Fetching the paper…
Reading the bibliography…
We propose a measure, which we call the dissipative spectral form factor (DSFF), to characterize the spectral statistics of non-Hermitian (and non-Unitary) matrices.
1905
Earlier work this paper cites.
1910
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.
M. V. Berry and M. Tabor, “Level clustering in the regular spectrum,” Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences 356
1977
Earlier work this paper cites.
Marc Baus and Jean-Pierre Hansen, “Statistical mechanics of simple coulomb systems,” Physics Reports 59
1980
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.
Oriol Bohigas, Marie-Joya Giannoni, and Charles Schmit, “Characterization of chaotic quantum spectra and universality of level fluctuation laws,” Physical Review Letters 52
1984
Earlier work this paper cites.
F. Haake, M. Kuś, and R. Scharf, “Classical and quantum chaos for a kicked top,” Zeitschrift für Physik B Condensed Matter 65
1987
Earlier work this paper cites.
Rainer Grobe, Fritz Haake, and Hans-Jürgen Sommers, “Quantum distinction of regular and chaotic dissipative motion,” Phys. Rev. Lett. 61
1988
Earlier work this paper cites.
F. Borgonovi, I. Guarneri, and D. L. Shepelyansky, “Statistics of quantum lifetimes in a classically chaotic system,” Phys. Rev. A 43
1991
Earlier work this paper cites.
Nils Lehmann and Hans-Jürgen Sommers, “Eigenvalue statistics of random real matrices,” Phys. Rev. Lett. 67
1991
Earlier work this paper cites.
Howard Carmichael, “An Open Systems Approach to Quantum Optics,” Lecture Notes in Physics Monographs 18
1993
Earlier work this paper cites.
A V Smilga, Continuous Advances in QCD (WORLD SCIENTIFIC, 1995) https://www.worldscientific.com/doi/pdf/10.1142/2435
1995
Earlier work this paper cites.
C. W. J. Beenakker, “Random-matrix theory of quantum transport,” Rev. Mod. Phys. 69
1997
Earlier work this paper cites.
Nimrod Moiseyev, “Quantum theory of resonances: calculating energies, widths and cross-sections by complex scaling,” Physics Reports 302
1998
Earlier work this paper cites.
M. A. Nielsen, “Conditions for a class of entanglement transformations,” Phys. Rev. Lett. 83
1999
Earlier work this paper cites.
Gregor Tanner, “Spectral statistics for unitary transfer matrices of binary graphs,” Journal of Physics A: Mathematical and General 33
2000
Earlier work this paper cites.
M. A. Nielsen, “Probability distributions consistent with a mixed state,” Phys. Rev. A 62
2000
Earlier work this paper cites.
Gregor Tanner, “Unitary-stochastic matrix ensembles and spectral statistics,” Journal of Physics A: Mathematical and General 34
2001
Earlier work this paper cites.
K. Hammerer, G. Vidal, and J. I. Cirac, “Characterization of nonlocal gates,” Phys. Rev. A 66
2002
Earlier work this paper cites.
Denis Bernard and André LeClair, “A classification of non-hermitian random matrices,” in Statistical Field Theories , edited by Andrea Cappelli and Giuseppe Mussardo (Springer Netherlands, Dordrecht, 2002) pp. 207–214
2002
Earlier work this paper cites.
Salvatore Torquato and Frank H. Stillinger, “Local density fluctuations, hyperuniformity, and order metrics,” Phys. Rev. E 68
2003
Earlier work this paper cites.
Karol Zyczkowski, Marek Kus, Wojciech S omczy ski, and Hans-J rgen Sommers, “Random unistochastic matrices,” Journal of Physics A: Mathematical and General 36
2003
Earlier work this paper cites.
M. L. Mehta, Random Matrices (Academic Press, 2004)
2004
Earlier work this paper cites.
Antonia M. Tulino and Sergio Verdú, “Random matrix theory and wireless communications,” Foundations and Trends® in Communications and Information Theory 1
2004
Earlier work this paper cites.
J. G. Muga, J. P. Palao, B. Navarro, and I. L. Egusquiza, “Complex absorbing potentials,” Physics Reports 395
2004
Earlier work this paper cites.
Greg A. Smith, Souma Chaudhury, Andrew Silberfarb, Ivan H. Deutsch, and Poul S. Jessen, “Continuous weak measurement and nonlinear dynamics in a cold spin ensemble,” Phys. Rev. Lett. 93
2004
Earlier work this paper cites.
2005
Earlier work this paper cites.
Thomas Gorin, Tomaž Prosen, Thomas H. Seligman, and Marko Žnidarič, “Dynamics of loschmidt echoes and fidelity decay,” Physics Reports 435
2006
Earlier work this paper cites.
Sven Gnutzmann and Uzy Smilansky, “Quantum graphs: Applications to quantum chaos and universal spectral statistics,” Advances in Physics 55
2006
Earlier work this paper cites.
Carl M Bender, “Making sense of non-hermitian hamiltonians,” Reports on Progress in Physics 70
2007
Earlier work this paper cites.
Peter J. Forrester and Taro Nagao, “Eigenvalue statistics of the real ginibre ensemble,” Phys. Rev. Lett. 99
2007
Earlier work this paper cites.
Gernot Akemann and Eugene Kanzieper, “Integrable structure of ginibre’s ensemble of real random matrices and a pfaffian integration theorem,” Journal of Statistical Physics 129
2007
Earlier work this paper cites.
Manfred Schroeder, Number Theory in Science and Communication: With Applications in Cryptography, Physics, Digital Information, Computing, and Self-Similarity , 5th ed. (Springer Publishing Company, Incorporated, 2008)
2008
Cited alongside, same era.
2008
Cited alongside, same era.
Hans-Jürgen Sommers and Waldemar Wieczorek, “General eigenvalue correlations for the real ginibre ensemble,” Journal of Physics A: Mathematical and Theoretical 41
2008
Cited alongside, same era.
Ulrika Magnea, “Random matrices beyond the cartan classification,” Journal of Physics A: Mathematical and Theoretical 41
2008
Cited alongside, same era.
Gernot Akemann, “Random matrix theory and quantum chromodynamics,” Oxford Scholarship Online (2018), 10.1093/oso/9780198797319.003.0005
2018
Later among the works it cites.
Ramy El-Ganainy, Konstantinos G. Makris, Mercedeh Khajavikhan, Ziad H. Musslimani, Stefan Rotter, and Demetrios N. Christodoulides, “Non-hermitian physics and pt symmetry,” Nature Physics 14
2018
Later among the works it cites.
Pavel Kos, Marko Ljubotina, and Toma ž Prosen, “Many-body quantum chaos: Analytic connection to random matrix theory,” Phys. Rev. X 8
2018
Later among the works it cites.
Bruno Bertini, Pavel Kos, and Tomaž Prosen, “Exact spectral form factor in a minimal model of many-body quantum chaos,” Physical review letters 121
2018
Later among the works it cites.
Hrant Gharibyan, Masanori Hanada, Stephen H. Shenker, and Masaki Tezuka, “Onset of random matrix behavior in scrambling systems,” Journal of High Energy Physics 2018
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2009
Cited alongside, same era.
2009
Cited alongside, same era.
A. Borodin and C. D. Sinclair, “The ginibre ensemble of real random matrices and its scaling limits,” Communications in Mathematical Physics 291
2009
Cited alongside, same era.
Hui Deng, Hartmut Haug, and Yoshihisa Yamamoto, “Exciton-polariton bose-einstein condensation,” Rev. Mod. Phys. 82
2010
Cited alongside, same era.
F. Haake, Quantum Signatures of Chaos (Springer, 2010)
2010
Cited alongside, same era.
Michael A. Nielsen and Isaac L. Chuang, Quantum Computation and Quantum Information: 10th Anniversary Edition (Cambridge University Press, 2010)
2010
Cited alongside, same era.
T Chou, K Mallick, and R K P Zia, “Non-equilibrium statistical mechanics: from a paradigmatic model to biological transport,” Reports on Progress in Physics 74
2011
Cited alongside, same era.
2011
Cited alongside, same era.
2018
Later among the works it cites.
Salvatore Torquato, “Hyperuniform states of matter,” Physics Reports 745
2018
Later among the works it cites.
Yaodong Li, Xiao Chen, and Matthew P. A. Fisher, “Quantum zeno effect and the many-body entanglement transition,” Physical Review B 98
2018
Later among the works it cites.
Junyu Liu, “Spectral form factors and late time quantum chaos,” Phys. Rev. D 98
2018
Later among the works it cites.
Ş K. Özdemir, S. Rotter, F. Nori, and L. Yang, “Parity–time symmetry and exceptional points in photonics,” Nature Materials 18
2019
Later among the works it cites.
Gernot Akemann, Mario Kieburg, Adam Mielke, and Toma ž Prosen, “Universal signature from integrability to chaos in dissipative open quantum systems,” Phys. Rev. Lett. 123
2019
Later among the works it cites.
Tankut Can, “Random lindblad dynamics,” Journal of Physics A: Mathematical and Theoretical 52
2019
Later among the works it cites.
Tankut Can, Vadim Oganesyan, Dror Orgad, and Sarang Gopalakrishnan, “Spectral gaps and midgap states in random quantum master equations,” Phys. Rev. Lett. 123
2019
Later among the works it cites.
Sergey Denisov, Tetyana Laptyeva, Wojciech Tarnowski, Dariusz Chruściński, and Karol Życzkowski, “Universal spectra of random lindblad operators,” Physical Review Letters 123
2019
Later among the works it cites.
Ryusuke Hamazaki, Kohei Kawabata, and Masahito Ueda, “Non-hermitian many-body localization,” Phys. Rev. Lett. 123
2019
Later among the works it cites.
Aaron J. Friedman, Amos Chan, Andrea De Luca, and J. T. Chalker, “Spectral statistics and many-body quantum chaos with conserved charge,” Phys. Rev. Lett. 123
2019
Later among the works it cites.
2019
Later among the works it cites.
Kohei Kawabata, Ken Shiozaki, Masahito Ueda, and Masatoshi Sato, “Symmetry and topology in non-hermitian physics,” Phys. Rev. X 9
2019
Later among the works it cites.
Brian Skinner, Jonathan Ruhman, and Adam Nahum, “Measurement-induced phase transitions in the dynamics of entanglement,” Physical Review X 9
2019
Later among the works it cites.
Yaodong Li, Xiao Chen, and Matthew P. A. Fisher, “Measurement-driven entanglement transition in hybrid quantum circuits,” Physical Review B 100
2019
Later among the works it cites.
Amos Chan, Rahul M. Nandkishore, Michael Pretko, and Graeme Smith, “Unitary-projective entanglement dynamics,” Phys. Rev. B 99
2019
Later among the works it cites.
Lucas Sá, Pedro Ribeiro, Tankut Can, and Toma ž Prosen, “Spectral transitions and universal steady states in random kraus maps and circuits,” Phys. Rev. B 102
2020
Later among the works it cites.
Kevin Wang, Francesco Piazza, and David J. Luitz, “Hierarchy of relaxation timescales in local random liouvillians,” Phys. Rev. Lett. 124
2020
Later among the works it cites.
Yi Huang and B. I. Shklovskii, “Anderson transition in three-dimensional systems with non-hermitian disorder,” Phys. Rev. B 101
2020
Later among the works it cites.
A. F. Tzortzakakis, K. G. Makris, and E. N. Economou, “Non-hermitian disorder in two-dimensional optical lattices,” Phys. Rev. B 101
2020
Later among the works it cites.
Thomas Peron, Bruno Messias F. de Resende, Francisco A. Rodrigues, Luciano da 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.
Jan Šuntajs, Janez Bonča, Tomaž Prosen, and Lev Vidmar, “Quantum chaos challenges many-body localization,” Physical Review E 102
2020
Later among the works it cites.
Ryusuke Hamazaki, Kohei Kawabata, Naoto Kura, and Masahito Ueda, “Universality classes of non-hermitian random matrices,” Physical Review Research 2
2020
Later among the works it cites.
Yimu Bao, Soonwon Choi, and Ehud Altman, “Theory of the phase transition in random unitary circuits with measurements,” Phys. Rev. B 101
2020
Later among the works it cites.
Chao-Ming Jian, Yi-Zhuang You, Romain Vasseur, and Andreas W. W. Ludwig, “Measurement-induced criticality in random quantum circuits,” Physical Review B 101
2020
Later among the works it cites.
Aidan Zabalo, Michael J. Gullans, Justin H. Wilson, Sarang Gopalakrishnan, David A. Huse, and J. H. Pixley, “Critical properties of the measurement-induced transition in random quantum circuits,” Physical Review B 101
2020
Later among the works it cites.
2021
Closest in time.