Dissipative quantum disordered models

TL;DR

This review explores quantum disordered spin systems with dissipation, focusing on their dynamics, phase transitions, Griffiths phases, and environmental effects, using analytic and numeric methods to compare quantum and classical behaviors.

Contribution

It provides a comprehensive overview of recent advances in understanding dissipative quantum disordered models, highlighting phase transition types and environmental influences.

Findings

Quantum glassy phase dynamics differ from classical predictions.

Phase transition nature varies with temperature and quantum criticality.

Environmental coupling significantly affects static and dynamic properties.

Abstract

This article reviews recent studies of mean-field and one dimensional quantum disordered spin systems coupled to different types of dissipative environments. The main issues discussed are: (i) The real-time dynamics in the glassy phase and how they compare to the behaviour of the same models in their classical limit. (ii) The phase transition separating the ordered -- glassy -- phase from the disordered phase that, for some long-range interactions, is of second order at high temperatures and of first order close to the quantum critical point (similarly to what has been observed in random dipolar magnets). (iii) The static properties of the Griffiths phase in random Ising chains. (iv) The dependence of all these properties on the environment. The analytic and numeric techniques used to derive these results are briefly mentioned.