Hydrodynamic Diffusion and Its Breakdown near AdS_{2} Quantum Critical Points

Hydrodynamic Diffusion and Its Breakdown near AdS_{2} Quantum Critical Points

Hydrodynamics provides a universal description of interacting quantum field theories at sufficiently long times and wavelengths, but breaks down at scales dependent on microscopic details of the theory. In the vicinity of a quantum critical point, it is expected that some aspects of the dynamics are...

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Autores principales: Daniel Areán, Richard A. Davison, Blaise Goutéraux, Kenta Suzuki
Formato: article
Lenguaje:EN
Publicado: American Physical Society 2021
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Physics
QC1-999
Acceso en línea:https://doaj.org/article/6424f27d4706432594a7a1547b394bef
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spelling oai:doaj.org-article:6424f27d4706432594a7a1547b394bef2021-12-02T16:58:05ZHydrodynamic Diffusion and Its Breakdown near AdS_{2} Quantum Critical Points10.1103/PhysRevX.11.0310242160-3308https://doaj.org/article/6424f27d4706432594a7a1547b394bef2021-07-01T00:00:00Zhttp://doi.org/10.1103/PhysRevX.11.031024http://doi.org/10.1103/PhysRevX.11.031024https://doaj.org/toc/2160-3308Hydrodynamics provides a universal description of interacting quantum field theories at sufficiently long times and wavelengths, but breaks down at scales dependent on microscopic details of the theory. In the vicinity of a quantum critical point, it is expected that some aspects of the dynamics are universal and dictated by properties of the critical point. We use gauge-gravity duality to investigate the breakdown of diffusive hydrodynamics in two low-temperature states dual to black holes with AdS_{2} horizons, which exhibit quantum critical dynamics with an emergent scaling symmetry in time. We find that the breakdown is characterized by a collision between the diffusive pole of the retarded Green’s function with a pole associated to the AdS_{2} region of the geometry, such that the local equilibration time is set by infrared properties of the theory. The absolute values of the frequency and wave vector at the collision (ω_{eq} and k_{eq}) provide a natural characterization of all the low-temperature diffusivities D of the states via D=ω_{eq}/k_{eq}^{2}, where ω_{eq}=2πΔT is set by the temperature T and the scaling dimension Δ of an operator of the infrared quantum critical theory. We confirm that these relations are also satisfied in a Sachdev-Ye-Kitaev chain model in the limit of strong interactions. Our work paves the way toward a deeper understanding of transport in quantum critical phases.Daniel AreánRichard A. DavisonBlaise GoutérauxKenta SuzukiAmerican Physical SocietyarticlePhysicsQC1-999ENPhysical Review X, Vol 11, Iss 3, p 031024 (2021)
institution DOAJ
collection DOAJ
language EN
topic Physics
QC1-999
spellingShingle Physics
QC1-999
Daniel Areán
Richard A. Davison
Blaise Goutéraux
Kenta Suzuki
Hydrodynamic Diffusion and Its Breakdown near AdS_{2} Quantum Critical Points
description Hydrodynamics provides a universal description of interacting quantum field theories at sufficiently long times and wavelengths, but breaks down at scales dependent on microscopic details of the theory. In the vicinity of a quantum critical point, it is expected that some aspects of the dynamics are universal and dictated by properties of the critical point. We use gauge-gravity duality to investigate the breakdown of diffusive hydrodynamics in two low-temperature states dual to black holes with AdS_{2} horizons, which exhibit quantum critical dynamics with an emergent scaling symmetry in time. We find that the breakdown is characterized by a collision between the diffusive pole of the retarded Green’s function with a pole associated to the AdS_{2} region of the geometry, such that the local equilibration time is set by infrared properties of the theory. The absolute values of the frequency and wave vector at the collision (ω_{eq} and k_{eq}) provide a natural characterization of all the low-temperature diffusivities D of the states via D=ω_{eq}/k_{eq}^{2}, where ω_{eq}=2πΔT is set by the temperature T and the scaling dimension Δ of an operator of the infrared quantum critical theory. We confirm that these relations are also satisfied in a Sachdev-Ye-Kitaev chain model in the limit of strong interactions. Our work paves the way toward a deeper understanding of transport in quantum critical phases.
format article
author Daniel Areán
Richard A. Davison
Blaise Goutéraux
Kenta Suzuki
author_facet Daniel Areán
Richard A. Davison
Blaise Goutéraux
Kenta Suzuki
author_sort Daniel Areán
title Hydrodynamic Diffusion and Its Breakdown near AdS_{2} Quantum Critical Points
title_short Hydrodynamic Diffusion and Its Breakdown near AdS_{2} Quantum Critical Points
title_full Hydrodynamic Diffusion and Its Breakdown near AdS_{2} Quantum Critical Points
title_fullStr Hydrodynamic Diffusion and Its Breakdown near AdS_{2} Quantum Critical Points
title_full_unstemmed Hydrodynamic Diffusion and Its Breakdown near AdS_{2} Quantum Critical Points
title_sort hydrodynamic diffusion and its breakdown near ads_{2} quantum critical points
publisher American Physical Society
publishDate 2021
url https://doaj.org/article/6424f27d4706432594a7a1547b394bef
work_keys_str_mv AT danielarean hydrodynamicdiffusionanditsbreakdownnearads2quantumcriticalpoints
AT richardadavison hydrodynamicdiffusionanditsbreakdownnearads2quantumcriticalpoints
AT blaisegouteraux hydrodynamicdiffusionanditsbreakdownnearads2quantumcriticalpoints
AT kentasuzuki hydrodynamicdiffusionanditsbreakdownnearads2quantumcriticalpoints
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