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Slow Relaxation and Diffusion in Holographic Quantum Critical Phases
Harvard Univ, Dept Phys, Cambridge, MA 02138 USA.;Univ Cambridge, Dept Appl Math & Theoret Phys, Cambridge CB3 0WA, England..
Univ Utrecht, Inst Theoret Phys, NL-3508 TD Utrecht, Netherlands.;Leiden Univ, Inst Lorentz Theoret Phys, NL-2333 CA Leiden, Netherlands..
KTH, Centres, Nordic Institute for Theoretical Physics NORDITA. Stockholm Univ, Roslagstullsbacken 23, SE-10691 Stockholm, Sweden..ORCID iD: 0000-0001-8440-4720
2019 (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
AMER PHYSICAL SOC , 2019. Vol. 123, no 14, article id 141601
National Category
Atom and Molecular Physics and Optics
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URN: urn:nbn:se:kth:diva-262951DOI: 10.1103/PhysRevLett.123.141601ISI: 000489041300003PubMedID: 31702178Scopus ID: 2-s2.0-85073050117OAI: oai:DiVA.org:kth-262951DiVA, id: diva2:1374988
Note

QC 20191203

Available from: 2019-12-03 Created: 2019-12-03 Last updated: 2020-03-09Bibliographically approved

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Goutéraux, Blaise

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