Boundary conditions for quantum lattice systems
| dc.creator | Fannes, M. | |
| dc.creator | Werner, R. F. | |
| dc.date | 1995-04-24 | |
| dc.date.accessioned | 2026-07-07T03:07:41Z | |
| dc.date.available | 2026-07-07T03:07:41Z | |
| dc.description | 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. | |
| dc.description | plain TeX, 26 pages, 5 figures in separate compressed .ps file. full postscript version from: ftp://ftp.physik.uni-osnabrueck.de/pub/werner/BoundaryConds/bcq.ps | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9504090 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9504090 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/27260 | |
| dc.subject | Condensed Matter | |
| dc.subject | Quantum Physics | |
| dc.title | Boundary conditions for quantum lattice systems | |
| dc.type | text |