Dissipative quantum disordered models

Details Dissipative quantum disordered models Dissipative quantum disordered models

2004-12-02

arxiv.org/abs/cond-mat/0412043v1

Int. J. Mod. Phys. B 20, 2795 (2006).

Physics

Condensed Matter

Disordered Systems and Neural Networks

Contribution to the 12th International Conference on Recent Progress in Many-Body Theories, Santa Fe, New Mexico, USA, August

Scientific paper

10.1142/S0217979206035308

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.

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