Physics – Condensed Matter
Scientific paper
2001-03-06
Physics
Condensed Matter
REVTeX, 6 pages, 3 eps figures
Scientific paper
10.1103/PhysRevB.63.245112
We study the dynamical properties of the Mermin model, a simple quantum dissipative model with a monochromatic environment, using analytical and numerical methods. Our numerical results show that the model exhibits a second order phase transition to a localized state before which the system is effectively decoupled from the environment. In contrast to the spin-boson model, the Mermin model exhibits an ``orthogonality catastrophe,'' defining the critical point, before dissipation has destroyed all coherent behavior. An analytic approach based on the Liouvillian technique, though successful in describing the phase diagram of spin-boson and related models, fails to capture this essential feature of the Mermin model.
Levine Gregory
Muthukumar V. N.
No associations
LandOfFree
Localization transition in the Mermin model 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 Localization transition in the Mermin model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Localization transition in the Mermin model will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-431244