Time reparametrization group and the long time behaviour in quantum glassy systems

Details Time reparametrization group and the long time behaviour in quantum glassy systems Time reparametrization group and the long time behaviour in quantum glassy systems

2000-09-07

arxiv.org/abs/cond-mat/0009099v1

Phys. Rev. Lett. 86, 1622 (2001).

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages

Scientific paper

10.1103/PhysRevLett.86.1622

We study the long time dynamics of a quantum version of the Sherrington-Kirkpatrick model. Time reparametrizations of the dynamical equations have a parallel with renormalization group transformations, and within this language the long time behaviour of this model is controlled by a reparametrization group (R$_p$G) fixed point of the classical dynamics. The irrelevance of the quantum terms in the dynamical equations in the aging regime explains the classical nature of the violation of the fluctuation-dissipation theorem.

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