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Slow Relaxation and Diffusion in Holographic Quantum Critical Phases
Stockholm University, Nordic Institute for Theoretical Physics (Nordita).
Number of Authors: 32019 (English)In: Physical Review Letters, ISSN 0031-9007, E-ISSN 1079-7114, Vol. 123, no 14, article id 141601Article in journal (Refereed) Published
Abstract [en]

The dissipative dynamics of strongly interacting systems are often characterized by the timescale set by the inverse temperature tau(p) similar to h/(k(B)T). We show that near a class of strongly interacting quantum critical points that arise in the infrared limit of translationally invariant holographic theories, there is a collective excitation (a quasinormal mode of the dual black hole spacetime) whose lifetime tau(eq) is parametrically longer than tau(p): tau(eq) >> 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 tau(eq) rather than tau(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)(2)tau(eq) holds exactly in the limit T tau(eq) >> 1. While scale invariance is broken, a generalized 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.

Place, publisher, year, edition, pages
2019. Vol. 123, no 14, article id 141601
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:su:diva-175821DOI: 10.1103/PhysRevLett.123.141601ISI: 000489041300003OAI: oai:DiVA.org:su-175821DiVA, id: diva2:1371641
Available from: 2019-11-20 Created: 2019-11-20 Last updated: 2019-11-20Bibliographically approved

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