Sixfold Way of Traversable Wormholes in the Sachdev-Ye-Kitaev Model

García-García, Antonio M.; Sá, Lucas; Verbaarschot, Jacobus J. M.; Yin, Can

doi:10.1103/PhysRevLett.132.061603

Title: Sixfold Way of Traversable Wormholes in the Sachdev-Ye-Kitaev Model

Journal Article · 08 February 2024 · Physical Review Letters

DOI: https://doi.org/10.1103/PhysRevLett.132.061603 · OSTI ID:2293634

García-García, Antonio M.;

; Verbaarschot, Jacobus J. M.;

In the infrared limit, a nearly anti–de Sitter spacetime in two dimensions ( ${AdS}_{2}$ ) perturbed by a weak double trace deformation and a two-site ( $q > 2$ )-body Sachdev-Ye-Kitaev (SYK) model with $N$ Majoranas and a weak $2 r$ -body intersite coupling share the same near-conformal dynamics described by a traversable wormhole. We exploit this relation to propose a symmetry classification of traversable wormholes depending on $N$ , $q$ , and $r$ , with $q > 2 r$ , and confirm it by a level statistics analysis using exact diagonalization techniques. Intriguingly, a time-reversed state never results in a new state, so only six universality classes occur—A, AI, BDI, CI, C, and D—and different symmetry sectors of the model may belong to distinct universality classes. Published by the American Physical Society 2024

View Journal Article

Cite

Export

Save

Sponsoring Organization:: USDOE

Grant/Contract Number:: FAG-88FR40388

OSTI ID:: 2293634

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Vol. 132 Journal Issue: 6; ISSN 0031-9007

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

References (69)

Microscopic spectrum of the QCD Dirac operator with finite quark masses Wilke, T.; Guhr, T.; Wettig, T. Physical Review D, Vol. 57, Issue 10 https://doi.org/10.1103/PhysRevD.57.6486	journal	May 1998
Sachdev–Ye–Kitaev model as Liouville quantum mechanics Bagrets, Dmitry; Altland, Alexander; Kamenev, Alex Nuclear Physics B, Vol. 911 https://doi.org/10.1016/j.nuclphysb.2016.08.002	journal	October 2016
Smallest Dirac eigenvalue distribution from random matrix theory Nishigaki, Shinsuke M.; Damgaard, Poul H.; Wettig, Tilo Physical Review D, Vol. 58, Issue 8 https://doi.org/10.1103/PhysRevD.58.087704	journal	September 1998
The spectrum edge of random matrix ensembles Forrester, P. J. Nuclear Physics B, Vol. 402, Issue 3 https://doi.org/10.1016/0550-3213(93)90126-A	journal	August 1993
Anderson transitions Evers, Ferdinand; Mirlin, Alexander D. Reviews of Modern Physics, Vol. 80, Issue 4 https://doi.org/10.1103/RevModPhys.80.1355	journal	October 2008
Critical statistics in quantum chaos and Calogero-Sutherland model at finite temperature García-García, A. M.; Verbaarschot, J. J. M. Physical Review E, Vol. 67, Issue 4 https://doi.org/10.1103/PhysRevE.67.046104	journal	April 2003
Absence of Diffusion in Certain Random Lattices Anderson, P. W. Physical Review, Vol. 109, Issue 5 https://doi.org/10.1103/PhysRev.109.1492	journal	March 1958
Random-matrix theories in quantum physics: common concepts Guhr, Thomas; Müller–Groeling, Axel; Weidenmüller, Hans A. Physics Reports, Vol. 299, Issue 4-6 https://doi.org/10.1016/S0370-1573(97)00088-4	journal	June 1998
Nonstandard symmetry classes in mesoscopic normal-superconducting hybrid structures Altland, Alexander; Zirnbauer, Martin R. Physical Review B, Vol. 55, Issue 2 https://doi.org/10.1103/PhysRevB.55.1142	journal	January 1997
Supersymmetric SYK model and random matrix theory Li, Tianlin; Liu, Junyu; Xin, Yuan Journal of High Energy Physics, Vol. 2017, Issue 6 https://doi.org/10.1007/JHEP06(2017)111	journal	June 2017
Spacing and individual eigenvalue distributions of two-body random hamiltonians Bohigas, O.; Flores, J. Physics Letters B, Vol. 35, Issue 5 https://doi.org/10.1016/0370-2693(71)90399-6	journal	June 1971
Traversable wormholes via a double trace deformation Gao, Ping; Jafferis, Daniel Louis; Wall, Aron C. Journal of High Energy Physics, Vol. 2017, Issue 12 https://doi.org/10.1007/JHEP12(2017)151	journal	December 2017
Spectral density of the QCD Dirac operator near zero virtuality Verbaarschot, J. J. M.; Zahed, I. Physical Review Letters, Vol. 70, Issue 25 https://doi.org/10.1103/PhysRevLett.70.3852	journal	June 1993
Gapless spin-fluid ground state in a random quantum Heisenberg magnet Sachdev, Subir; Ye, Jinwu Physical Review Letters, Vol. 70, Issue 21 https://doi.org/10.1103/PhysRevLett.70.3339	journal	May 1993
Nonuniversal Behavior of the k -Body Embedded Gaussian Unitary Ensemble of Random Matrices Benet, L.; Rupp, T.; Weidenmüller, H. A. Physical Review Letters, Vol. 87, Issue 1 https://doi.org/10.1103/PhysRevLett.87.010601	journal	June 2001
Symmetry Classification and Universality in Non-Hermitian Many-Body Quantum Chaos by the Sachdev-Ye-Kitaev Model García-García, Antonio M.; Sá, Lucas; Verbaarschot, Jacobus J. M. Physical Review X, Vol. 12, Issue 2 https://doi.org/10.1103/PhysRevX.12.021040	journal	May 2022
Random matrix theory and spectral sum rules for the Dirac operator in QCD Shuryak, E. V.; Verbaarschot, J. J. M. Nuclear Physics A, Vol. 560, Issue 1 https://doi.org/10.1016/0375-9474(93)90098-I	journal	July 1993
Replica variables, loop expansion, and spectral rigidity of random-matrix ensembles Verbaarschot, J. J. M.; Zirnbauer, M. R. Annals of Physics, Vol. 158, Issue 1 https://doi.org/10.1016/0003-4916(84)90240-9	journal	November 1984
Statistical properties of many-particle spectra Mon, K. K.; French, J. B. Annals of Physics, Vol. 95, Issue 1 https://doi.org/10.1016/0003-4916(75)90045-7	journal	November 1975
Spontaneous breaking of U(1) symmetry in coupled complex SYK models Klebanov, Igor R.; Milekhin, Alexey; Tarnopolsky, Grigory Journal of High Energy Physics, Vol. 2020, Issue 11 https://doi.org/10.1007/JHEP11(2020)162	journal	November 2020
Validity of random matrix theories for many-particle systems French, J. B.; Wong, S. S. M. Physics Letters B, Vol. 33, Issue 7 https://doi.org/10.1016/0370-2693(70)90213-3	journal	December 1970
Universality classes of non-Hermitian random matrices Hamazaki, Ryusuke; Kawabata, Kohei; Kura, Naoto Physical Review Research, Vol. 2, Issue 2 https://doi.org/10.1103/PhysRevResearch.2.023286	journal	June 2020
Some random-matrix level and spacing distributions for fixed-particle-rank interactions French, J. B.; Wong, S. S. M. Physics Letters B, Vol. 35, Issue 1 https://doi.org/10.1016/0370-2693(71)90424-2	journal	April 1971
Quantum chaos in 2D gravity Altland, Alexander; Post, Boris; Sonner, Julian SciPost Physics, Vol. 15, Issue 2 https://doi.org/10.21468/SciPostPhys.15.2.064	journal	August 2023
Distribution of the k th smallest Dirac operator eigenvalue Damgaard, Poul H.; Nishigaki, Shinsuke M. Physical Review D, Vol. 63, Issue 4 https://doi.org/10.1103/PhysRevD.63.045012	journal	January 2001
Distribution of the Ratio of Consecutive Level Spacings in Random Matrix Ensembles Atas, Y. Y.; Bogomolny, E.; Giraud, O. Physical Review Letters, Vol. 110, Issue 8 https://doi.org/10.1103/PhysRevLett.110.084101	journal	February 2013
Critical statistics for non-Hermitian matrices García-García, A. M.; Nishigaki, S. M.; Verbaarschot, J. J. M. Physical Review E, Vol. 66, Issue 1 https://doi.org/10.1103/PhysRevE.66.016132	journal	July 2002
Characterization of Chaotic Quantum Spectra and Universality of Level Fluctuation Laws Bohigas, O.; Giannoni, M. J.; Schmit, C. Physical Review Letters, Vol. 52, Issue 1 https://doi.org/10.1103/PhysRevLett.52.1	journal	January 1984
On the statistical distribution of the widths and spacings of nuclear resonance levels Wigner, Eugene P. Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 47, Issue 4 https://doi.org/10.1017/S0305004100027237	journal	October 1951
Black holes and random matrices Cotler, Jordan S.; Gur-Ari, Guy; Hanada, Masanori Journal of High Energy Physics, Vol. 2017, Issue 5 https://doi.org/10.1007/JHEP05(2017)118	journal	May 2017
Symmetry Classification of Many-Body Lindbladians: Tenfold Way and Beyond Sá, Lucas; Ribeiro, Pedro; Prosen, Tomaž Physical Review X, Vol. 13, Issue 3 https://doi.org/10.1103/PhysRevX.13.031019	journal	August 2023
Topological insulators and superconductors: tenfold way and dimensional hierarchy Ryu, Shinsei; Schnyder, Andreas P.; Furusaki, Akira New Journal of Physics, Vol. 12, Issue 6 https://doi.org/10.1088/1367-2630/12/6/065010	journal	June 2010
A Class of Matrix Ensembles Dyson, Freeman J. Journal of Mathematical Physics, Vol. 13, Issue 1 https://doi.org/10.1063/1.1665857	journal	January 1972
Wigner surmise for Hermitian and non-Hermitian chiral random matrices Akemann, G.; Bittner, E.; Phillips, M. J. Physical Review E, Vol. 80, Issue 6 https://doi.org/10.1103/PhysRevE.80.065201	journal	December 2009
Quantum chaos and thermalization in isolated systems of interacting particles Borgonovi, F.; Izrailev, F. M.; Santos, L. F. Physics Reports, Vol. 626 https://doi.org/10.1016/j.physrep.2016.02.005	journal	April 2016
Keldysh wormholes and anomalous relaxation in the dissipative Sachdev-Ye-Kitaev model García-García, Antonio M.; Sá, Lucas; Verbaarschot, Jacobus J. M. Physical Review D, Vol. 107, Issue 10 https://doi.org/10.1103/PhysRevD.107.106006	journal	May 2023
Symmetry Breaking in Coupled SYK or Tensor Models Kim, Jaewon; Klebanov, Igor R.; Tarnopolsky, Grigory Physical Review X, Vol. 9, Issue 2 https://doi.org/10.1103/PhysRevX.9.021043	journal	May 2019
Localization of interacting fermions at high temperature Oganesyan, Vadim; Huse, David A. Physical Review B, Vol. 75, Issue 15 https://doi.org/10.1103/PhysRevB.75.155111	journal	April 2007
Lower dimensional gravity Jackiw, Roman Nuclear Physics B, Vol. 252 https://doi.org/10.1016/0550-3213(85)90448-1	journal	January 1985
Symmetry and Topology in Non-Hermitian Physics Kawabata, Kohei; Shiozaki, Ken; Ueda, Masahito Physical Review X, Vol. 9, Issue 4 https://doi.org/10.1103/PhysRevX.9.041015	journal	October 2019
Q -Laguerre spectral density and quantum chaos in the Wishart-Sachdev-Ye-Kitaev model Sá, Lucas; García-García, Antonio M. Physical Review D, Vol. 105, Issue 2 https://doi.org/10.1103/PhysRevD.105.026005	journal	January 2022
Euclidean wormhole in the Sachdev-Ye-Kitaev model García-García, Antonio M.; Godet, Victor Physical Review D, Vol. 103, Issue 4 https://doi.org/10.1103/PhysRevD.103.046014	journal	February 2021
Quantum chaos transition in a two-site Sachdev-Ye-Kitaev model dual to an eternal traversable wormhole García-García, Antonio M.; Nosaka, Tomoki; Rosa, Dario Physical Review D, Vol. 100, Issue 2 https://doi.org/10.1103/PhysRevD.100.026002	journal	July 2019
Supersymmetry and theory of disordered metals Efetov, K. B. Advances in Physics, Vol. 32, Issue 1 https://doi.org/10.1080/00018738300101531	journal	January 1983
Supersymmetry in the Standard Sachdev-Ye-Kitaev Model Behrends, Jan; Béri, Benjamin Physical Review Letters, Vol. 124, Issue 23 https://doi.org/10.1103/PhysRevLett.124.236804	journal	June 2020
Spectral and thermodynamic properties of the Sachdev-Ye-Kitaev model García-García, Antonio M.; Verbaarschot, Jacobus J. M. Physical Review D, Vol. 94, Issue 12 https://doi.org/10.1103/PhysRevD.94.126010	journal	December 2016
Complete random matrix classification of SYK models with N $$ \mathcal{N} $$ = 0, 1 and 2 supersymmetry Kanazawa, Takuya; Wettig, Tilo Journal of High Energy Physics, Vol. 2017, Issue 9 https://doi.org/10.1007/JHEP09(2017)050	journal	September 2017
Supersymmetric Sachdev-Ye-Kitaev models Fu, Wenbo; Gaiotto, Davide; Maldacena, Juan Physical Review D, Vol. 95, Issue 2 https://doi.org/10.1103/PhysRevD.95.026009	journal	January 2017
Remarks on the Sachdev-Ye-Kitaev model Maldacena, Juan; Stanford, Douglas Physical Review D, Vol. 94, Issue 10 https://doi.org/10.1103/PhysRevD.94.106002	journal	November 2016
The Threefold Way. Algebraic Structure of Symmetry Groups and Ensembles in Quantum Mechanics Dyson, Freeman J. Journal of Mathematical Physics, Vol. 3, Issue 6 https://doi.org/10.1063/1.1703863	journal	November 1962
Gravitation and hamiltonian structure in two spacetime dimensions Teitelboim, Claudio Physics Letters B, Vol. 126, Issue 1-2 https://doi.org/10.1016/0370-2693(83)90012-6	journal	June 1983
Universality and Thouless energy in the supersymmetric Sachdev-Ye-Kitaev model García-García, Antonio M.; Jia, Yiyang; Verbaarschot, Jacobus J. M. Physical Review D, Vol. 97, Issue 10 https://doi.org/10.1103/PhysRevD.97.106003	journal	May 2018
Chiral random matrix model for critical statistics Garcia-Garcia, A. M.; Verbaarschot, J. J. M. Nuclear Physics B, Vol. 586, Issue 3 https://doi.org/10.1016/s0550-3213(00)00362-x	journal	October 2000
Metal–insulator transition in a weakly interacting many-electron system with localized single-particle states Basko, D. M.; Aleiner, I. L.; Altshuler, B. L. Annals of Physics, Vol. 321, Issue 5 https://doi.org/10.1016/j.aop.2005.11.014	journal	May 2006
Sachdev-Ye-Kitaev model and thermalization on the boundary of many-body localized fermionic symmetry-protected topological states You, Yi-Zhuang; Ludwig, Andreas W. W.; Xu, Cenke Physical Review B, Vol. 95, Issue 11 https://doi.org/10.1103/PhysRevB.95.115150	journal	March 2017
New universality classes of the non-Hermitian Dirac operator in QCD-like theories Kanazawa, Takuya; Wettig, Tilo Physical Review D, Vol. 104, Issue 1 https://doi.org/10.1103/PhysRevD.104.014509	journal	July 2021
On some Gaussian ensembles of Hermitian matrices Mehta, M. L.; Pandey, A. Journal of Physics A: Mathematical and General, Vol. 16, Issue 12 https://doi.org/10.1088/0305-4470/16/12/014	journal	August 1983
Periodic Table of the Ordinary and Supersymmetric Sachdev-Ye-Kitaev Models Sun, Fadi; Ye, Jinwu Physical Review Letters, Vol. 124, Issue 24 https://doi.org/10.1103/PhysRevLett.124.244101	journal	June 2020
SYK wormhole formation in real time Maldacena, Juan; Milekhin, Alexey Journal of High Energy Physics, Vol. 2021, Issue 4 https://doi.org/10.1007/JHEP04(2021)258	journal	April 2021
Periodic table for topological bands with non-Hermitian symmetries Zhou, Hengyun; Lee, Jong Yeon Physical Review B, Vol. 99, Issue 23 https://doi.org/10.1103/PhysRevB.99.235112	journal	June 2019
Erratum to: Black holes and random matrices Cotler, Jordan S.; Gur-Ari, Guy; Hanada, Masanori Journal of High Energy Physics, Vol. 2018, Issue 9 https://doi.org/10.1007/JHEP09(2018)002	journal	September 2018
Quantum ergodicity in the SYK model Altland, Alexander; Bagrets, Dmitry Nuclear Physics B, Vol. 930 https://doi.org/10.1016/j.nuclphysb.2018.02.015	journal	May 2018
Distribution laws for the roots of a random antisymmetric hermitian matrix Mehta, M. L.; Rosenzweig, N. Nuclear Physics A, Vol. 109, Issue 2 https://doi.org/10.1016/0375-9474(68)90611-8	journal	February 1968
Statistical Theory of the Energy Levels of Complex Systems. I Dyson, Freeman J. Journal of Mathematical Physics, Vol. 3, Issue 1 https://doi.org/10.1063/1.1703773	journal	January 1962
Statistical Theory of the Energy Levels of Complex Systems. II Dyson, Freeman J. Journal of Mathematical Physics, Vol. 3, Issue 1 https://doi.org/10.1063/1.1703774	journal	January 1962
Statistical Theory of the Energy Levels of Complex Systems. III Dyson, Freeman J. Journal of Mathematical Physics, Vol. 3, Issue 1 https://doi.org/10.1063/1.1703775	journal	January 1962
Symmetry of Open Quantum Systems: Classification of Dissipative Quantum Chaos Kawabata, Kohei; Kulkarni, Anish; Li, Jiachen PRX Quantum, Vol. 4, Issue 3 https://doi.org/10.1103/PRXQuantum.4.030328	journal	August 2023
Dirac spectra of two-dimensional QCD-like theories Kieburg, Mario; Verbaarschot, Jacobus J. M.; Zafeiropoulos, Savvas Physical Review D, Vol. 90, Issue 8 https://doi.org/10.1103/PhysRevD.90.085013	journal	October 2014
Two-body random hamiltonian and level density Bohigas, O.; Flores, J. Physics Letters B, Vol. 34, Issue 4 https://doi.org/10.1016/0370-2693(71)90598-3	journal	March 1971

Similar Records

Toward a classification of PT-symmetric quantum systems: From dissipative dynamics to topology and wormholes

Journal Article · 2024 · Physical Review. D. · OSTI ID:2371756

García-García, Antonio M.; Sá, Lucas; Verbaarschot, Jacobus J. M.; +1 more

Sparsity-Independent Lyapunov Exponent in the Sachdev-Ye-Kitaev Model

Journal Article · 2024 · Physical Review Letters · OSTI ID:2437772

García-García, Antonio M.; Liu, Chang; Verbaarschot, Jacobus J. M.

Lyapunov exponent as a signature of dissipative many-body quantum chaos

Journal Article · 2024 · Physical Review. D. · OSTI ID:2474570

García-García, Antonio M.; Verbaarschot, Jacobus J. M.; Zheng, Jie-ping

Title: Sixfold Way of Traversable Wormholes in the Sachdev-Ye-Kitaev Model

Citation Formats

References (69)

Similar Records

Related Subjects