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We compute the full probability distribution of the spectral form factor in the self-dual kicked Ising model by providing an exact lower bound for each moment and verifying numerically that the latter is saturated.
F. J. Dyson, Statistical Theory of the Energy Levels of Complex Systems. I , J. Math. Phys. 3
1962
Earlier work this paper cites.
M. V. Berry and M. Tabor, Level clustering in the regular spectrum , Proc. Royal Society of London. Series A, 356
1977
Earlier work this paper cites.
G. Casati, F. Valz-Gris, and I. Guarneri, On the connection between quantization of nonintegrable systems and statistical theory of spectra , Lett. Nuovo Cimento Soc. Ital. Fis. 28
1980
Earlier work this paper cites.
M. V. Berry, Quantizing a classically ergodic system: Sinai’s billiard and the KKR method , Ann. Phys. (N.Y.) 131
1981
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.
M. V. Berry, Semiclassical theory of spectral rigidity , Proc. R. Soc. Lond. A 400
1985
Earlier work this paper cites.
M. L. Mehta, Random Matrices and the Statistical Theory of Spectra , 2nd ed. (Academic, New York, 1991)
1991
Earlier work this paper cites.
G. Montambaux, D. Poilblanc, J. Bellissard, C. Sire, Quantum chaos in spin-fermion models , Phys. Rev. Lett. 70
1993
Earlier work this paper cites.
R. Prange, The Spectral Form Factor Is Not Self-Averaging , Phys. Rev. Lett. 78
1997
Earlier work this paper cites.
T. Prosen, Ergodic properties of a generic nonintegrable quantum many-body system in the thermodynamic limit , Phys. Rev. E 60
1999
Earlier work this paper cites.
H. Kunz, The probability distribution of the spectral form factor in random matrix theory , J. Phys. A: Math. Gen. 32
1999
Earlier work this paper cites.
F. Haake, Quantum Signatures of Chaos , 2nd ed. (Springer, 2001)
2001
Earlier work this paper cites.
M. Sieber and K. Richter, Correlations between periodic orbits and their role in spectral statistics , Phys. Scr. T 90
2001
Earlier work this paper cites.
E. Dueñez, Random Matrix Ensembles associated to Compact Symmetric Spaces , Ph.D thesis, Princeton University, 2001
2001
Earlier work this paper cites.
M. Sieber, Leading off-diagonal approximation for the spectral form factor for uniformly hyperbolic systems , J. Phys. A 35
2002
Cited alongside, same era.
S. Müller, S. Heusler, P. Braun, F. Haake and A. Altland, Semiclassical foundation of universality in quantum chaos , Phys. Rev. Lett. 93
2004
Cited alongside, same era.
E. Dueñez, Random Matrix Ensembles Associated to Compact Symmetric Spaces , Commun. Math. Phys. 244
2004
Cited alongside, same era.
S. Müller, S. Heusler, P. Braun, F. Haake and A. Altland, Periodic-orbit theory of universality in quantum chaos , Phys. Rev. E 72
2005
Cited alongside, same era.
K. Saito, T. Nagao, S. Müller, P. Braun, Semiclassical Theory for Universality in Quantum Chaos with Symmetry Crossover , J. Phys. A 42
2009
Cited alongside, same era.
A. J. Friedman, A. Chan, A. De Luca, J. T. Chalker, Spectral Statistics and Many-Body Quantum Chaos with Conserved Charge , Phys. Rev. Lett. 123
2019
Later among the works it cites.
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2019
Later among the works it cites.
B. Bertini, P. Kos, and T. Prosen, Entanglement Spreading in a Minimal Model of Maximal Many-Body Quantum Chaos , Phys. Rev. X 9
2019
Later among the works it cites.
S. Gopalakrishnan and A. Lamacraft, Unitary circuits of finite depth and infinite width from quantum channels , Phys. Rev. B 100
2019
Later among the works it cites.
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