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

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.

4 pages

References in corpus (3)

• Infinite-randomness quantum Ising critical fixed points
• Mean-Field Theory of a Quantum Heisenberg Spin Glass
• Schwinger-Keldysh semionic approach for quantum spin systems

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• Dissipative effects on quantum glassy systems
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• Fluctuations in the coarsening dynamics of the O(N) model: are they similar to those in glassy systems?
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• Theory of Microemulsion Glasses
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• A Dynamical Study of the Quantum p=2 Spherical Model
• Driven quantum coarsening
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• The out of equilibrium dynamics of the Sherrington-Kirkpatrick model
• Local overlaps, heterogeneities and the local fluctuation dissipation relations
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• Coarsening of Disordered Quantum Rotors under a Bias Voltage
• Slow nonequilibrium dynamics: parallels between classical and quantum glasses and gently driven systems