Fetching the paper…
Reading the bibliography…
To characterize the generic behavior of open quantum systems, we consider random, purely dissipative Liouvillians with a notion of locality.
1902
Earlier work this paper cites.
1902
Earlier work this paper cites.
1905
Earlier work this paper cites.
1910
Earlier work this paper cites.
Eugene P. Wigner, “Characteristic Vectors of Bordered Matrices With Infinite Dimensions,” Annals of Mathematics 62
1955
Earlier work this paper cites.
Jean Ginibre, “Statistical Ensembles of Complex, Quaternion, and Real Matrices,” Journal of Mathematical Physics 6
1965
Earlier work this paper cites.
Vittorio Gorini, Andrzej Kossakowski, and E. C. G. Sudarshan, “Completely positive dynamical semigroups of n‐level systems,” Journal of Mathematical Physics 17
1976
Earlier work this paper cites.
G. Lindblad, “On the generators of quantum dynamical semigroups,” Communications in Mathematical Physics 48
1976
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.
V. L. Girko, “Circular law,” Theory of Probability & Its Applications 29
1985
Cited alongside, same era.
W D Heiss and A L Sannino, “Avoided level crossing and exceptional points,” Journal of Physics A: Mathematical and General 23
1990
Cited alongside, same era.
J. M. Deutsch, “Quantum statistical mechanics in a closed system,” Phys. Rev. A 43
1991
Cited alongside, same era.
Mark Srednicki, “Chaos and quantum thermalization,” Phys. Rev. E 50
1994
Cited alongside, same era.
Mark Srednicki, “Thermal fluctuations in quantized chaotic systems,” J. Phys. A: Math. Gen. 29
1996
Cited alongside, same era.
A. Yu. Kitaev, A. H. Shen, and M. N. Vyalyi, Classical and Quantum Computation (American Mathematical Society, Boston, MA, USA, 2002)
Marcos Rigol, Vanja Dunjko, and Maxim Olshanii, “Thermalization and its mechanism for generic isolated quantum systems,” Nature 452
2008
Later among the works it cites.
Terence Tao and Van Vu, “Random matrices: the circular law,” Commun. Contemp. Math. 10
2008
Later among the works it cites.
Luca D’Alessio, Yariv Kafri, Anatoli Polkovnikov, and Marcos Rigol, “From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics,” Advances in Physics 65
2016
Later among the works it cites.
F. Borgonovi, F. M. Izrailev, L. F. Santos, and V. G. Zelevinsky, “Quantum chaos and thermalization in isolated systems of interacting particles,” Physics Reports 626
2016
Later among the works it cites.
Joshua M. Deutsch, “Eigenstate thermalization hypothesis,” Rep. Prog. Phys. 81
2018
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2002
Cited alongside, same era.
Heinz-Peter Breuer, Francesco Petruccione, et al. , The theory of open quantum systems (Oxford University Press on Demand, 2002)
2002
Cited alongside, same era.
Madan Lal Mehta, Random Matrices (Elsevier, 2004)
2004
Cited alongside, same era.
Vadim Oganesyan and David A. Huse, “Localization of interacting fermions at high temperature,” Phys. Rev. B 75
2007
Cited alongside, same era.
Freeman J. Dyson, “Statistical theory of the energy levels of complex systems. i,” Journal of Mathematical Physics 3
Cited in the paper.
Freeman J. Dyson, “Statistical theory of the energy levels of complex systems. ii,” Journal of Mathematical Physics 3
Cited in the paper.
Freeman J. Dyson, “Statistical theory of the energy levels of complex systems. iii,” Journal of Mathematical Physics 3
Cited in the paper.
Pavel Stránský, Martin Dvořák, and Pavel Cejnar, “Exceptional points near first- and second-order quantum phase transitions,” Phys. Rev. E 97
2018
Later among the works it cites.
Sergey Denisov, Tetyana Laptyeva, Wojciech Tarnowski, Dariusz Chruściński, and Karol Życzkowski, “Universal Spectra of Random Lindblad Operators,” Phys. Rev. Lett. 123
2019
Closest in time.
Zhenyu Xu, “Extreme Decoherence and Quantum Chaos,” Phys. Rev. Lett. 122
2019
Closest in time.
David J. Luitz and Francesco Piazza, “Exceptional points and the topology of quantum many-body spectra,” Phys. Rev. Research 1
2019
Closest in time.