Fetching the paper…
Reading the bibliography…
Spectral correlations are a powerful tool to study the dynamics of quantum many-body systems.
E. Wigner, On the statistical distribution of the widths and spacings of nuclear resonance levels, Math. Proc. Cam. Phil. Soc. 49
1951
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.
A. Larkin and Y. N. Ovchinnikov, Quasiclassical method in the theory of superconductivity, Sov Phys JETP 28
1969
Earlier work this paper cites.
J. French and S. Wong, Validity of random matrix theories for many-particle systems, Physics Letters B 33
1970
Earlier work this paper cites.
J. French and S. Wong, Some random-matrix level and spacing distributions for fixed-particle-rank interactions, Physics Letters B 35
1971
Earlier work this paper cites.
K. Mon and J. French, Statistical properties of many-particle spectra, Annals of Physics 95
1975
Earlier work this paper cites.
M. V. Berry and M. Tabor, Level clustering in the regular spectrum, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences 356
1977
Earlier work this paper cites.
G. Berman and G. Zaslavsky, Condition of stochasticity in quantum nonlinear systems, Physica A: Statistical Mechanics and its Applications 91
1978
Earlier work this paper cites.
B. Jancovici, Exact results for the two-dimensional one-component plasma, Phys. Rev. Lett. 46
1981
Earlier work this paper cites.
T. A. Brody, J. Flores, J. B. French, P. A. Mello, A. Pandey, and S. S. M. Wong, Random-matrix physics: spectrum and strength fluctuations, Rev. Mod. Phys. 53
1981
Earlier work this paper cites.
C. Teitelboim, Gravitation and hamiltonian structure in two spacetime dimensions, Physics Letters B 126
1983
Earlier work this paper cites.
O. Bohigas, M. J. Giannoni, and C. Schmit, Characterization of chaotic quantum spectra and universality of level fluctuation laws, Phys. Rev. Lett. 52
1984
Earlier work this paper cites.
R. Jackiw, Lower dimensional gravity, Nuclear Physics B 252
1985
Earlier work this paper cites.
J. J. M. Verbaarschot, H. A. Weidenmuller, and M. R. Zirnbauer, Grassmann Integration in Stochastic Quantum Physics: The Case of Compound Nucleus Scattering, Phys. Rept. 129
1985
Earlier work this paper cites.
I. Barbour, N.-E. Behilil, E. Dagotto, F. Karsch, A. Moreo, M. Stone, and H. W. Wyld, Problems with Finite Density Simulations of Lattice QCD, Nucl. Phys. B 275
1986
Earlier work this paper cites.
B. Altshuler, I. Zarekeshev, S. Kotochigova, and B. Shklovskii, Repulsion between energy levels and the metal-insulator transition, Sov. Phys. JETP [Zh. Eksp. Teor. Fiz. 94, 343] 67
1988
Earlier work this paper cites.
E. Shuryak and J. Verbaarschot, Random matrix theory and spectral sum rules for the Dirac operator in QCD, Nuclear Physics A 560
1993
Earlier work this paper cites.
J. J. M. Verbaarschot and I. Zahed, Spectral density of the QCD Dirac operator near zero virtuality, Phys. Rev. Lett. 70
1993
Earlier work this paper cites.
S. Sachdev and J. Ye, Gapless spin-fluid ground state in a random quantum Heisenberg magnet, Phys. Rev. Lett. 70
1993
Earlier work this paper cites.
D. N. Page, Information in black hole radiation, Phys. Rev. Lett. 71
1993
Earlier work this paper cites.
M. R. Zirnbauer, Riemannian symmetric superspaces and their origin in random-matrix theory, J. Math. Phys. 37
1996
Earlier work this paper cites.
N. Hatano and D. R. Nelson, Localization Transitions in Non-Hermitian Quantum Mechanics, Phys. Rev. Lett. 77
1996
Earlier work this paper cites.
A. Altland and M. R. Zirnbauer, Nonstandard symmetry classes in mesoscopic normal-superconducting hybrid structures, Phys. Rev. B 55
1997
Earlier work this paper cites.
A. M. Halasz, J. C. Osborn, and J. J. M. Verbaarschot, Random matrix triality at nonzero chemical potential, Phys. Rev. D 56
1997
Earlier work this paper cites.
Y. V. Fyodorov, B. A. Khoruzhenko, and H.-J. Sommers, Almost Hermitian Random Matrices: Crossover from Wigner-Dyson to Ginibre Eigenvalue Statistics, Physical Review Letters 79
1997
Earlier work this paper cites.
C. M. Bender and S. Boettcher, Real Spectra in Non-Hermitian Hamiltonians Having P T PT Symmetry, Phys. Rev. Lett. 80
1998
Earlier work this paper cites.
D. Lévesque, J. Weis, and J. Lebowitz, Charge fluctuations in the two-dimensional one-component plasma, Journal of Statistical Physics 100
1999
Earlier work this paper cites.
Y. Alhassid, The statistical theory of quantum dots, Reviews of Modern Physics 72
2000
Earlier work this paper cites.
D. Bernard and A. LeClair, A Classification of Non-Hermitian Random Matrices, Statistical Field Theories , 207 (2002)
2002
Earlier work this paper cites.
Y. V. Fyodorov and H.-J. Sommers, Random matrices close to Hermitian or unitary: overview of methods and results, Journal of Physics A: Mathematical and General 36
2003
Earlier work this paper cites.
J. C. Osborn, Universal Results from an Alternate Random-Matrix Model for QCD with a Baryon Chemical Potential, Phys. Rev. Lett. 93
2004
Earlier work this paper cites.
G. Akemann, The complex Laguerre symplectic ensemble of non-Hermitian matrices, Nuclear Physics B 730
2005
Cited alongside, same era.
J. J. M. Verbaarschot, QCD, chiral random matrix theory and integrability, in NATO Advanced Study Institute: Marie Curie Training Course: Applications of Random Matrices in Physics (2005) arXiv:hep-th/0502029
2005
Cited alongside, same era.
V. Oganesyan and D. A. Huse, Localization of interacting fermions at high temperature, Phys. Rev. B 75
2007
Cited alongside, same era.
U. Magnea, Random matrices beyond the Cartan classification, Journal of Physics A: Mathematical and Theoretical 41
2008
Cited alongside, same era.
W. Bruzda, V. Cappellini, H.-J. Sommers, and K. Życzkowski, Random quantum operations, Phys. Lett. A 373
2009
Cited alongside, same era.
T. Can, Random Lindblad dynamics, J. Phys. A: Math. Theor. 52
2019
Later among the works it cites.
T. Can, V. Oganesyan, D. Orgad, and S. Gopalakrishnan, Spectral gaps and midgap states in random quantum master equations, Phys. Rev. Lett. 123
2019
Later among the works it cites.
G. Akemann, M. Kieburg, A. Mielke, and T. Prosen, Universal signature from integrability to chaos in dissipative open quantum systems, Phys. Rev. Lett. 123
2019
Later among the works it cites.
Z. Xu, L. P. Garc\́mathrm{i}a-Pintos, A. Chenu, and A. del Campo, Extreme decoherence and quantum chaos, Phys. Rev. Lett. 122
2019
Later among the works it cites.
K. Kawabata, K. Shiozaki, M. Ueda, and M. Sato, Symmetry and Topology in Non-Hermitian Physics, Phys. Rev. X 9
2019
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
C. Timm, Random transition-rate matrices for the master equation, Phys. Rev. E 80
2009
Cited alongside, same era.
W. Bruzda, M. Smaczyński, V. Cappellini, H.-J. Sommers, and K. Życzkowski, Universality of spectra for interacting quantum chaotic systems, Phys. Rev. E 81
2010
Cited alongside, same era.
M. R. Zirnbauer, Symmetry Classes, (2010), arXiv:1001.0722 [math-ph]
2010
Cited alongside, same era.
G. Akemann, Non-Hermitian Extensions of Wishart Random Matrix Ensembles, Acta Physica Polonica B 42
2011
Cited alongside, same era.
2012
Cited alongside, same era.
Y. Y. Atas, E. Bogomolny, O. Giraud, and G. Roux, Distribution of the ratio of consecutive level spacings in random matrix ensembles, Phys. Rev. Lett. 110
2013
Cited alongside, same era.
V. K. B. Kota, Embedded random matrix ensembles in quantum physics , Vol. 884 (Springer, 2014)
2014
Cited alongside, same era.
A. B. Jaiswal, A. Pandey, and R. Prakash, Universality classes of quantum chaotic dissipative systems, EPL (Europhysics Letters) 127
2019
Later among the works it cites.
B. Lacroix-A-Chez-Toine, S. N. Majumdar, and G. Schehr, Rotating trapped fermions in two dimensions and the complex Ginibre ensemble: Exact results for the entanglement entropy and number variance, Phys. Rev. A 99
2019
Later among the works it cites.
H. Zhou and J. Y. Lee, Periodic table for topological bands with non-Hermitian symmetries, Phys. Rev. B 99
2019
Later among the works it cites.
F. Sun and J. Ye, Periodic table of the ordinary and supersymmetric sachdev-ye-kitaev models, Phys. Rev. Lett. 124
2020
Later among the works it cites.
K. Wang, F. Piazza, and D. J. Luitz, Hierarchy of relaxation timescales in local random Liouvillians, Phys. Rev. Lett. 124
2020
Later among the works it cites.
R. Hamazaki, K. Kawabata, N. Kura, and M. Ueda, Universality classes of non-hermitian random matrices, Phys. Rev. Research 2
2020
Later among the works it cites.
T. Peron, B. M. F. de Resende, F. A. Rodrigues, L. d. F. Costa, and J. A. Méndez-Bermúdez, Spacing ratio characterization of the spectra of directed random networks, Phys. Rev. E 102
2020
Later among the works it cites.
S. Lieu, M. McGinley, and N. R. Cooper, Tenfold Way for Quadratic Lindbladians, Phys. Rev. Lett. 124
2020
Later among the works it cites.
A. M. Garc\́mathrm{i}a-Garc\́mathrm{i}a and V. Godet, Euclidean wormhole in the Sachdev-Ye-Kitaev model, Phys. Rev. D 103
2021
Closest in time.
T. Kanazawa and T. Wettig, New universality classes of the non-Hermitian Dirac operator in QCD-like theories, Phys. Rev. D 104
2021
Closest in time.
O. E. Sommer, F. Piazza, and D. J. Luitz, Many-body hierarchy of dissipative timescales in a quantum computer, Phys. Rev. Research 3
2021
Closest in time.
S. Lange and C. Timm, Random-matrix theory for the Lindblad master equation, Chaos: An Interdisciplinary Journal of Nonlinear Science 31
2021
Closest in time.
W. Tarnowski, I. Yusipov, T. Laptyeva, S. Denisov, D. Chruściński, and K. Życzkowski, Random generators of Markovian evolution: A quantum-classical transition by superdecoherence, Phys. Rev. E 104
2021
Closest in time.
R. Kukulski, I. Nechita, Ł. Pawela, Z. Puchała, and K. Życzkowski, Generating random quantum channels, Journal of Mathematical Physics 62
2021
Closest in time.
A. Altland, M. Fleischhauer, and S. Diehl, Symmetry classes of open fermionic quantum matter, Phys. Rev. X 11
2021
Closest in time.
L. Sá, P. Ribeiro, and T. Prosen, Integrable nonunitary open quantum circuits, Phys. Rev. B 103
2021
Closest in time.
2021
Closest in time.
J. Li, T. Prosen, and A. Chan, Spectral statistics of non-hermitian matrices and dissipative quantum chaos, Phys. Rev. Lett. 127
2021
Closest in time.
P. Zhang, S.-K. Jian, C. Liu, and X. Chen, Emergent Replica Conformal Symmetry in Non-Hermitian SYK 2 Chains, Quantum 5
2021
Closest in time.
C. Liu, P. Zhang, and X. Chen, Non-unitary dynamics of Sachdev-Ye-Kitaev chain, SciPost Physics 10
2021
Closest in time.
Y. Ashida, Z. Gong, and M. Ueda, Non-Hermitian physics, Advances in Physics 69
2021
Closest in time.
L. Sá and A. M. Garc\́mathrm{i}a-Garc\́mathrm{i}a, q q -laguerre spectral density and quantum chaos in the wishart-sachdev-ye-kitaev model, Phys. Rev. D 105
2022
Closest in time.
A. Rubio-García, R. A. Molina, and J. Dukelsky, From integrability to chaos in quantum Liouvillians, SciPost Phys. Core 5
2022
Closest in time.
A. M. Garc\́mathrm{i}a-Garc\́mathrm{i}a, Y. Jia, D. Rosa, and J. J. M. Verbaarschot, Dominance of replica off-diagonal configurations and phase transitions in a p t pt symmetric sachdev-ye-kitaev model, Phys. Rev. Lett. 128
2022
Closest in time.
I. G. Dusa and T. Wettig, Approximation formula for complex spacing ratios in the ginibre ensemble, Phys. Rev. E 105
2022
Closest in time.