Boundary conditions for quantum lattice systems

Details Boundary conditions for quantum lattice systems Boundary conditions for quantum lattice systems

1995-04-24

arxiv.org/abs/cond-mat/9504090v1

Physics

Condensed Matter

plain TeX, 26 pages, 5 figures in separate compressed .ps file. full postscript version from: ftp://ftp.physik.uni-osnabruec

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Boundary conditions for quantum lattice systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Boundary conditions for quantum lattice systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Boundary conditions for quantum lattice systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-612062