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

Malcolm P. Kennett·Claudio Chamon
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Abstract

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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Malcolm P. Kennett, Claudio Chamon. 2000-09-07. Time reparametrization group and the long time behaviour in quantum glassy systems. https://doi.org/10.1103/physrevlett.86.1622

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