolves in time t, the condition is supposed to characterize the equilibrium states at temperature T = β−1.Learn more:The KMS boundary condition is an abstract equilibrium condition for quantum statis-tical mechanics. If ρ is a state and A, B are two observables and αt(A) is the observable into which A evolves in time t, the condition is supposed to characterize the equilibrium states at temperature T = β−1.ipparco.roma1.infn.it/pagine/deposito/1967-1979/04…The Kubo-Martin-Schwinger (KMS) condition is a kind of boundary-value condition which naturally emerges in quantum statistical mechanics and related areas.mathworld.wolfram.com/KMSCondition.htmlIn 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.en.wikipedia.org/wiki/KMS_state
KMS Condition -- from Wolfram MathWorld
Nov 18, 2024 · The Kubo-Martin-Schwinger (KMS) condition is a kind of boundary-value condition which naturally emerges in quantum statistical mechanics and related areas.
Imposing boundary conditions on the walls of the box gives us the Hamilton operator H. In this context, a general state is described by a positive operator with tr = 1 called the density matrix. …
KMS States and Thermal States - Physics Stack Exchange
Jan 29, 2018 · In this situation, a state ω: A → C ω: A → C is called a KMS-state at inverse temperature β β with respect to αt α t if the following two conditions are satisfied: this function …
In this paper we shall show that, for an invariant state satisfying the KMS boundary condition, a decomposition into extremal invariant states is possible and yields exclusively states satisfying …
They are called Kubo-Martin-Schwinger (KMS) boundary conditions. It is a simple exercise in linear algebra to show that the Gibbs state ω β is the only state on B(H) satisfying the KMS …
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In C*-algebraic terms, the group of automorphisms of A commuting with and preserving a KMS -state changes as varies. Typically the symmetry group gets smaller as temperature decreases.
The KMS boundary condition is an abstract equilibrium condition for quantum statis-tical mechanics. If ρ is a state and A, B are two observables and αt(A) is the observable into which …
The following theorem shows that a KMS state passes the simplest test for an equilibrium state: it is invariant under time evolution. Mathematically, this is also useful as it implies the
The KMS boundary condition is an abstract equilibrium condition for quantum statistical mechanics. If ~ is a state and A, B are two observables and ~t(A) is the observable into which …
a strong link between classical and quantum KMS conditions so that it leads to the exchange of the thermodynamic and the classical limits for in nite dynamical systems and to the …
For quantum systems, under suitable conditions on the way one performs the thermodynamic limit on the finite volume correlation functions and the dynamics, one obtains the well-known KMS …
The state ω on Sϋΐ satisfies the KMS-condition at inverse tem-perature β= 1/kT if for any pair (x, y) of 9Jt, there exists a complex function F Xty {z), defined, bounded and continuous on the strip …
High temperature convergence of the KMS boundary conditions: …
Apr 19, 2019 · In the present article, we prove that in a certain limiting regime of high temperature the classical KMS condition can be derived from the quantum condition in the simple case of …
High temperature convergence of the KMS boundary conditions: …
Jul 14, 2020 · In this paper, we prove that in a certain limiting regime of high temperature the classical KMS condition can be derived from the quantum condition in the simple case of the …
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High temperature convergence of the KMS boundary conditions: …
Apr 19, 2019 · In this paper, we prove that in a certain limiting regime of high temperature the classical KMS condition can be derived from the quantum condition in the simple case of the …
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