Pre-asymptotic dynamics of the infinite size Neumann (p=2 spherical) model

Abstract

In this contribution we further study the classical disordered p=2 spherical model with Hamiltonian dynamics, or in integrable systems terms, the Neumann model, in the infinite size limit. We summarise the asymptotic results that some of us presented in a recent publication, and we deepen the analysis of the pre-asymptotic dynamics. We also discuss the possible description of the asymptotic steady state with a Generalised Gibbs Ensemble.

arXiv commentSubmitted to the J. Phys. A special volume: "Disordered serendipity: a glassy path to discovery" (workshop in honour of Giorgio Parisi's 70th birthday, Roma 2018)

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Cited by in corpus (7)

• Thermalization without chaos in harmonic systems
• Quantum dynamics far from equilibrium: a case study in the spherical model
• Limitations of the Markovian approximation in the harmonic oscillator
• Entanglement in the Quantum Spherical Model -- a Review
• Entanglement gap in 1D long-range quantum spherical models
• Generalised Gibbs Ensemble for spherically constrained harmonic models
• Non-equilibrium dynamics of the open quantum $O(n)$-model with non-Markovian noise: exact results