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We show that non-Hermitian Ginibre random matrix behaviors emerge in spatially-extended many-body quantum chaotic systems in the space direction, just as Hermitian random matrix behaviors emerge in chaotic systems in the time direction.
R. Hamazaki, K. Kawabata, N. Kura, and M. Ueda, Universality classes of non-hermitian random matrices, Phys. Rev. Research 2
1904
Earlier work this paper cites.
B. Bertini, P. Kos, and T. Prosen, Exact correlation functions for dual-unitary lattice models in 1+1 dimensions, Phys. Rev. Lett. 123
1904
Earlier work this paper cites.
J. Ginibre, Statistical ensembles of complex, quaternion, and real matrices, Journal of Mathematical Physics 6
1965
Earlier work this paper cites.
O. Bohigas, M.-J. Giannoni, and C. Schmit, Characterization of chaotic quantum spectra and universality of level fluctuation laws, Physical Review Letters 52
1984
Earlier work this paper cites.
M. V. Berry, Semiclassical theory of spectral rigidity, Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences 400
1985
Earlier work this paper cites.
A. L. Altshuler and B. I. Shklovskii, Repulsion of energy levels and conductivity of small metal samples, JETP 64
1986
Earlier work this paper cites.
M. L. Mehta, Random Matrices (Academic Press, 2004)
2004
Earlier work this paper cites.
2009
Earlier work this paper cites.
2009
Earlier work this paper cites.
F. Haake, Quantum Signatures of Chaos (Springer, 2010)
2010
Earlier work this paper cites.
2012
Earlier work this paper cites.
G. Akemann and Z. Burda, Universal microscopic correlation functions for products of independent Ginibre matrices, J. Phys. A: Math. Theor. 45
2012
Earlier work this paper cites.
P. Ponte, Z. Papić, F. Huveneers, and D. A. Abanin, Many-body localization in periodically driven systems, Physical Review Letters 114
2015
Earlier work this paper cites.
A. Nahum, J. Ruhman, S. Vijay, and J. Haah, Quantum entanglement growth under random unitary dynamics, Phys. Rev. X 7
2017
Earlier work this paper cites.
2017
Earlier work this paper cites.
2017
Earlier work this paper cites.
J. S. Cotler, G. Gur-Ari, M. Hanada, J. Polchinski, P. Saad, S. H. Shenker, D. Stanford, A. Streicher, and M. Tezuka, Black holes and random matrices, Journal of High Energy Physics 2017
2017
Earlier work this paper cites.
J. Cotler, N. Hunter-Jones, J. Liu, and B. Yoshida, Chaos, complexity, and random matrices, Journal of High Energy Physics 2017
2017
Earlier work this paper cites.
Y. Li, X. Chen, and M. P. A. Fisher, Quantum zeno effect and the many-body entanglement transition, Phys. Rev. B 98
2018
Earlier work this paper cites.
A. Nahum, S. Vijay, and J. Haah, Operator spreading in random unitary circuits, Phys. Rev. X 8
2018
Cited alongside, same era.
C. W. von Keyserlingk, T. Rakovszky, F. Pollmann, and S. L. Sondhi, Operator hydrodynamics, otocs, and entanglement growth in systems without conservation laws, Phys. Rev. X 8
2018
Cited alongside, same era.
T. Rakovszky, F. Pollmann, and C. W. von Keyserlingk, Diffusive hydrodynamics of out-of-time-ordered correlators with charge conservation, Phys. Rev. X 8
2018
Cited alongside, same era.
H. Gharibyan, M. Hanada, S. H. Shenker, and M. Tezuka, Onset of random matrix behavior in scrambling systems, Journal of High Energy Physics 2018
2018
Cited alongside, same era.
A. Altland and D. Bagrets, Quantum ergodicity in the syk model, Nuclear Physics B 930
2018
Cited alongside, same era.
Y. Liao, A. Vikram, and V. Galitski, Many-body level statistics of single-particle quantum chaos, Phys. Rev. Lett. 125
2020
Later among the works it cites.
L. Sá, P. Ribeiro, and T. c. v. Prosen, Complex spacing ratios: A signature of dissipative quantum chaos, Phys. Rev. X 10
2020
Later among the works it cites.
B. Bertini, P. Kos, and T. Prosen, Operator Entanglement in Local Quantum Circuits I: Chaotic Dual-Unitary Circuits, SciPost Phys. 8
2020
Later among the works it cites.
A. Chan, A. De Luca, and J. T. Chalker, Spectral lyapunov exponents in chaotic and localized many-body quantum systems, Phys. Rev. Research 3
2021
Later among the works it cites.
S. Moudgalya, A. Prem, D. A. Huse, and A. Chan, Spectral statistics in constrained many-body quantum chaotic systems, Phys. Rev. Research 3
2021
Later among the works it cites.
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T. Zhou and A. Nahum, Emergent statistical mechanics of entanglement in random unitary circuits, Phys. Rev. B 99
2019
Cited alongside, same era.
B. Skinner, J. Ruhman, and A. Nahum, Measurement-induced phase transitions in the dynamics of entanglement, Phys. Rev. X 9
2019
Cited alongside, same era.
Y. Li, X. Chen, and M. P. A. Fisher, Measurement-driven entanglement transition in hybrid quantum circuits, Phys. Rev. B 100
2019
Cited alongside, same era.
A. J. Friedman, A. Chan, A. De Luca, and J. T. Chalker, Spectral statistics and many-body quantum chaos with conserved charge, Phys. Rev. Lett. 123
2019
Cited alongside, same era.
2019
Cited alongside, same era.
N. Hahn and D. Waltner, Dual approach to the spectral form factor, Acta Physica Polonica A 136
2019
Cited alongside, same era.
S. Gopalakrishnan and A. Lamacraft, Unitary circuits of finite depth and infinite width from quantum channels, Phys. Rev. B 100
2019
Cited alongside, same era.
M. Ippoliti and V. Khemani, Postselection-free entanglement dynamics via spacetime duality, Phys. Rev. Lett. 126
2021
Later among the works it cites.
2021
Later among the works it cites.
2021
Later among the works it cites.
2021
Later among the works it cites.
J. Li, T. c. v. Prosen, and A. Chan, Spectral statistics of non-hermitian matrices and dissipative quantum chaos, Phys. Rev. Lett. 127
2021
Later among the works it cites.
2021
Later among the works it cites.
A. Prakash, J. H. Pixley, and M. Kulkarni, Universal spectral form factor for many-body localization, Phys. Rev. Research 3
2021
Later among the works it cites.
A. Lerose, M. Sonner, and D. A. Abanin, Influence matrix approach to many-body floquet dynamics, Phys. Rev. X 11
2021
Later among the works it cites.
A. Chan, S. Shivam, D. A. Huse, and A. De Luca, Many-body quantum chaos and space-time translational invariance, Nature communications 13
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2022
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