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Author: Grafiati
Published: 6 September 2023

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1

Liu, Yizhuang, Maciej A. Nowak, and Ismail Zahed. "Disorder in the Sachdev–Ye–Kitaev model." Physics Letters B 773 (October 2017): 647–53. http://dx.doi.org/10.1016/j.physletb.2017.08.054.

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2

Bagrets, Dmitry, Alexander Altland, and Alex Kamenev. "Sachdev–Ye–Kitaev model as Liouville quantum mechanics." Nuclear Physics B 911 (October 2016): 191–205. http://dx.doi.org/10.1016/j.nuclphysb.2016.08.002.

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3

Cao, Ye, Yi-Neng Zhou, Ting-Ting Shi, and Wei Zhang. "Towards quantum simulation of Sachdev-Ye-Kitaev model." Science Bulletin 65, no. 14 (July 2020): 1170–76. http://dx.doi.org/10.1016/j.scib.2020.03.037.

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4

Polchinski, Joseph, and Vladimir Rosenhaus. "The spectrum in the Sachdev-Ye-Kitaev model." Journal of High Energy Physics 2016, no. 4 (April 2016): 1–25. http://dx.doi.org/10.1007/jhep04(2016)001.

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5

Khramtsov, M. A. "Spontaneous Symmetry Breaking in the Sachdev–Ye–Kitaev Model." Physics of Particles and Nuclei 51, no. 4 (July 2020): 557–61. http://dx.doi.org/10.1134/s1063779620040401.

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6

Bandyopadhyay, Soumik, Philipp Uhrich, Alessio Paviglianiti, and Philipp Hauke. "Universal equilibration dynamics of the Sachdev-Ye-Kitaev model." Quantum 7 (May 24, 2023): 1022. http://dx.doi.org/10.22331/q-2023-05-24-1022.

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Equilibrium quantum many-body systems in the vicinity of phase transitions generically manifest universality. In contrast, limited knowledge has been gained on possible universal characteristics in the non-equilibrium evolution of systems in quantum critical phases. In this context, universality is generically attributed to the insensitivity of observables to the microscopic system parameters and initial conditions. Here, we present such a universal feature in the equilibration dynamics of the Sachdev-Ye-Kitaev (SYK) Hamiltonian – a paradigmatic system of disordered, all-to-all interacting fermions that has been designed as a phenomenological description of quantum critical regions. We drive the system far away from equilibrium by performing a global quench, and track how its ensemble average relaxes to a steady state. Employing state-of-the-art numerical simulations for the exact evolution, we reveal that the disorder-averaged evolution of few-body observables, including the quantum Fisher information and low-order moments of local operators, exhibit within numerical resolution a universal equilibration process. Under a straightforward rescaling, data that correspond to different initial states collapse onto a universal curve, which can be well approximated by a Gaussian throughout large parts of the evolution. To reveal the physics behind this process, we formulate a general theoretical framework based on the Novikov–Furutsu theorem. This framework extracts the disorder-averaged dynamics of a many-body system as an effective dissipative evolution, and can have applications beyond this work. The exact non-Markovian evolution of the SYK ensemble is very well captured by Bourret–Markov approximations, which contrary to common lore become justified thanks to the extreme chaoticity of the system, and universality is revealed in a spectral analysis of the corresponding Liouvillian.
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7

Rashkov, Radoslav. "Integrable structures in low-dimensional holography and cosmologies." International Journal of Modern Physics A 33, no. 34 (December 10, 2018): 1845008. http://dx.doi.org/10.1142/s0217751x18450082.

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We focus on the integrable properties in low-dimensional holography. The motivation is that most of the integrable structures underlying holographic duality survive weak-strong coupling transition. We found relation between certain integrable structures in low-dimensional holography and key characteristics of the theories. We propose generalizations to higher spin (HS) theories including Sachdev–Ye–Kitaev (SYK) model. We comment on some of the intriguing relations found in this study.
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8

Nishinaka, Takahiro, and Seiji Terashima. "A note on Sachdev–Ye–Kitaev like model without random coupling." Nuclear Physics B 926 (January 2018): 321–34. http://dx.doi.org/10.1016/j.nuclphysb.2017.11.012.

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9

Fusy, É., L. Lionni, and A. Tanasa. "Combinatorial study of graphs arising from the Sachdev–Ye–Kitaev model." European Journal of Combinatorics 86 (May 2020): 103066. http://dx.doi.org/10.1016/j.ejc.2019.103066.

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10

Zhang, Pengfei, and Hui Zhai. "Topological Sachdev-Ye-Kitaev model." Physical Review B 97, no. 20 (May 22, 2018). http://dx.doi.org/10.1103/physrevb.97.201112.

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11

Fu, Wenbo, Davide Gaiotto, Juan Maldacena, and Subir Sachdev. "Supersymmetric Sachdev-Ye-Kitaev models." Physical Review D 95, no. 2 (January 13, 2017). http://dx.doi.org/10.1103/physrevd.95.026009.

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12

Kim, Jaewon, Xiangyu Cao, and Ehud Altman. "Low-rank Sachdev-Ye-Kitaev models." Physical Review B 101, no. 12 (March 16, 2020). http://dx.doi.org/10.1103/physrevb.101.125112.

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13

Kuhlenkamp, Clemens, and Michael Knap. "Periodically Driven Sachdev-Ye-Kitaev Models." Physical Review Letters 124, no. 10 (March 12, 2020). http://dx.doi.org/10.1103/physrevlett.124.106401.

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14

Gross, David J., and Vladimir Rosenhaus. "A generalization of Sachdev-Ye-Kitaev." Journal of High Energy Physics 2017, no. 2 (February 2017). http://dx.doi.org/10.1007/jhep02(2017)093.

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15

Maldacena, Juan, and Douglas Stanford. "Remarks on the Sachdev-Ye-Kitaev model." Physical Review D 94, no. 10 (November 4, 2016). http://dx.doi.org/10.1103/physrevd.94.106002.

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16

García-García, Antonio M., and Victor Godet. "Euclidean wormhole in the Sachdev-Ye-Kitaev model." Physical Review D 103, no. 4 (February 19, 2021). http://dx.doi.org/10.1103/physrevd.103.046014.

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17

Liu, Chunxiao, Pengfei Zhang, and Xiao Chen. "Non-unitary dynamics of Sachdev-Ye-Kitaev chain." SciPost Physics 10, no. 2 (February 23, 2021). http://dx.doi.org/10.21468/scipostphys.10.2.048.

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We construct a series of one-dimensional non-unitary dynamics consisting of both unitary and imaginary evolutions based on the Sachdev-Ye-Kitaev model. Starting from a short-range entangled state, we analyze the entanglement dynamics using the path integral formalism in the large N limit. Among all the results that we obtain, two of them are particularly interesting: (1) By varying the strength of the imaginary evolution, the interacting model exhibits a first order phase transition from the highly entangled volume law phase to an area law phase; (2) The one-dimensional free fermion model displays an extensive critical regime with emergent two-dimensional conformal symmetry.
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18

Zhang, Pengfei. "More on complex Sachdev-Ye-Kitaev eternal wormholes." Journal of High Energy Physics 2021, no. 3 (March 2021). http://dx.doi.org/10.1007/jhep03(2021)087.

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Abstract In this work, we study a generalization of the coupled Sachdev-Ye-Kitaev (SYK) model with U(1) charge conservations. The model contains two copies of the complex SYK model at different chemical potentials, coupled by a direct hopping term. In the zero-temperature and small coupling limit with small averaged chemical potential, the ground state is an eternal wormhole connecting two sides, with a specific charge Q = 0, which is equivalent to a thermofield double state. We derive the conformal Green’s functions and determine corresponding IR parameters. At higher chemical potential, the system transit into the black hole phase. We further derive the Schwarzian effective action and study its quench dynamics. Finally, we compare numerical results with the analytical predictions.
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19

Haldar, Arijit, Omid Tavakol, and Thomas Scaffidi. "Variational wave functions for Sachdev-Ye-Kitaev models." Physical Review Research 3, no. 2 (April 7, 2021). http://dx.doi.org/10.1103/physrevresearch.3.023020.

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20

Kulkarni, Anish, Tokiro Numasawa, and Shinsei Ryu. "Lindbladian dynamics of the Sachdev-Ye-Kitaev model." Physical Review B 106, no. 7 (August 22, 2022). http://dx.doi.org/10.1103/physrevb.106.075138.

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21

Liu, Chunxiao, Xiao Chen, and Leon Balents. "Quantum entanglement of the Sachdev-Ye-Kitaev models." Physical Review B 97, no. 24 (June 15, 2018). http://dx.doi.org/10.1103/physrevb.97.245126.

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22

Eberlein, Andreas, Valentin Kasper, Subir Sachdev, and Julia Steinberg. "Quantum quench of the Sachdev-Ye-Kitaev model." Physical Review B 96, no. 20 (November 14, 2017). http://dx.doi.org/10.1103/physrevb.96.205123.

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23

Zhang, Pengfei. "Evaporation dynamics of the Sachdev-Ye-Kitaev model." Physical Review B 100, no. 24 (December 3, 2019). http://dx.doi.org/10.1103/physrevb.100.245104.

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24

Huang, Yichen, and Yingfei Gu. "Eigenstate entanglement in the Sachdev-Ye-Kitaev model." Physical Review D 100, no. 4 (August 2, 2019). http://dx.doi.org/10.1103/physrevd.100.041901.

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25

Altland, Alexander, Dmitry Bagrets, and Alex Kamenev. "Quantum Criticality of Granular Sachdev-Ye-Kitaev Matter." Physical Review Letters 123, no. 10 (September 4, 2019). http://dx.doi.org/10.1103/physrevlett.123.106601.

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26

Behrends, Jan, and Benjamin Béri. "Supersymmetry in the Standard Sachdev-Ye-Kitaev Model." Physical Review Letters 124, no. 23 (June 12, 2020). http://dx.doi.org/10.1103/physrevlett.124.236804.

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27

Sonner, Julian, and Manuel Vielma. "Eigenstate thermalization in the Sachdev-Ye-Kitaev model." Journal of High Energy Physics 2017, no. 11 (November 2017). http://dx.doi.org/10.1007/jhep11(2017)149.

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28

Gu, Yingfei, Alexei Kitaev, Subir Sachdev, and Grigory Tarnopolsky. "Notes on the complex Sachdev-Ye-Kitaev model." Journal of High Energy Physics 2020, no. 2 (February 2020). http://dx.doi.org/10.1007/jhep02(2020)157.

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29

Jia, Yiyang, and Jacobus J. M. Verbaarschot. "Spectral fluctuations in the Sachdev-Ye-Kitaev model." Journal of High Energy Physics 2020, no. 7 (July 2020). http://dx.doi.org/10.1007/jhep07(2020)193.

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30

Fremling, Mikael, and Lars Fritz. "Sachdev-Ye-Kitaev type physics in the strained Kitaev honeycomb model." Physical Review B 105, no. 8 (February 25, 2022). http://dx.doi.org/10.1103/physrevb.105.085147.

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31

Su, Kaixiang, Pengfei Zhang, and Hui Zhai. "Page curve from non-Markovianity." Journal of High Energy Physics 2021, no. 6 (June 2021). http://dx.doi.org/10.1007/jhep06(2021)156.

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Abstract In this paper, we use the exactly solvable Sachdev-Ye-Kitaev model to address the issue of entropy dynamics when an interacting quantum system is coupled to a non-Markovian environment. We find that at the initial stage, the entropy always increases linearly matching the Markovian result. When the system thermalizes with the environment at a sufficiently long time, if the environment temperature is low and the coupling between system and environment is weak, then the total thermal entropy is low and the entanglement between system and environment is also weak, which yields a small system entropy in the long-time steady state. This manifestation of non-Markovian effects of the environment forces the entropy to decrease in the later stage, which yields the Page curve for the entropy dynamics. We argue that this physical scenario revealed by the exact solution of the Sachdev-Ye-Kitaev model is universally applicable for general chaotic quantum many-body systems and can be verified experimentally in near future.
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32

Chen, Xiao, Yingfei Gu, and Andrew Lucas. "Many-body quantum dynamics slows down at low density." SciPost Physics 9, no. 5 (November 12, 2020). http://dx.doi.org/10.21468/scipostphys.9.5.071.

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We study quantum many-body systems with a global U(1) conservation law, focusing on a theory of N interacting fermions with charge conservation, or N interacting spins with one conserved component of total spin. We define an effective operator size at finite chemical potential through suitably regularized out-of-time-ordered correlation functions. The growth rate of this density-dependent operator size vanishes algebraically with charge density; hence we obtain new bounds on Lyapunov exponents and butterfly velocities in charged systems at a given density, which are parametrically stronger than any Lieb-Robinson bound. We argue that the density dependence of our bound on the Lyapunov exponent is saturated in the charged Sachdev-Ye-Kitaev model. We also study random automaton quantum circuits and Brownian Sachdev-Ye-Kitaev models, each of which exhibit a different density dependence for the Lyapunov exponent, and explain the discrepancy. We propose that our results are a cartoon for understanding Planckian-limited energy-conserving dynamics at finite temperature.
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33

Wei, Chenan, and Tigran A. Sedrakyan. "Optical lattice platform for the Sachdev-Ye-Kitaev model." Physical Review A 103, no. 1 (January 29, 2021). http://dx.doi.org/10.1103/physreva.103.013323.

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34

Kobrin, Bryce, Zhenbin Yang, Gregory D. Kahanamoku-Meyer, Christopher T. Olund, Joel E. Moore, Douglas Stanford, and Norman Y. Yao. "Many-Body Chaos in the Sachdev-Ye-Kitaev Model." Physical Review Letters 126, no. 3 (January 20, 2021). http://dx.doi.org/10.1103/physrevlett.126.030602.

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35

Lantagne-Hurtubise, Étienne, Vedangi Pathak, Sharmistha Sahoo, and Marcel Franz. "Superconducting instabilities in a spinful Sachdev-Ye-Kitaev model." Physical Review B 104, no. 2 (July 23, 2021). http://dx.doi.org/10.1103/physrevb.104.l020509.

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36

Aleksey, Lunkin, and Mikhail Feigel'man. "Non-equilibrium Sachdev-Ye-Kitaev model with quadratic perturbation." SciPost Physics 12, no. 1 (January 20, 2022). http://dx.doi.org/10.21468/scipostphys.12.1.031.

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We consider a non-equilibrium generalization of the mixed SYK_44+SYK_22 model and calculate the energy dissipation rate W(\omega)W(ω) that results due to periodic modulation of random quadratic matrix elements with a frequency \omegaω. We find that W(\omega)W(ω) possesses a peak at \omegaω close to the polaron energy spliting \omega_RωR found recently in [1], demonstrating physical significance of this energy scale. Next, we study the effect of energy pumping with a finite amplitude at the resonance frequency \omega_RωR and calculate, in presence of this pumping, non-equilibrium dissipation rate due to low-frequency parameteric modulation. We found unusual phenomenon similar to “dry friction” in presence of pumping.
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37

Tarnopolsky, Grigory. "Large q expansion in the Sachdev-Ye-Kitaev model." Physical Review D 99, no. 2 (January 15, 2019). http://dx.doi.org/10.1103/physrevd.99.026010.

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38

Chew, Aaron, Andrew Essin, and Jason Alicea. "Approximating the Sachdev-Ye-Kitaev model with Majorana wires." Physical Review B 96, no. 12 (September 29, 2017). http://dx.doi.org/10.1103/physrevb.96.121119.

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39

Winer, Michael, Shao-Kai Jian, and Brian Swingle. "Exponential Ramp in the Quadratic Sachdev-Ye-Kitaev Model." Physical Review Letters 125, no. 25 (December 18, 2020). http://dx.doi.org/10.1103/physrevlett.125.250602.

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40

Guo, Haoyu, Yingfei Gu, and Subir Sachdev. "Transport and chaos in lattice Sachdev-Ye-Kitaev models." Physical Review B 100, no. 4 (July 26, 2019). http://dx.doi.org/10.1103/physrevb.100.045140.

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41

Song, Xue-Yang, Chao-Ming Jian, and Leon Balents. "Strongly Correlated Metal Built from Sachdev-Ye-Kitaev Models." Physical Review Letters 119, no. 21 (November 20, 2017). http://dx.doi.org/10.1103/physrevlett.119.216601.

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42

García-García, Antonio M., Bruno Loureiro, Aurelio Romero-Bermúdez, and Masaki Tezuka. "Chaotic-Integrable Transition in the Sachdev-Ye-Kitaev Model." Physical Review Letters 120, no. 24 (June 15, 2018). http://dx.doi.org/10.1103/physrevlett.120.241603.

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43

Schmitt, Markus, Dries Sels, Stefan Kehrein, and Anatoli Polkovnikov. "Semiclassical echo dynamics in the Sachdev-Ye-Kitaev model." Physical Review B 99, no. 13 (April 8, 2019). http://dx.doi.org/10.1103/physrevb.99.134301.

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44

Micklitz, T., Felipe Monteiro, and Alexander Altland. "Nonergodic Extended States in the Sachdev-Ye-Kitaev Model." Physical Review Letters 123, no. 12 (September 18, 2019). http://dx.doi.org/10.1103/physrevlett.123.125701.

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45

Gu, Yingfei, Andrew Lucas, and Xiao-Liang Qi. "Spread of entanglement in a Sachdev-Ye-Kitaev chain." Journal of High Energy Physics 2017, no. 9 (September 2017). http://dx.doi.org/10.1007/jhep09(2017)120.

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46

Wang, Hanteng, D. Bagrets, A. L. Chudnovskiy, and A. Kamenev. "On the replica structure of Sachdev-Ye-Kitaev model." Journal of High Energy Physics 2019, no. 9 (September 2019). http://dx.doi.org/10.1007/jhep09(2019)057.

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47

Heydeman, M., G. J. Turiaci, and W. Zhao. "Phases of $$ \mathcal{N} $$ = 2 Sachdev-Ye-Kitaev models." Journal of High Energy Physics 2023, no. 1 (January 18, 2023). http://dx.doi.org/10.1007/jhep01(2023)098.

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Abstract We study $$ \mathcal{N} $$ N = 2 supersymmetric Sachdev-Ye-Kitaev (SYK) models with com- plex fermions at non-zero background charge. Motivated by multi-charge supersymmetric black holes, we propose a new $$ \mathcal{N} $$ N = 2 SYK model with multiple U(1) symmetries, integer charges, and a non-vanishing supersymmetric index, realizing features not present in known SYK models. In both models, a conformal solution with a super-Schwarzian mode emerges at low temperatures, signalling the appearance of nearly AdS2/BPS physics. However, in contrast to complex SYK, the fermion scaling dimension depends on the background charge in the conformal limit. For a critical charge, we find a high to low entropy phase transition in which the conformal solution ceases to be valid. This transition has a simple interpretation– the fermion scaling dimension violates the unitarity bound. We offer some comments on a holographic interpretation for supersymmetric black holes.
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48

Kawabata, Kohei, Anish Kulkarni, Jiachen Li, Tokiro Numasawa, and Shinsei Ryu. "Dynamical quantum phase transitions in Sachdev-Ye-Kitaev Lindbladians." Physical Review B 108, no. 7 (August 3, 2023). http://dx.doi.org/10.1103/physrevb.108.075110.

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49

Nojiri, Shin ichi, and Sergei D. Odintsov. "2D F(R) gravity and AdS2/CFT1correspondence." Europhysics Letters, August 22, 2022. http://dx.doi.org/10.1209/0295-5075/ac8ba0.

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Abstract We studied the canonical structure of 2D F (R) gravity. Its equivalence with Jackiw-Teitelboim gravity is demonstrated when no matter presents. Then, due to AdS2/CFT1 correspondence, such F (R) gravity is equivalent to the Sachdev-Ye–Kitaev models. The singular D → 2 limit of F (R) gravity is also studied. It is shown that in such a limit AdS2/CFT1 correspondence is not realized.
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50

García-García, Antonio M., Yiyang Jia, Dario Rosa, and Jacobus J. M. Verbaarschot. "Sparse Sachdev-Ye-Kitaev model, quantum chaos, and gravity duals." Physical Review D 103, no. 10 (May 3, 2021). http://dx.doi.org/10.1103/physrevd.103.106002.

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