Onset of quantum chaos in disordered CFTs

Micha Berkooz; Adar Sharon; Navot Silberstein; Erez Y. Urbach

doi:https://doi.org/10.1103/PhysRevD.106.045007

Onset of quantum chaos in disordered CFTs

Micha Berkooz, Adar Sharon, Navot Silberstein, Erez Y. Urbach

Department of Particle Physics and Astrophysics

Weizmann Institute of Science

Research output: Contribution to journal › Article › peer-review

Abstract

We study the Lyapunov exponent λ_Lin quantum field theories with spacetime-independent disorder interactions. Generically λ_L can only be computed at isolated points in parameter space, and little is known about the way in which chaos grows as we deform the theory away from weak coupling. In this paper, we describe families of theories in which the disorder coupling is an exactly marginal deformation, allowing us to follow λ_L from weak to strong coupling. We find surprising behaviors in some cases, including a discontinuous transition into chaos. We also derive self-consistency equations for the two- and four-point functions for products of N nontrivial conformal field theories deformed by disorder at leading order in 1/N.

Original language	English
Article number	045007
Number of pages	29
Journal	Physical review D
Volume	106
Issue number	4
DOIs	https://doi.org/10.1103/PhysRevD.106.045007
State	Published - 15 Aug 2022

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

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https://doi.org/10.1103/PhysRevD.106.045007

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title = "Onset of quantum chaos in disordered CFTs",

abstract = "We study the Lyapunov exponent λL in quantum field theories with spacetime-independent disorder interactions. Generically λL can only be computed at isolated points in parameter space, and little is known about the way in which chaos grows as we deform the theory away from weak coupling. In this paper, we describe families of theories in which the disorder coupling is an exactly marginal deformation, allowing us to follow λL from weak to strong coupling. We find surprising behaviors in some cases, including a discontinuous transition into chaos. We also derive self-consistency equations for the two- and four-point functions for products of N nontrivial conformal field theories deformed by disorder at leading order in 1/N.",

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T1 - Onset of quantum chaos in disordered CFTs

AU - Berkooz, Micha

AU - Sharon, Adar

AU - Silberstein, Navot

AU - Urbach, Erez Y.

N1 - Publisher Copyright: © 2022 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the "https://creativecommons.org/licenses/by/4.0/"Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by SCOAP3.

PY - 2022/8/15

Y1 - 2022/8/15

N2 - We study the Lyapunov exponent λL in quantum field theories with spacetime-independent disorder interactions. Generically λL can only be computed at isolated points in parameter space, and little is known about the way in which chaos grows as we deform the theory away from weak coupling. In this paper, we describe families of theories in which the disorder coupling is an exactly marginal deformation, allowing us to follow λL from weak to strong coupling. We find surprising behaviors in some cases, including a discontinuous transition into chaos. We also derive self-consistency equations for the two- and four-point functions for products of N nontrivial conformal field theories deformed by disorder at leading order in 1/N.

AB - We study the Lyapunov exponent λL in quantum field theories with spacetime-independent disorder interactions. Generically λL can only be computed at isolated points in parameter space, and little is known about the way in which chaos grows as we deform the theory away from weak coupling. In this paper, we describe families of theories in which the disorder coupling is an exactly marginal deformation, allowing us to follow λL from weak to strong coupling. We find surprising behaviors in some cases, including a discontinuous transition into chaos. We also derive self-consistency equations for the two- and four-point functions for products of N nontrivial conformal field theories deformed by disorder at leading order in 1/N.

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U2 - https://doi.org/10.1103/PhysRevD.106.045007

DO - https://doi.org/10.1103/PhysRevD.106.045007

M3 - مقالة

SN - 2470-0010

VL - 106

JO - Physical review D

JF - Physical review D

IS - 4

M1 - 045007

ER -

Onset of quantum chaos in disordered CFTs

Abstract

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