Boundary conditions for quantum lattice systems

Autor(en): Fannes, M
Werner, RF
Stichwörter: CORRELATION INEQUALITIES; Physics; Physics, Multidisciplinary; STATES
Erscheinungsdatum: 1995
Herausgeber: BIRKHAUSER VERLAG AG
Journal: HELVETICA PHYSICA ACTA
Volumen: 68
Ausgabe: 7-8
Startseite: 635
Seitenende: 657
Zusammenfassung: 
For classical lattice systems, the Dobrushin-Lanford-Ruelle theory of boundary conditions states that the restriction of a global equilibrium state to a subsystem can be obtained as an integral over equilibrium states of the subsystem alone. The Hamiltonians for the subsystem are obtained by fixing a configuration for the variables in the complement of the subsystem, or more generally, by evaluating the full interaction Hamiltonian with respect to a state for the complement. We provide examples showing that the quantum mechanical version of this statement is false. It fails even if the subsystem is classical, but embedded into a quantum environment. We suggest an alternative characterization of the local restrictions of global equilibrium states by inequalities involving only local data.
ISSN: 00180238

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