Slow Relaxation and Diffusion in Holographic Quantum Critical Phases - Archive ouverte HAL
Article Dans Une Revue Physical Review Letters Année : 2019

Slow Relaxation and Diffusion in Holographic Quantum Critical Phases

Richard Davison
  • Fonction : Auteur
Simon Gentle
  • Fonction : Auteur
Blaise Goutéraux

Résumé

The dissipative dynamics of strongly interacting systems are often characterised by the timescale set by the inverse temperature $τ_P\sim\hbar/(k_BT)$. We show that near a class of strongly interacting quantum critical points that arise in the infra-red limit of translationally invariant holographic theories, there is a collective excitation (a quasinormal mode of the dual black hole spacetime) whose lifetime $τ_{eq}$ is parametrically longer than $τ_P$: $τ_{eq}\gg T^{-1}$. The lifetime is enhanced due to its dependence on a dangerously irrelevant coupling that breaks the particle-hole symmetry and the invariance under Lorentz boosts of the quantum critical point. The thermal diffusivity (in units of the butterfly velocity) is anomalously large near the quantum critical point and is governed by $τ_{eq}$ rather than $τ_P$. We conjecture that there exists a long-lived, propagating collective mode with velocity $v_s$, and in this case the relation $D=v_s^2τ_{eq}$ holds exactly in the limit $Tτ_{eq}\gg1$. While scale invariance is broken, a generalised scaling theory still holds provided that the dependence of observables on the dangerously irrelevant coupling is incorporated. Our work further underlines the connection between dangerously irrelevant deformations and slow equilibration.

Dates et versions

hal-04447996 , version 1 (08-02-2024)

Identifiants

Citer

Richard Davison, Simon Gentle, Blaise Goutéraux. Slow Relaxation and Diffusion in Holographic Quantum Critical Phases. Physical Review Letters, 2019, 123 (14), pp.141601. ⟨10.1103/PhysRevLett.123.141601⟩. ⟨hal-04447996⟩
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