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P. Saad, S. H. Shenker and D. Stanford, “A semiclassical ramp in SYK and in gravity,” arXiv:1806.06840 [hep-th]. P. Saad, S. H. Shenker and D. Stanford, “JT gravity as a matrix integral,” arXiv:1903.11115 [hep-th]
Original
1903
Earlier work this paper cites.
L. Susskind, “Why do Things Fall?,” arXiv:1802.01198 [hep-th]. L. Susskind, “Complexity and Newton’s Laws,” arXiv:1904.12819 [hep-th]
Original
1904
Earlier work this paper cites.
A. Peres, “Ergodicity and mixing in quantum theory I,” Phys. Rev. A 30
1986
Earlier work this paper cites.
J. M. Deutsch, “Quantum statistical mechanics in a closed system,” Phys. Rev. A 43
1991
Earlier work this paper cites.
V. S. Viswanath and G. Müller, “The Recursion Method: Application to Many-Body Physics”. Springer Verlag (1994)
1994
Earlier work this paper cites.
M. Srednicki, “Chaos and quantum thermalization,” Phys. Rev. E 50
1999
Earlier work this paper cites.
M. A. Nielsen and I. Chuang, “Quantum Computation and Quantum Information”, Cambridge University Press (2000). M. A. Nielsen, “A geometric approach to quantum circuit lower bounds”, [arXiv:quant-ph/0502070]
2000
Earlier work this paper cites.

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2019

Barbon, J. L. F., Rabinovici, E., Shir, R. et al.

We study operator complexity on various time scales with emphasis on those much larger than the scrambling period.

We use, for systems with a large but finite number of degrees of freedom, the notion of K-complexity employed in arXiv:1812.08657 for infinite systems.
We present evidence that K-complexity of ETH operators has indeed the character associated with the bulk time evolution of extremal volumes and actions.
Namely, after a period of exponential growth during the scrambling period the K-complexity increases only linearly with time for exponentially long times in terms of the entropy, and it eventually saturates at a constant value also exponential in terms of the entropy.

P. Saad, S. H. Shenker and D. Stanford, “A semiclassical ramp in SYK and in gravity,” arXiv:1806.06840 [hep-th]. P. Saad, S. H. Shenker and D. Stanford, “JT gravity as a matrix integral,” arXiv:1903.11115 [hep-th]
Original
1903
Earlier work this paper cites.
L. Susskind, “Why do Things Fall?,” arXiv:1802.01198 [hep-th]. L. Susskind, “Complexity and Newton’s Laws,” arXiv:1904.12819 [hep-th]
Original
1904
Earlier work this paper cites.
A. Peres, “Ergodicity and mixing in quantum theory I,” Phys. Rev. A 30
1986
Earlier work this paper cites.
J. M. Deutsch, “Quantum statistical mechanics in a closed system,” Phys. Rev. A 43
1991
Earlier work this paper cites.
V. S. Viswanath and G. Müller, “The Recursion Method: Application to Many-Body Physics”. Springer Verlag (1994)
1994
Earlier work this paper cites.
M. Srednicki, “Chaos and quantum thermalization,” Phys. Rev. E 50
1999
Earlier work this paper cites.
M. A. Nielsen and I. Chuang, “Quantum Computation and Quantum Information”, Cambridge University Press (2000). M. A. Nielsen, “A geometric approach to quantum circuit lower bounds”, [arXiv:quant-ph/0502070]
2000
Earlier work this paper cites.