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On thermalization in the SYK and supersymmetric SYK models

Journal Article · · Journal of High Energy Physics (Online)
 [1];  [2];  [3]
  1. California Inst. of Technology (CalTech), Pasadena, CA (United States). Inst. for Quantum Information and Matter; California Inst. of Technology, Pasadena (United States)
  2. California Inst. of Technology (CalTech), Pasadena, CA (United States). Walter Burke Inst. for Theoretical Physics
  3. Perimeter Inst. for Theoretical Physics, Waterloo, ON (Canada); Univ. of Waterloo, Waterloo, ON (Canada). Dept. of Physics and Astronomy
+ Show Author Affiliations
The eigenstate thermalization hypothesis is a compelling conjecture which strives to explain the apparent thermal behavior of generic observables in closed quantum systems. Although we are far from a complete analytic understanding, quantum chaos is often seen as a strong indication that the ansatz holds true. In this paper, we address the thermalization of energy eigenstates in the Sachdev-Ye-Kitaev model, a maximally chaotic model of strongly-interacting Majorana fermions. We numerically investigate eigenstate thermalization for specific few-body operators in the original SYK model as well as its N = 1 supersymmetric extension and find evidence that these models satisfy ETH. In conclusion, we discuss the implications of ETH for a gravitational dual and the quantum information-theoretic properties of SYK it suggests.
Research Organization:
California Inst. of Technology, Pasadena, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
Grant/Contract Number:
SC0011632
OSTI ID:
1499664
Alternate ID(s):
OSTI ID: 22739149
Journal Information:
Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 2 Vol. 2018; ISSN 1029-8479
Publisher:
Springer BerlinCopyright Statement
Country of Publication:
United States
Language:
English

References (47)

The spectrum in the Sachdev-Ye-Kitaev model journal April 2016
Eigenstate thermalization within isolated spin-chain systems journal January 2013
The approach to thermal equilibrium in quantized chaotic systems text January 1998
Diving into traversable wormholes: Diving into traversable wormholes journal May 2017
Chaos in quantum channels journal February 2016
Black holes and the butterfly effect journal March 2014
Quantum chaos and holographic tensor models journal March 2017
The spectrum in the Sachdev-Ye-Kitaev model journal April 2016
Chaos and complexity by design journal April 2017
Stringy effects in scrambling journal May 2015
A supersymmetric SYK-like tensor model journal May 2017
Black holes and random matrices journal May 2017
Local criticality, diffusion and chaos in generalized Sachdev-Ye-Kitaev models journal May 2017
Supersymmetric SYK model and random matrix theory journal June 2017
A bound on chaos journal August 2016
More on supersymmetric and 2d analogs of the SYK model journal August 2017
Complete random matrix classification of SYK models with N $$ \mathcal{N} $$ = 0, 1 and 2 supersymmetry journal September 2017
Spread of entanglement in a Sachdev-Ye-Kitaev chain journal September 2017
Supersymmetric SYK model: bi-local collective superfield/supermatrix formulation journal October 2017
Correlators in the N = 2 $$ \mathcal{N}=2 $$ supersymmetric SYK model journal October 2017
Virasoro conformal blocks and thermality from classical background fields journal November 2015
Chaos, complexity, and random matrices journal November 2017
Eigenstate thermalization in the Sachdev-Ye-Kitaev model journal November 2017
A note on the SYK model with complex fermions journal December 2017
Traversable wormholes via a double trace deformation journal December 2017
The 1/N Expansion of Colored Tensor Models journal March 2011
Thermalization and its mechanism for generic isolated quantum systems journal April 2008
From quantum chaos and eigenstate thermalization to statistical mechanics and thermodynamics journal May 2016
Thermal fluctuations in quantized chaotic systems journal February 1996
The approach to thermal equilibrium in quantized chaotic systems journal January 1999
Black holes as mirrors: quantum information in random subsystems journal September 2007
Fast scramblers journal October 2008
Quantum statistical mechanics in a closed system journal February 1991
Quantum quenches and thermalization in one-dimensional fermionic systems journal November 2009
Quantum chaos and thermalization in gapped systems journal July 2010
Numerical study of fermion and boson models with infinite-range random interactions journal July 2016
Sachdev-Ye-Kitaev model and thermalization on the boundary of many-body localized fermionic symmetry-protected topological states journal March 2017
Thermoelectric transport in disordered metals without quasiparticles: The Sachdev-Ye-Kitaev models and holography journal April 2017
Quantum quench of the Sachdev-Ye-Kitaev model journal November 2017
Spectral and thermodynamic properties of the Sachdev-Ye-Kitaev model journal December 2016
Supersymmetric Sachdev-Ye-Kitaev models journal January 2017
Breakdown of Thermalization in Finite One-Dimensional Systems journal September 2009
Diagnosing Chaos Using Four-Point Functions in Two-Dimensional Conformal Field Theory journal September 2015
Random Free Fermions: An Analytical Example of Eigenstate Thermalization journal January 2016
Chaos in AdS 2 Holography journal September 2016
Gapless spin-fluid ground state in a random quantum Heisenberg magnet journal May 1993
Bekenstein-Hawking Entropy and Strange Metals journal November 2015

Cited By (12)

Quantum complexity of time evolution with chaotic Hamiltonians journal January 2020
Chaos and random matrices in supersymmetric SYK journal May 2018
Quantum quenches and thermalization in SYK models journal July 2019
Off-diagonal observable elements from random matrix theory: distributions, fluctuations, and eigenstate thermalization journal October 2018
An introduction to the SYK model journal July 2019
Eigenstate entanglement in the Sachdev-Ye-Kitaev model journal August 2019
Probing thermality beyond the diagonal journal December 2018
Quantum chaotic fluctuation-dissipation theorem: Effective Brownian motion in closed quantum systems journal May 2019
Probing thermality beyond the diagonal text January 2018
Eigenstate entanglement in the Sachdev-Ye-Kitaev model text January 2017
Chaos and random matrices in supersymmetric SYK text January 2017
Quantum Quenches and Thermalization in SYK models text January 2018

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