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Thermalization in different phases of charged SYK model

2020/04/30 by Tousik Samui, Nilakash Sorokhaibam · 1 citation
Materials Science · Physics and Astronomy · #Material Dynamics and Properties #Non-equilibrium thermodynamics #Phase (matter) #Phase transition #Settling #Statistical Mechanics and Entropy #Steady state (chemistry) #Syk #Theoretical and Computational Physics #Thermalisation #cond-mat.stat-mech #hep-th

paper · pdf · doi:10.1007/jhep04(2021)157

Published version with minor changes and corrections

openalex created_date 2020/11/23 · openalex publication_date 2021/04/01 · arxiv created 2021/05/16 · arxiv updated 2021/05/18 · openalex updated_date 2026/08/05

Abstract

A bstract We study thermalization of charged SYK model in two different phases. We show that both the highly chaotic liquid phase and the dilute gas phase thermalize. Surprisingly the dilute gas state thermalizes instantaneously. We argue that this phenomenon arises because the system in this phase consists of only long-lived quasi-particles at very low density. The liquid state thermalizes exponentially fast. We also show that the additional introduction of random mass deformation ( q = 2 SYK term) slows down thermalization but the system thermalizes exponentially fast. This is observed despite the fact that the addition of large q = 2 SYK interaction forces spectral statistics to obey Poisson statistics. An interesting new observation is that the effective temperature is non-monotonic during thermalization in the liquid state. It has a bump at relatively long time before settling down to the final value. With non-zero chemical potential, the effective temperature oscillates noticeably before settling down to the final value.

Citations

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