On thermalization in the SYK and supersymmetric SYK models
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 SachdevYeKitaev model, a maximally chaotic model of stronglyinteracting Majorana fermions. We numerically investigate eigenstate thermalization for specific fewbody 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 informationtheoretic properties of SYK it suggests.
 Authors:

^{[1]};
^{[2]};
^{[3]}
 California Inst. of Technology (CalTech), Pasadena, CA (United States). Inst. for Quantum Information and Matter
 California Inst. of Technology (CalTech), Pasadena, CA (United States). Walter Burke Inst. for Theoretical Physics
 Perimeter Inst. for Theoretical Physics, Waterloo, ON (Canada); Univ. of Waterloo, Waterloo, ON (Canada). Dept. of Physics and Astronomy
 Publication Date:
 Grant/Contract Number:
 SC0011632
 Type:
 Accepted Manuscript
 Journal Name:
 Journal of High Energy Physics (Online)
 Additional Journal Information:
 Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2018; Journal Issue: 2; Journal ID: ISSN 10298479
 Publisher:
 Springer Berlin
 Research Org:
 California Inst. of Technology, Pasadena, CA (United States)
 Sponsoring Org:
 USDOE Office of Science (SC), High Energy Physics (HEP) (SC25)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 2D Gravity; AdSCFT Correspondence; Black Holes; Random Systems
 OSTI Identifier:
 1499664
HunterJones, Nicholas, Liu, Junyu, and Zhou, Yehao. On thermalization in the SYK and supersymmetric SYK models. United States: N. p.,
Web. doi:10.1007/jhep02(2018)142.
HunterJones, Nicholas, Liu, Junyu, & Zhou, Yehao. On thermalization in the SYK and supersymmetric SYK models. United States. doi:10.1007/jhep02(2018)142.
HunterJones, Nicholas, Liu, Junyu, and Zhou, Yehao. 2018.
"On thermalization in the SYK and supersymmetric SYK models". United States.
doi:10.1007/jhep02(2018)142. https://www.osti.gov/servlets/purl/1499664.
@article{osti_1499664,
title = {On thermalization in the SYK and supersymmetric SYK models},
author = {HunterJones, Nicholas and Liu, Junyu and Zhou, Yehao},
abstractNote = {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 SachdevYeKitaev model, a maximally chaotic model of stronglyinteracting Majorana fermions. We numerically investigate eigenstate thermalization for specific fewbody 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 informationtheoretic properties of SYK it suggests.},
doi = {10.1007/jhep02(2018)142},
journal = {Journal of High Energy Physics (Online)},
number = 2,
volume = 2018,
place = {United States},
year = {2018},
month = {2}
}