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Inspired by the universal operator growth hypothesis, we extend the formalism of Krylov construction in dissipative open quantum systems connected to a Markovian bath.
R. Grobe, F. Haake and H.-J. Sommers, Quantum distinction of regular and chaotic dissipative motion , Phys. Rev. Lett. 61
1902
Earlier work this paper cites.
D. A. Lidar, Lecture notes on the theory of open quantum systems , 1902.00967
1902
Earlier work this paper cites.
1904
Earlier work this paper cites.
1907
Earlier work this paper cites.
1910
Earlier work this paper cites.
1910
Earlier work this paper cites.
A. Del Campo and T. Takayanagi, Decoherence in Conformal Field Theory , JHEP 02
1911
Earlier work this paper cites.
A. Avdoshkin and A. Dymarsky, Euclidean operator growth and quantum chaos , Phys. Rev. Res. 2
1911
Earlier work this paper cites.
A. Dymarsky and A. Gorsky, Quantum chaos as delocalization in Krylov space , Phys. Rev. B 102
1912
Earlier work this paper cites.
W. E. Arnoldi, The principle of minimized iterations in the solution of the matrix eigenvalue problem , Quarterly of Applied Mathematics 9
1951
Earlier work this paper cites.
E. P. Wigner, On the distribution of the roots of certain symmetric matrices , Annals of Mathematics 67
1958
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. Jamiołkowski, Linear transformations which preserve trace and positive semidefiniteness of operators , Reports on Mathematical Physics 3
1972
Earlier work this paper cites.
M.-D. Choi, Completely positive linear maps on complex matrices , Linear Algebra and its Applications 10
1975
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.
V. Gorini, A. 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.
M. V. Berry, M. Tabor and J. M. Ziman, 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.
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.
A. Pal and D. A. Huse, Many-body localization phase transition , Phys. Rev. B 82
1992
Earlier work this paper cites.
M. Srednicki, Chaos and quantum thermalization , Phys. Rev. E 50
1994
Earlier work this paper cites.
Lecture Notes in Physics Monographs. Springer Berlin Heidelberg, 1994
V. Viswanath and G. Müller, The Recursion Method: Application to Many Body Dynamics · 1994
Earlier work this paper cites.
R. B. Lehoucq and D. C. Sorensen, Deflation techniques for an implicitly restarted arnoldi iteration , SIAM J. Matrix Anal. Appl. 17
1996
Earlier work this paper cites.
C. M. Bender and S. Boettcher, Real spectra in non-Hermitian Hamiltonians having PT symmetry , Phys. Rev. Lett. 80
1998
Earlier work this paper cites.
SIAM, Philadelphia, 2000
Z. Bai et al, Templates for the Solution of Algebraic Eigenvalue Problems: A Practical Guide · 2000
Earlier work this paper cites.
J. M. Magan and J. Simón, On operator growth and emergent Poincaré symmetries , JHEP 05
2002
Earlier work this paper cites.
2002
Earlier work this paper cites.
Springer Tracts in Modern Physics. Springer Berlin Heidelberg, 2003
D. Braun, Dissipative Quantum Chaos and Decoherence · 2003
Earlier work this paper cites.
2003
Earlier work this paper cites.
M. Rigol, V. Dunjko, V. Yurovsky and M. Olshanii, Relaxation in a completely integrable many-body quantum system: An ab initio study of the dynamics of the highly excited states of 1d lattice hard-core bosons , Phys. Rev. Lett. 98
2007
Cited alongside, same era.
Oxford University Press, Oxford, 2007, 10.1093/acprof:oso/9780199213900.001.0001
H.-P. Breuer and F. Petruccione, The Theory of Open Quantum Systems · 2007
Cited alongside, same era.
C. M. Bender, Making sense of non-Hermitian Hamiltonians , Rept. Prog. Phys. 70
2007
Cited alongside, same era.
2008
Cited alongside, same era.
P. Arbenz, Lecture notes: Numerical Methods for Solving Large Scale Eigenvalue Problems , 2018
2018
Later among the works it cites.
2019
Later among the works it cites.
2019
Later among the works it cites.
2019
Later among the works it cites.
A. Dymarsky and M. Smolkin, Krylov complexity in conformal field theory , Phys. Rev. D 104
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2008
Cited alongside, same era.
2008
Cited alongside, same era.
2009
Cited alongside, same era.
2009
Cited alongside, same era.
C. E. Rüter, K. G. Makris, R. El-Ganainy, D. N. Christodoulides, M. Segev and D. Kip, Observation of parity–time symmetry in optics , Nature Physics 6
2010
Cited alongside, same era.
Cambridge University Press, 2 ed., 2011, 10.1017/CBO9780511973765
S. Sachdev, Quantum Phase Transitions · 2011
Cited alongside, same era.
2011
Cited alongside, same era.
SIAM, Philadelphia, 2011
Y. Saad, Numerical Methods for Large Eigenvalue Problems · 2011
Cited alongside, same era.
2021
Later among the works it cites.
2021
Later among the works it cites.
2021
Later among the works it cites.
P. Caputa and S. Datta, Operator growth in 2d CFT , JHEP 12
2021
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2022
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2022
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2022
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2022
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P. Caputa, J. M. Magan and D. Patramanis, Geometry of Krylov complexity , Phys. Rev. Res. 4
2022
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D. Patramanis, Probing the entanglement of operator growth , PTEP 2022
2022
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2022
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W. Mück and Y. Yang, Krylov complexity and orthogonal polynomials , Nucl. Phys. B 984
2022
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J. M. Deutsch, Quantum statistical mechanics in a closed system , Phys. Rev. A 43
2049
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