Built on

B. Yan, L. Cincio and W.H. Zurek, Information Scrambling and Loschmidt Echo
Original
1903
Earlier work this paper cites.
A. Romero-Bermúdez, K. Schalm and V. Scopelliti, Regularization dependence of the OTOC. Which Lyapunov spectrum is the physical one?
Original
1903
Earlier work this paper cites.
R. de Mello Koch, J.H. Huang, C.T. Ma and H.J.R. Van Zyl, Spectral form factor as an OTOC averaged over the Heisenberg group
Original
1905
Earlier work this paper cites.
Y. Kusuki and M. Miyaji, Entanglement Entropy, OTOC and Bootstrap in 2D CFTs from Regge and Light Cone Limits of Multi-point Conformal Block
Original
1905
Earlier work this paper cites.
C. Murthy and M. Srednicki, Bounds on chaos from the eigenstate thermalization hypothesis
Original
1906
Earlier work this paper cites.
J. Kudler-Flam, M. Nozaki, S. Ryu and M.T. Tan, Quantum vs. classical information: operator negativity as a probe of scrambling
Original
1906
Earlier work this paper cites.
C.T. Ma, Early-Time and Late-Time Quantum Chaos
Original
1907
Earlier work this paper cites.
A. Bhattacharyya, W. Chemissany, S. Shajidul Haque and B. Yan, Towards the Web of Quantum Chaos Diagnostics
Original
1909
Earlier work this paper cites.
A.I. Larkin and Y.N. Ovchinnikov, Quasiclassical Method in the Theory of Superconductivity
1969
Earlier work this paper cites.
A. Jamiolkowski, Linear transformations which preserve trace and positive semidefiniteness of operators
1972
Earlier work this paper cites.
M.D. Choi, Completely positive linear maps on complex matrices
1975
Earlier work this paper cites.
S.W. Hawking and D.N. Page, Thermodynamics of black holes in anti-de sitter space
1983
Earlier work this paper cites.
A.A. Belavin, A.M. Polyakov and A.B. Zamolodchikov, Infinite Conformal Symmetry in Two-Dimensional Quantum Field Theory
1984
Earlier work this paper cites.
M. Banados, C. Teitelboim and J. Zanelli, Black hole in three-dimensional spacetime
1992
Earlier work this paper cites.
M. Srednicki, Chaos and quantum thermalization
1994
Earlier work this paper cites.
P. Di Francesco, P. Mathieu and D. Senechal, Conformal Field Theory
1997
Earlier work this paper cites.
J. Maldacena, The Large-N Limit of Superconformal Field Theories and Supergravity
1999
Earlier work this paper cites.
P. Zanardi, Entanglement of quantum evolutions
2001
Earlier work this paper cites.
O. Lunin and S.D. Mathur, Correlation Functions for M N
2001
Earlier work this paper cites.
I. Runkel and G.M.T. Watts, A non-rational CFT with c = 1 as a limit of minimal models
2001
Earlier work this paper cites.

Similar

J. Maldacena, Eternal black holes in anti-de Sitter
2003
Cited alongside, same era.
J. Kudler-Flam, M. Nozaki, S. Ryu and M. Tian Tan, Entanglement of Local Operators and the Butterfly Effect
Original
2005
Cited alongside, same era.
P. Calabrese and J. Cardy, Evolution of entanglement entropy in one-dimensional systems
2005
Cited alongside, same era.
P. Calabrese and J. Cardy, Time Dependence of Correlation Functions Following a Quantum Quench
2006
Cited alongside, same era.
T. Prosen and I. Pižorn, Operator space entanglement entropy in a transverse Ising chain
Original
2007
Cited alongside, same era.
I. Pižorn and T. Prosen, Operator space entanglement entropy in XY spin chains

Then

J. Cotler, N. Hunter-Jones, J. Liu and B. Yoshida, Chaos, complexity, and random matrices
Original
2017
Later among the works it cites.
D.A. Roberts and B. Yoshida, Chaos and complexity by design
Original
2017
Later among the works it cites.
J.S. Cotler, G. Gur-Ari, M. Hanada, J. Polchinski, P. Saad, S.H. Shenker, D. Stanford, A. Streicher and M. Tezuka, Black holes and random matrices
Original
2017
Later among the works it cites.
V. Balasubramanian, B. Craps, B. Czech and G. Sárosi, Echoes of chaos from string theory black holes
Original
2017
Later among the works it cites.
J. Dubail, Entanglement scaling of operators: a conformal field theory approach, with a glimpse of simulability of long-time dynamics in 1 + 1d

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Reading the bibliography…

2019

Conformal field theory and the web of quantum chaos diagnostics

Kudler-Flam, Jonah, Nie, Laimei, Ryu, Shinsei

Understand

We study three prominent diagnostics of chaos and scrambling in the context of two-dimensional conformal field theory: the spectral form factor, out-of-time-ordered correlators, and unitary operator entanglement.

With the observation that all three quantities may be obtained by different analytic continuations of the torus partition function, we address the connections and distinctions between the information that each quantity provides us.
In this process, we study the emergence of irrationality from "large-N" limits of rational conformal field theories (RCFTs) as well as the explicit breakdown of rationality for theories with central charges greater than the number of their conserved currents.
Our analysis begins to elucidate the intermediate dynamical behavior of theories that bridge the gap between integrable RCFTs and maximally chaotic holographic CFTs.

Built on

B. Yan, L. Cincio and W.H. Zurek, Information Scrambling and Loschmidt Echo
Original
1903
Earlier work this paper cites.
A. Romero-Bermúdez, K. Schalm and V. Scopelliti, Regularization dependence of the OTOC. Which Lyapunov spectrum is the physical one?
Original
1903
Earlier work this paper cites.
R. de Mello Koch, J.H. Huang, C.T. Ma and H.J.R. Van Zyl, Spectral form factor as an OTOC averaged over the Heisenberg group
Original
1905
Earlier work this paper cites.
Y. Kusuki and M. Miyaji, Entanglement Entropy, OTOC and Bootstrap in 2D CFTs from Regge and Light Cone Limits of Multi-point Conformal Block
Original
1905
Earlier work this paper cites.
C. Murthy and M. Srednicki, Bounds on chaos from the eigenstate thermalization hypothesis
Original
1906
Earlier work this paper cites.
J. Kudler-Flam, M. Nozaki, S. Ryu and M.T. Tan, Quantum vs. classical information: operator negativity as a probe of scrambling
Original
1906
Earlier work this paper cites.
C.T. Ma, Early-Time and Late-Time Quantum Chaos
Original
1907
Earlier work this paper cites.
A. Bhattacharyya, W. Chemissany, S. Shajidul Haque and B. Yan, Towards the Web of Quantum Chaos Diagnostics
Original
1909
Earlier work this paper cites.
A.I. Larkin and Y.N. Ovchinnikov, Quasiclassical Method in the Theory of Superconductivity
1969
Earlier work this paper cites.
A. Jamiolkowski, Linear transformations which preserve trace and positive semidefiniteness of operators
1972
Earlier work this paper cites.
M.D. Choi, Completely positive linear maps on complex matrices
1975
Earlier work this paper cites.
S.W. Hawking and D.N. Page, Thermodynamics of black holes in anti-de sitter space
1983
Earlier work this paper cites.
A.A. Belavin, A.M. Polyakov and A.B. Zamolodchikov, Infinite Conformal Symmetry in Two-Dimensional Quantum Field Theory
1984
Earlier work this paper cites.
M. Banados, C. Teitelboim and J. Zanelli, Black hole in three-dimensional spacetime
1992
Earlier work this paper cites.
M. Srednicki, Chaos and quantum thermalization
1994
Earlier work this paper cites.
P. Di Francesco, P. Mathieu and D. Senechal, Conformal Field Theory
1997
Earlier work this paper cites.
J. Maldacena, The Large-N Limit of Superconformal Field Theories and Supergravity
1999
Earlier work this paper cites.
P. Zanardi, Entanglement of quantum evolutions
2001
Earlier work this paper cites.
O. Lunin and S.D. Mathur, Correlation Functions for M N
2001
Earlier work this paper cites.
I. Runkel and G.M.T. Watts, A non-rational CFT with c = 1 as a limit of minimal models
2001
Earlier work this paper cites.