Quantum dynamics far from equilibrium: a case study in the spherical model

Abstract

The application of quantum Langevin equations for the study of non-equilibrium relaxations is illustrated in the exactly solved quantum spherical model. Tutorial sections on the physical background of non-markovian quantum noise, the spherical model quantum phase transition, the long-time limit of the quantum Langevin equation of the spherical model and physical ageing are followed by a brief review of the solution of the non-markovian time-dependent spherical constraint and about the consequences for quantum ageing at zero temperature, after a quantum quench.

1+17 pp, 6 figures. Conference proceedings of LT-14, based on arXiv:1809.08975 and arXiv:2106.08237

References in corpus (4)

• Fundamental Aspects of Quantum Brownian Motion
• Local scale-invariance and ageing in noisy systems
• Universal post-quench prethermalization at a quantum critical point
• Driven quantum coarsening

Cited by in corpus (2)

• Entanglement in the Quantum Spherical Model -- a Review
• Entanglement gap in 1D long-range quantum spherical models