5 papers · 1 filter
Global dynamical stability for KMS-states
Heide Narnhofer
The Hugenholz-Boltzmann-evolution is generalized to strongly interacting systems on the lattice. Under appropriate assumptions states stable under this evolution are shown to satif…
D-grading and quasifree evolution
Heide Narnhofer
Generalizing the relation between spin-systems and Fermi-systems on the lattice we construct for a spin-system with dimension d an algebra for which quasifree time-evolutions exist…
Continuous extension of the discrete shift translations on one-dimensional quantum lattice systems
Hajime Moriya, Heide Narnhofer
We study the continuous extension of discrete shift translations on one-dimensional quantum lattice systems.
Interacting Fermi systems in the tracial state
Heide Narnhofer
We argue that for Fermi systems on lattices or the continuum with interaction invariant under a kind of Galilei transformation the time evolution is either weakly asymptotically ab…
Asymptotics for automorphisms of quantum systems on the lattice
Heide Narnhofer
We study the behaviour of continuous automorphism groups of quantum spin systems on the lattice. Whereas the shift is norm asymptotically abelian continuous automorphism groups can…