Localization transition in the Mermin model

Abstract

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.

REVTeX, 6 pages, 3 eps figures

References in corpus (2)

• Dynamical simulation of current fluctuations in a dissipative two-state system
• Linear and nonlinear susceptibilities of a decoherent two-level system

Cited by in corpus (2)

• Entanglement of a qubit with a single oscillator mode
• Density of states and quantum phase transition in the thermodynamic limit of the Mermin central-spin model