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

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

doi:10.1103/PhysRevD.110.086010

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

Journal Article · Tue Oct 08 00:00:00 EDT 2024 · Physical Review. D.

DOI:https://doi.org/10.1103/PhysRevD.110.086010· OSTI ID:2474570

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

A distinct feature of Hermitian quantum chaotic dynamics is the exponential increase of certain out-of-time-order correlation (OTOC) functions around the Ehrenfest time with a rate given by a Lyapunov exponent. Physically, the OTOCs describe the growth of quantum uncertainty that crucially depends on the nature of the quantum motion. Here, we employ the OTOC in order to provide a precise definition of dissipative quantum chaos. For this purpose, we compute analytically the Lyapunov exponent for the vectorized formulation of the large- $q$ limit of a $q$ -body Sachdev-Ye-Kitaev model coupled to a Markovian bath. These analytic results are confirmed by an explicit numerical calculation of the Lyapunov exponent for several values of $q \geq 4$ based on the solutions of the Schwinger-Dyson and Bethe-Salpeter equations. We show that the Lyapunov exponent decreases monotonically as the coupling to the bath increases and eventually becomes negative at a critical value of the coupling signaling a transition to a dynamics which is no longer quantum chaotic. Therefore, a positive Lyapunov exponent is a defining feature of dissipative many-body quantum chaos. The observation of the breaking of the exponential growth for sufficiently strong coupling suggests that dissipative quantum chaos may require in certain cases a sufficiently weak coupling to the environment.

Published by the American Physical Society 2024

View Journal Article

Sponsoring Organization:: USDOE

OSTI ID:: 2474570

Journal Information:: Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 8 Vol. 110; ISSN PRVDAQ; ISSN 2470-0010

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

References (97)

On the generators of quantum dynamical semigroups Lindblad, G. Communications in Mathematical Physics, Vol. 48, Issue 2 https://doi.org/10.1007/BF01608499	journal	June 1976
Two dimensional nearly de Sitter gravity Maldacena, Juan; Turiaci, Gustavo J.; Yang, Zhenbin Journal of High Energy Physics, Vol. 2021, Issue 1 https://doi.org/10.1007/JHEP01(2021)139	journal	January 2021
Operator dynamics in Lindbladian SYK: a Krylov complexity perspective Bhattacharjee, Budhaditya; Nandy, Pratik; Pathak, Tanay Journal of High Energy Physics, Vol. 2024, Issue 1 https://doi.org/10.1007/JHEP01(2024)094	journal	January 2024
On the relation between the magnitude and exponent of OTOCs Gu, Yingfei; Kitaev, Alexei Journal of High Energy Physics, Vol. 2019, Issue 2 https://doi.org/10.1007/JHEP02(2019)075	journal	February 2019
Notes on the complex Sachdev-Ye-Kitaev model Gu, Yingfei; Kitaev, Alexei; Sachdev, Subir Journal of High Energy Physics, Vol. 2020, Issue 2 https://doi.org/10.1007/JHEP02(2020)157	journal	February 2020
Chaos exponents of SYK traversable wormholes Nosaka, Tomoki; Numasawa, Tokiro Journal of High Energy Physics, Vol. 2021, Issue 2 https://doi.org/10.1007/JHEP02(2021)150	journal	February 2021
Spectral form factor in the double-scaled SYK model Khramtsov, Mikhail; Lanina, Elena Journal of High Energy Physics, Vol. 2021, Issue 3 https://doi.org/10.1007/JHEP03(2021)031	journal	March 2021
Operator growth in open quantum systems: lessons from the dissipative SYK Bhattacharjee, Budhaditya; Cao, Xiangyu; Nandy, Pratik Journal of High Energy Physics, Vol. 2023, Issue 3 https://doi.org/10.1007/JHEP03(2023)054	journal	March 2023
On SYK traversable wormhole with imperfectly correlated disorders Nosaka, Tomoki; Numasawa, Tokiro Journal of High Energy Physics, Vol. 2023, Issue 4 https://doi.org/10.1007/JHEP04(2023)145	journal	April 2023
Chaos and complementarity in de Sitter space Aalsma, Lars; Shiu, Gary Journal of High Energy Physics, Vol. 2020, Issue 5 https://doi.org/10.1007/JHEP05(2020)152	journal	May 2020
Low-dimensional de Sitter quantum gravity Cotler, Jordan; Jensen, Kristan; Maloney, Alexander Journal of High Energy Physics, Vol. 2020, Issue 6 https://doi.org/10.1007/JHEP06(2020)048	journal	June 2020
Tunable quantum chaos in the Sachdev-Ye-Kitaev model coupled to a thermal bath Chen, Yiming; Zhai, Hui; Zhang, Pengfei Journal of High Energy Physics, Vol. 2017, Issue 7 https://doi.org/10.1007/JHEP07(2017)150	journal	July 2017
An inelastic bound on chaos Turiaci, Gustavo J. Journal of High Energy Physics, Vol. 2019, Issue 7 https://doi.org/10.1007/JHEP07(2019)099	journal	July 2019
A bound on chaos Maldacena, Juan; Shenker, Stephen H.; Stanford, Douglas Journal of High Energy Physics, Vol. 2016, Issue 8 https://doi.org/10.1007/JHEP08(2016)106	journal	August 2016
Operator size growth in Lindbladian SYK Liu, Jiasheng; Meyer, René; Xian, Zhuo-Yu Journal of High Energy Physics, Vol. 2024, Issue 8 https://doi.org/10.1007/JHEP08(2024)092	journal	August 2024
Exponential growth of out-of-time-order correlator without chaos: inverted harmonic oscillator Hashimoto, Koji; Huh, Kyoung-Bum; Kim, Keun-Young Journal of High Energy Physics, Vol. 2020, Issue 11 https://doi.org/10.1007/JHEP11(2020)068	journal	November 2020
Sparse SYK and traversable wormholes Cáceres, Elena; Misobuchi, Anderson; Pimentel, Rafael Journal of High Energy Physics, Vol. 2021, Issue 11 https://doi.org/10.1007/JHEP11(2021)015	journal	November 2021
Operator growth and Krylov construction in dissipative open quantum systems Bhattacharya, Aranya; Nandy, Pratik; Nath, Pingal Pratyush Journal of High Energy Physics, Vol. 2022, Issue 12 https://doi.org/10.1007/JHEP12(2022)081	journal	December 2022
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
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
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
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
Condition of stochasticity in quantum nonlinear systems Berman, G. P.; Zaslavsky, G. M. Physica A: Statistical Mechanics and its Applications, Vol. 91, Issue 3-4 https://doi.org/10.1016/0378-4371(78)90190-5	journal	May 1978
Power-law out of time order correlation functions in the SYK model Bagrets, Dmitry; Altland, Alexander; Kamenev, Alex Nuclear Physics B, Vol. 921 https://doi.org/10.1016/j.nuclphysb.2017.06.012	journal	August 2017
Nearly AdS2 sugra and the super-Schwarzian Förste, Stefan; Golla, Iris Physics Letters B, Vol. 771 https://doi.org/10.1016/j.physletb.2017.05.039	journal	August 2017
Field Theory of Non-Equilibrium Systems Kamenev, Alex https://doi.org/10.1017/CBO9781139003667	book	January 2011
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
Observation of parity-time symmetry breaking transitions in a dissipative Floquet system of ultracold atoms Li, Jiaming; Harter, Andrew K.; Liu, Ji Nature Communications, Vol. 10, Issue 1 https://doi.org/10.1038/s41467-019-08596-1	journal	February 2019
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
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
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
Statistical Ensembles of Complex, Quaternion, and Real Matrices Ginibre, Jean Journal of Mathematical Physics, Vol. 6, Issue 3 https://doi.org/10.1063/1.1704292	journal	March 1965
A short introduction to the Lindblad master equation Manzano, Daniel AIP Advances, Vol. 10, Issue 2 https://doi.org/10.1063/1.5115323	journal	February 2020
Completely positive dynamical semigroups of N-level systems Gorini, Vittorio Journal of Mathematical Physics, Vol. 17, Issue 5 https://doi.org/10.1063/1.522979	journal	January 1976
Non-Hermitian physics Ashida, Yuto; Gong, Zongping; Ueda, Masahito Advances in Physics, Vol. 69, Issue 3 https://doi.org/10.1080/00018732.2021.1876991	journal	July 2020
Keldysh field theory for driven open quantum systems Sieberer, L. M.; Buchhold, M.; Diehl, S. Reports on Progress in Physics, Vol. 79, Issue 9 https://doi.org/10.1088/0034-4885/79/9/096001	journal	August 2016
Fast scramblers Sekino, Yasuhiro; Susskind, L. Journal of High Energy Physics, Vol. 2008, Issue 10 https://doi.org/10.1088/1126-6708/2008/10/065	journal	October 2008
Chaotic dynamics of a non-Hermitian kicked particle Huang, Kai-qian; Wang, Jiaozi; Zhao, Wen-Lei Journal of Physics: Condensed Matter, Vol. 33, Issue 5 https://doi.org/10.1088/1361-648X/abbcf8	journal	November 2020
Spectral and steady-state properties of random Liouvillians Sá, Lucas; Ribeiro, Pedro; Prosen, Tomaž Journal of Physics A: Mathematical and Theoretical, Vol. 53, Issue 30 https://doi.org/10.1088/1751-8121/ab9337	journal	July 2020
Out-of-time-ordered correlation functions in open systems: A Feynman-Vernon influence functional approach Tuziemski, Jan Physical Review A, Vol. 100, Issue 6 https://doi.org/10.1103/PhysRevA.100.062106	journal	December 2019
Saddle-point scrambling without thermalization Kidd, R. A.; Safavi-Naini, A.; Corney, J. F. Physical Review A, Vol. 103, Issue 3 https://doi.org/10.1103/PhysRevA.103.033304	journal	March 2021
Information scrambling and chaos in open quantum systems Zanardi, Paolo; Anand, Namit Physical Review A, Vol. 103, Issue 6 https://doi.org/10.1103/PhysRevA.103.062214	journal	June 2021
Lyapunov growth in quantum spin chains Craps, Ben; De Clerck, Marine; Janssens, Djunes Physical Review B, Vol. 101, Issue 17 https://doi.org/10.1103/PhysRevB.101.174313	journal	May 2020
Out-of-time-ordered correlator in non-Hermitian quantum systems Zhai, Liang-Jun; Yin, Shuai Physical Review B, Vol. 102, Issue 5 https://doi.org/10.1103/PhysRevB.102.054303	journal	August 2020
Spectral transitions and universal steady states in random Kraus maps and circuits Sá, Lucas; Ribeiro, Pedro; Can, Tankut Physical Review B, Vol. 102, Issue 13 https://doi.org/10.1103/PhysRevB.102.134310	journal	October 2020
Lindbladian dynamics of the Sachdev-Ye-Kitaev model Kulkarni, Anish; Numasawa, Tokiro; Ryu, Shinsei Physical Review B, Vol. 106, Issue 7 https://doi.org/10.1103/PhysRevB.106.075138	journal	August 2022
Dynamical quantum phase transitions in Sachdev-Ye-Kitaev Lindbladians Kawabata, Kohei; Kulkarni, Anish; Li, Jiachen Physical Review B, Vol. 108, Issue 7 https://doi.org/10.1103/PhysRevB.108.075110	journal	August 2023
Operator growth hypothesis in open quantum systems Srivatsa, N. S.; von Keyserlingk, Curt Physical Review B, Vol. 109, Issue 12 https://doi.org/10.1103/PhysRevB.109.125149	journal	March 2024
Diagnosing non-Hermitian many-body localization and quantum chaos via singular value decomposition Roccati, Federico; Balducci, Federico; Shir, Ruth Physical Review B, Vol. 109, Issue 14 https://doi.org/10.1103/PhysRevB.109.L140201	journal	April 2024
Many-body localization edge in the random-field Heisenberg chain Luitz, David J.; Laflorencie, Nicolas; Alet, Fabien Physical Review B, Vol. 91, Issue 8 https://doi.org/10.1103/PhysRevB.91.081103	journal	February 2015
Out-of-time-ordered correlators in a quantum Ising chain Lin, Cheng-Ju; Motrunich, Olexei I. Physical Review B, Vol. 97, Issue 14 https://doi.org/10.1103/PhysRevB.97.144304	journal	April 2018
Out-of-time-order correlators in finite open systems Syzranov, S. V.; Gorshkov, A. V.; Galitski, V. Physical Review B, Vol. 97, Issue 16 https://doi.org/10.1103/PhysRevB.97.161114	journal	April 2018
Parity-time-symmetric topological superconductor Kawabata, Kohei; Ashida, Yuto; Katsura, Hosho Physical Review B, Vol. 98, Issue 8 https://doi.org/10.1103/PhysRevB.98.085116	journal	August 2018
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
Replica symmetry breaking in random non-Hermitian systems García-García, Antonio M.; Jia, Yiyang; Rosa, Dario Physical Review D, Vol. 105, Issue 12 https://doi.org/10.1103/PhysRevD.105.126027	journal	June 2022
Euclidean-to-Lorentzian wormhole transition and gravitational symmetry breaking in the Sachdev-Ye-Kitaev model García-García, Antonio M.; Godet, Victor; Yin, Can Physical Review D, Vol. 106, Issue 4 https://doi.org/10.1103/PhysRevD.106.046008	journal	August 2022
Non-Hermitian quantum system generated from two coupled Sachdev-Ye-Kitaev models Cai, Wenhe; Cao, Sizheng; Ge, Xian-Hui Physical Review D, Vol. 106, Issue 10 https://doi.org/10.1103/PhysRevD.106.106010	journal	November 2022
Universality and its limits in non-Hermitian many-body quantum chaos using the Sachdev-Ye-Kitaev model García-García, Antonio M.; Sá, Lucas; Verbaarschot, Jacobus J. M. Physical Review D, Vol. 107, Issue 6 https://doi.org/10.1103/PhysRevD.107.066007	journal	March 2023
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
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
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
Large q expansion in the Sachdev-Ye-Kitaev model Tarnopolsky, Grigory Physical Review D, Vol. 99, Issue 2 https://doi.org/10.1103/PhysRevD.99.026010	journal	January 2019
Positive quantum Lyapunov exponents in experimental systems with a regular classical limit Pilatowsky-Cameo, Saúl; Chávez-Carlos, Jorge; Bastarrachea-Magnani, Miguel A. Physical Review E, Vol. 101, Issue 1 https://doi.org/10.1103/PhysRevE.101.010202	journal	January 2020
Quantum Lyapunov exponent in dissipative systems Bergamasco, Pablo D.; Carlo, Gabriel G.; Rivas, Alejandro M. F. Physical Review E, Vol. 108, Issue 2 https://doi.org/10.1103/PhysRevE.108.024208	journal	August 2023
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
Semiclassical theory of out-of-time-order correlators for low-dimensional classically chaotic systems Jalabert, Rodolfo A.; García-Mata, Ignacio; Wisniacki, Diego A. Physical Review E, Vol. 98, Issue 6 https://doi.org/10.1103/PhysRevE.98.062218	journal	December 2018
Holographic Metals and the Fractionalized Fermi Liquid Sachdev, Subir Physical Review Letters, Vol. 105, Issue 15 https://doi.org/10.1103/PhysRevLett.105.151602	journal	October 2010
Enhancing the Sensitivity of Frequency and Energy Splitting Detection by Using Exceptional Points: Application to Microcavity Sensors for Single-Particle Detection Wiersig, Jan Physical Review Letters, Vol. 112, Issue 20 https://doi.org/10.1103/PhysRevLett.112.203901	journal	May 2014
Information Retrieval and Criticality in Parity-Time-Symmetric Systems Kawabata, Kohei; Ashida, Yuto; Ueda, Masahito Physical Review Letters, Vol. 119, Issue 19 https://doi.org/10.1103/PhysRevLett.119.190401	journal	November 2017
Quantum and Classical Lyapunov Exponents in Atom-Field Interaction Systems Chávez-Carlos, Jorge; López-del-Carpio, B.; Bastarrachea-Magnani, Miguel A. Physical Review Letters, Vol. 122, Issue 2 https://doi.org/10.1103/PhysRevLett.122.024101	journal	January 2019
Reversible Quantum Information Spreading in Many-Body Systems near Criticality Hummel, Quirin; Geiger, Benjamin; Urbina, Juan Diego Physical Review Letters, Vol. 123, Issue 16 https://doi.org/10.1103/PhysRevLett.123.160401	journal	October 2019
Does Scrambling Equal Chaos? Xu, Tianrui; Scaffidi, Thomas; Cao, Xiangyu Physical Review Letters, Vol. 124, Issue 14 https://doi.org/10.1103/PhysRevLett.124.140602	journal	April 2020
Many-Body Chaos in the Sachdev-Ye-Kitaev Model Kobrin, Bryce; Yang, Zhenbin; Kahanamoku-Meyer, Gregory D. Physical Review Letters, Vol. 126, Issue 3 https://doi.org/10.1103/PhysRevLett.126.030602	journal	January 2021
Measurement-Induced Phase Transition in the Monitored Sachdev-Ye-Kitaev Model Jian, Shao-Kai; Liu, Chunxiao; Chen, Xiao Physical Review Letters, Vol. 127, Issue 14 https://doi.org/10.1103/PhysRevLett.127.140601	journal	September 2021
Spectral Statistics of Non-Hermitian Matrices and Dissipative Quantum Chaos Li, Jiachen; Prosen, Tomaž; Chan, Amos Physical Review Letters, Vol. 127, Issue 17 https://doi.org/10.1103/PhysRevLett.127.170602	journal	October 2021
Dynamical Transition of Operator Size Growth in Quantum Systems Embedded in an Environment Zhang, Pengfei; Yu, Zhenhua Physical Review Letters, Vol. 130, Issue 25 https://doi.org/10.1103/PhysRevLett.130.250401	journal	June 2023
Operator Growth in Open Quantum Systems Schuster, Thomas; Yao, Norman Y. Physical Review Letters, Vol. 131, Issue 16 https://doi.org/10.1103/PhysRevLett.131.160402	journal	October 2023
Scrambling Transition in a Radiative Random Unitary Circuit Weinstein, Zack; Kelly, Shane P.; Marino, Jamir Physical Review Letters, Vol. 131, Issue 22 https://doi.org/10.1103/PhysRevLett.131.220404	journal	November 2023
Influence of Dissipation on Quantum Tunneling in Macroscopic Systems Caldeira, A. O.; Leggett, A. J. Physical Review Letters, Vol. 46, Issue 4 https://doi.org/10.1103/PhysRevLett.46.211	journal	January 1981
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
Quantum Distinction of Regular and Chaotic Dissipative Motion Grobe, Rainer; Haake, Fritz; Sommers, Hans-Jürgen Physical Review Letters, Vol. 61, Issue 17 https://doi.org/10.1103/PhysRevLett.61.1899	journal	October 1988
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
Almost Hermitian Random Matrices: Crossover from Wigner-Dyson to Ginibre Eigenvalue Statistics Fyodorov, Yan V.; Khoruzhenko, Boris A.; Sommers, Hans-Jürgen Physical Review Letters, Vol. 79, Issue 4 https://doi.org/10.1103/PhysRevLett.79.557	journal	July 1997
Real Spectra in Non-Hermitian Hamiltonians Having P T Symmetry Bender, Carl M.; Boettcher, Stefan Physical Review Letters, Vol. 80, Issue 24 https://doi.org/10.1103/PhysRevLett.80.5243	journal	June 1998
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
Lindbladian dissipation of strongly-correlated quantum matter Sá, Lucas; Ribeiro, Pedro; Prosen, Tomaž Physical Review Research, Vol. 4, Issue 2 https://doi.org/10.1103/PhysRevResearch.4.L022068	journal	June 2022
Quantum Information Scrambling on a Superconducting Qutrit Processor Blok, M. S.; Ramasesh, V. V.; Schuster, T. Physical Review X, Vol. 11, Issue 2 https://doi.org/10.1103/PhysRevX.11.021010	journal	April 2021
Symmetry Classes of Open Fermionic Quantum Matter Altland, Alexander; Fleischhauer, Michael; Diehl, Sebastian Physical Review X, Vol. 11, Issue 2 https://doi.org/10.1103/PhysRevX.11.021037	journal	May 2021
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
Disentangling Scrambling and Decoherence via Quantum Teleportation Yoshida, Beni; Yao, Norman Y. Physical Review X, Vol. 9, Issue 1 https://doi.org/10.1103/PhysRevX.9.011006	journal	January 2019
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
Spectral and steady-state properties of fermionic random quadratic Liouvillians Costa, João; Ribeiro, Pedro; De Luca, Andrea SciPost Physics, Vol. 15, Issue 4 https://doi.org/10.21468/SciPostPhys.15.4.145	journal	October 2023
From integrability to chaos in quantum Liouvillians Rubio-García, Alvaro; Molina, Rafael; Dukelsky, Jorge SciPost Physics Core, Vol. 5, Issue 2 https://doi.org/10.21468/scipostphyscore.5.2.026	journal	May 2022
Emergent Replica Conformal Symmetry in Non-Hermitian SYK 2 Chains Zhang, Pengfei; Jian, Shao-Kai; Liu, Chunxiao Quantum, Vol. 5 https://doi.org/10.22331/q-2021-11-16-579	journal	November 2021
Out-of-time-order correlations and quantum chaos GarcÃÂa-Mata, Ignacio; Jalabert, Rodolfo; Wisniacki, Diego Scholarpedia, Vol. 18, Issue 4 https://doi.org/10.4249/scholarpedia.55237	journal	January 2023

Similar Records

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

Journal Article · Mon Aug 26 00:00:00 EDT 2024 · Physical Review Letters · OSTI ID:2437772

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

Journal Article · Wed Feb 07 23:00:00 EST 2024 · Physical Review Letters · OSTI ID:2293634

{}^{3}{P_{0}}

model revisited

Journal Article · Wed Apr 30 00:00:00 EDT 2025 · Physical Review. D. · OSTI ID:2563757

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

Citation Formats

References (97)

Similar Records

Related Subjects