Fetching the paper…
Reading the bibliography…
In this paper we first compute the out-of-time-order correlators (OTOC) for both a phenomenological model and a random-field XXZ model in the many-body localized phase.
A. I. Larkin and Y. N. Ovchinnikov, “Quasiclassical method in the theory of superconductivity,” Sov. Phys. JETP 28
1969
Earlier work this paper cites.
S. Sachdev and J. Ye, “Gapless spin-fluid ground state in a random quantum Heisenberg magnet,” Phys. Rev. Lett. 70
1993
Earlier work this paper cites.
P. Calabrese, J. Cardy, “Evolution of entanglement entropy in one-dimensional systems,” J. Stat. Mech. 0504: P04010, 2005
2005
Earlier work this paper cites.
G. De Chiara, S. Montangero, P. Calabrese, and R. Fazio, “Entanglement entropy dynamics of Heisenberg chains,” J. Stat. Mech. 2006
2006
Earlier work this paper cites.
M. Žnidarič, T. Prosen, and P. Prelovšek, “Many-body localization in the Heisenberg XXZ magnet in a random field,” Phys. Rev. B 77
2008
Earlier work this paper cites.
F. Franchini, A. R. Its, and V. E. Korepin, “Renyi entropy of the XY spin chain,” J. Phys. A 41
2008
Earlier work this paper cites.
A. Pal and D. A. Huse, “Many-body localization phase transition,” Phys. Rev. B 82
2010
Earlier work this paper cites.
M. B. Hastings, I. González, A. B. Kallin, and R. G. Melko, “Measuring Renyi entanglement entropy in quantum Monte Carlo simulations,” Phys. Rev. Lett. 104
2010
Earlier work this paper cites.
M. Headrick, “Entanglement Renyi entropies in holographic theories,” Phys. Rev. D 82
2010
Earlier work this paper cites.
L.-Y. Hung, R. C. Myers, M. Smolkin, and A. Yale, “Holographic calculations of Rényi entropy,” JHEP12 (2011) 047
2011
Earlier work this paper cites.
J. H. Bardarson, F. Pollmann, and J. E. Moore, “Unbounded growth of entanglement in models of many-body localization,” Phys. Rev. Lett. 109
2012
Earlier work this paper cites.
A. Almheiri, D. Marolf, J. Polchinski, D. Stanford, and J. Sully, “An apologia for firewalls,” JHEP09 (2013) 018
2013
Earlier work this paper cites.
M. Serbyn, Z. Papić, and D. A. Abanin, “Local conservation laws and the structure of the many-body localized states,” Phys. Rev. Lett. 111
2013
Earlier work this paper cites.
R. Vosk and E. Altman, “Many-body localization in one dimension as a dynamical renormalization group fixed point,” Phys. Rev. Lett. 110
2013
Earlier work this paper cites.
M. Serbyn, Z. Papić, and D. A. Abanin, “Universal slow growth of entanglement in interacting strongly disordered systems,” Phys. Rev. Lett. 110
2013
Earlier work this paper cites.
A. Lewkowycz and J. Maldacena, “Generalized gravitational entropy,” JHEP08 (2013) 090
2013
Earlier work this paper cites.
A. Kitaev, talk given at Fundamental Physics Prize Symposium, Nov.10, 2014: http://online.kitp.ucsb.edu/online/joint98/kitaev/
2014
Cited alongside, same era.
S. H. Shenker, D. Stanford, “Black holes and the butterfly effect,” JHEP03 (2014) 067
2014
Cited alongside, same era.
S. H. Shenker, D. Stanford, “Multiple shocks,” JHEP12 (2014) 046
2014
Cited alongside, same era.
D. A. Huse, R. Nandkishore, and V. Oganesyan, “Phenomenology of fully many-body-localized systems,” Phys. Rev. B 90
2014
Cited alongside, same era.
M. Serbyn, M. Knap, S. Gopalakrishnan, Z. Papić, N. Y. Yao, C. R. Laumann, D. A. Abanin, M. D. Lukin, E. A. Demler, “Interferometric probes of many-body localization,” Phys. Rev. Lett. 113
2014
Cited alongside, same era.
J. Maldacena, D. Stanford, Z. Yang, “Conformal symmetry and its breaking in two-dimensional nearly anti-de Sitter space,” Prog Theor Exp Phys (2016) 2016 (12): 12C104
2016
Closest in time.
K. Jensen, “Chaos in AdS 2 holography,” Phys. Rev. Lett. 117
2016
Closest in time.
J. Maldacena, D. Stanford, “Remarks on the Sachdev-Ye-Kitaev model,” Phys. Rev. D 94
2016
Closest in time.
P. Hosur, X L. Qi, D. A. Roberts, and B. Yoshida, “Chaos in quantum channels,” JHEP02 (2016) 004
2016
Closest in time.
Y. Gu and X.-L. Qi, “Fractional statistics and the butterfly effect,” JHEP08 (2016) 129
2016
Closest in time.
W. Fu and S. Sachdev, “Numerical study of fermion and boson models with infinite-range random interactions,” Phys. Rev. B 94
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
M. Serbyn, Z. Papić, and D. A. Abanin, “Quantum quenches in the many-body localized phase,” Phys. Rev. B 90
2014
Cited alongside, same era.
S. H. Shenker and D. Stanford, “Stringy effects in scrambling,” JHEP05 (2015) 132
2015
Cited alongside, same era.
A. Kitaev, talk given at KITP Program: Entanglement in Strongly-Correlated Quantum Matter, 2015: http://online.kitp.ucsb.edu/online/entangled15/kitaev/ http://online.kitp.ucsb.edu/online/entangled15/kitaev2/
2015
Cited alongside, same era.
D. A. Roberts, D. Stanford, and L. Susskind, “Localized shocks,” JHEP03 (2015) 051
2015
Cited alongside, same era.
D. A. Roberts and D. Stanford, “Diagnosing chaos using four-point functions in two-dimensional conformal field theory,” Phys. Rev, Lett. 115
2015
Cited alongside, same era.
E. Altman and R. Vosk, “Universal dynamics and renormalization in many-body-localized systems,” Annu. Rev. Condens. Matter Phys. 2015. 6:383-409
2015
Cited alongside, same era.
R. Nandkishore, D. A. Huse, “Many-body localization and thermalization in quantum statistical mechanics,” Annu. Rev. Condens. Matter Phys. 2015. 6:15-38
2015
Cited alongside, same era.
2016
Closest in time.
B. Swingle, G. Bentsen, M. Schleier-Smith, and P. Hayden, “Measuring the scrambling of quantum information,” Phys. Rev. A 94
2016
Closest in time.
G. Zhu, M. Hafezi, and T. Grover, “Measurement of many-body chaos using a quantum clock,” Phys. Rev. A 94
2016
Closest in time.
A. Jevicki, K. Suzuki and J. Yoon, “Bi-local holography in the SYK model: perturbations,” JHEP07 (2016) 007
2016
Closest in time.
J. Engelsöy, T. G. Mertens and H. Verlinde, “An Investigation of AdS 2 Backreaction and Holography,” JHEP07 (2016) 139
2016
Closest in time.
X. Dong, “The gravity dual of Rényi entropy,” Nature Communications 7, 12472 (2016)
2016
Closest in time.
J. Smith, A. Lee, P. Richerme, B. Neyenhuis, P. W. Hess, P. Hauke, M. Heyl, D. A. Huse, C. Monroe, “Many-body localization in a quantum simulator with programmable random disorder,” Nature Phys. http://dx.doi.org/10.1038/nphys3783 (2016)
2016
Closest in time.
P. Bordia, H. P. Lüschen, S. S. Hodgman, M. Schreiber, I. Bloch, and U. Schneider, “Coupling identical one-dimensional many-body localized systems,” Phys. Rev. Lett. 116
2016
Closest in time.
J.-y. Choi, S. Hild, J. Zeiher, P. Schauß, A. Rubio-Abadal, T. Yefsah, V. Khemani, D. A. Huse, I. Bloch, C. Gross, “Exploring the many-body localization transition in two dimensions,” Science 352
2016
Closest in time.
Y. Huang, Y.-L. Zhang, X. Chen, “Out-of-time-ordered correlators in many-body localized systems,” Annalen der Physik, 2016, 10.1002/andp.201600318
2016
Closest in time.
P. Bordia, H. Lüschen, U. Schneider, M. Knap, I. Bloch, “Periodically driving a many-body localized quantum system,” Nature Physics (2017) doi:10.1038/nphys4020
2017
Closest in time.