Built on

P. W. Anderson, “Absence of diffusion in certain random lattices,” Phys. Rev. 109
1958
Earlier work this paper cites.
A. Larkin and Y. N. Ovchinnikov, “Quasiclassical method in the theory of superconductivity,” Sov. JETP 28
1969
Earlier work this paper cites.
E. H. Lieb and D. W. Robinson, “The finite group velocity of quantum spin systems,” Comm. Math. Phys. 28
1972
Earlier work this paper cites.
B. L. Altshuler and A. G. Aronov, “Electron-electron collisions in a weakly ionized plasma,” Sov. Phys.-JETP 48
1978
Earlier work this paper cites.
B. L. Altshuler and A. G. Aronov, “Damping of one-electron excitations in metals,” JETP Lett. 30
1979
Earlier work this paper cites.
L. Fleishman and P. W. Anderson, “Interactions and the Anderson transition,” Phys. Rev. B 21
1980
Earlier work this paper cites.
E. Abrahams, P. W. Anderson, P. A. Lee, and T. V. Ramakrishnan, “Quasiparticle lifetime in disordered two-dimensional metals,” Phys. Rev. B 24
1981
Earlier work this paper cites.
H. Fukuyama and E. Abrahams, “Inelastic scattering time in two-dimensional disordered metals,” Physical Review B 27
1983
Earlier work this paper cites.
C. Castellani, C. Di Castro, P. A. Lee, and M. Ma, “Interaction-driven metal-insulator transitions in disordered fermion systems,” Phys. Rev. B 30
1984
Earlier work this paper cites.
H. Fukuyama, “A note on inelastic scattering time in two-dimensional weakly localized regime,” J. Phys. Soc. Jpn. 53
1984
Earlier work this paper cites.
P. A. Lee and T. V. Ramakrishnan, “Disordered electronic systems,” Rev. Mod. Phys. 57
1985
Earlier work this paper cites.
A. Ėfros and M. Pollak, Electron-Electron Interactions in Disordered Systems , Modern Problems in Condensed Matter Sciences, Vol 10 (North-Holland, 1985)
1985
Earlier work this paper cites.
C. Castellani, C. DiCastro, G. Kotliar, and P. A. Lee, “Dephasing time in disordered systems,” Phys. Rev. Lett. 56
1986
Earlier work this paper cites.
S. Sachdev, “Electron spin resonance in disordered metals,” Phys. Rev. B 34
1986
Earlier work this paper cites.
S. Sachdev, “Spin dephasing in disordered semiconductors and metals,” Phys. Rev. B 35
1987
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.
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.
M. Srednicki, “Chaos and quantum thermalization,” Phys. Rev. E 50
1994
Earlier work this paper cites.
S. V. Kravchenko, D. Simonian, M. P. Sarachik, W. Mason, and J. E. Furneaux, “Electric field scaling at a B = 0 \mathit{B}\phantom{\rule{0.0pt}{0.0pt}}=\phantom{\rule{0.0pt}{0.0pt}}0 metal-insulator transition in two dimensions,” Phys. Rev. Lett. 77
1996
Earlier work this paper cites.
H. Tasaki, “From Quantum Dynamics to the Canonical Distribution: General Picture and a Rigorous Example,” Phys. Rev. Lett. 80
1998
Earlier work this paper cites.
C. Castellani, C. Di Castro, and P. A. Lee, “Metallic phase and metal-insulator transition in two-dimensional electronic systems,” Phys. Rev. B 57
1998
Earlier work this paper cites.
G. Catelani and I. Aleiner, “Interaction corrections to thermal transport coefficients in disordered metals: The quantum kinetic equation approach,” J. Low Temp. Phys. 100
2005
Earlier work this paper cites.

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P. Hayden and J. Preskill, “Black holes as mirrors: Quantum information in random subsystems,” JHEP 09
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T. Vojta, “Quantum Griffiths Effects and Smeared Phase Transitions in Metals: Theory and Experiment,” J. Low Temp. Phys. 161
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Then

N. Y. Yao, F. Grusdt, B. Swingle, M. D. Lukin, D. M. Stamper-Kurn, J. E. Moore, and E. A. Demler, “Interferometric Approach to Probing Fast Scrambling,” ArXiv e-prints (2016), arXiv:1607.01801 [quant-ph]
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Later among the works it cites.
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Later among the works it cites.
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Later among the works it cites.

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Reading the bibliography…

2017

Quantum butterfly effect in weakly interacting diffusive metals

Patel, Aavishkar A., Chowdhury, Debanjan, Sachdev, Subir et al.

Understand

We study scrambling, an avatar of chaos, in a weakly interacting metal in the presence of random potential disorder.

It is well known that charge and heat spread via diffusion in such an interacting disordered metal.
In contrast, we show within perturbation theory that chaos spreads in a ballistic fashion.
The squared anticommutator of the electron field operators inherits a light-cone like growth, arising from an interplay of a growth (Lyapunov) exponent that scales as the inelastic electron scattering rate and a diffusive piece due to the presence of disorder.

Built on

P. W. Anderson, “Absence of diffusion in certain random lattices,” Phys. Rev. 109
1958
Earlier work this paper cites.
A. Larkin and Y. N. Ovchinnikov, “Quasiclassical method in the theory of superconductivity,” Sov. JETP 28
1969
Earlier work this paper cites.
E. H. Lieb and D. W. Robinson, “The finite group velocity of quantum spin systems,” Comm. Math. Phys. 28
1972
Earlier work this paper cites.
B. L. Altshuler and A. G. Aronov, “Electron-electron collisions in a weakly ionized plasma,” Sov. Phys.-JETP 48
1978
Earlier work this paper cites.
B. L. Altshuler and A. G. Aronov, “Damping of one-electron excitations in metals,” JETP Lett. 30
1979
Earlier work this paper cites.
L. Fleishman and P. W. Anderson, “Interactions and the Anderson transition,” Phys. Rev. B 21
1980
Earlier work this paper cites.
E. Abrahams, P. W. Anderson, P. A. Lee, and T. V. Ramakrishnan, “Quasiparticle lifetime in disordered two-dimensional metals,” Phys. Rev. B 24
1981
Earlier work this paper cites.
H. Fukuyama and E. Abrahams, “Inelastic scattering time in two-dimensional disordered metals,” Physical Review B 27
1983
Earlier work this paper cites.
C. Castellani, C. Di Castro, P. A. Lee, and M. Ma, “Interaction-driven metal-insulator transitions in disordered fermion systems,” Phys. Rev. B 30
1984
Earlier work this paper cites.
H. Fukuyama, “A note on inelastic scattering time in two-dimensional weakly localized regime,” J. Phys. Soc. Jpn. 53
1984
Earlier work this paper cites.
P. A. Lee and T. V. Ramakrishnan, “Disordered electronic systems,” Rev. Mod. Phys. 57
1985
Earlier work this paper cites.
A. Ėfros and M. Pollak, Electron-Electron Interactions in Disordered Systems , Modern Problems in Condensed Matter Sciences, Vol 10 (North-Holland, 1985)
1985
Earlier work this paper cites.
C. Castellani, C. DiCastro, G. Kotliar, and P. A. Lee, “Dephasing time in disordered systems,” Phys. Rev. Lett. 56
1986
Earlier work this paper cites.
S. Sachdev, “Electron spin resonance in disordered metals,” Phys. Rev. B 34
1986
Earlier work this paper cites.
S. Sachdev, “Spin dephasing in disordered semiconductors and metals,” Phys. Rev. B 35
1987
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.
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.
M. Srednicki, “Chaos and quantum thermalization,” Phys. Rev. E 50
1994
Earlier work this paper cites.
S. V. Kravchenko, D. Simonian, M. P. Sarachik, W. Mason, and J. E. Furneaux, “Electric field scaling at a B = 0 \mathit{B}\phantom{\rule{0.0pt}{0.0pt}}=\phantom{\rule{0.0pt}{0.0pt}}0 metal-insulator transition in two dimensions,” Phys. Rev. Lett. 77
1996
Earlier work this paper cites.
H. Tasaki, “From Quantum Dynamics to the Canonical Distribution: General Picture and a Rigorous Example,” Phys. Rev. Lett. 80
1998
Earlier work this paper cites.
C. Castellani, C. Di Castro, and P. A. Lee, “Metallic phase and metal-insulator transition in two-dimensional electronic systems,” Phys. Rev. B 57
1998
Earlier work this paper cites.
G. Catelani and I. Aleiner, “Interaction corrections to thermal transport coefficients in disordered metals: The quantum kinetic equation approach,” J. Low Temp. Phys. 100
2005
Earlier work this paper cites.

Similar

P. Hayden and J. Preskill, “Black holes as mirrors: Quantum information in random subsystems,” JHEP 09
Original
2007
Cited alongside, same era.
M. Rigol, V. Dunjko, and M. Olshanii, “Thermalization and its mechanism for generic isolated quantum systems,” Nature 452
Original
2008
Cited alongside, same era.
T. Vojta, “Quantum Griffiths Effects and Smeared Phase Transitions in Metals: Theory and Experiment,” J. Low Temp. Phys. 161
Original
2010
Cited alongside, same era.
W. Brown and O. Fawzi, “Scrambling speed of random quantum circuits,” ArXiv e-prints (2012), arXiv:1210.6644 [quant-ph]
Original
2012
Cited alongside, same era.
T. Langen, R. Geiger, M. Kuhnert, B. Rauer, and J. Schmiedmayer, “Local emergence of thermal correlations in an isolated quantum many-body system,” Nature Physics 9

Then

N. Y. Yao, F. Grusdt, B. Swingle, M. D. Lukin, D. M. Stamper-Kurn, J. E. Moore, and E. A. Demler, “Interferometric Approach to Probing Fast Scrambling,” ArXiv e-prints (2016), arXiv:1607.01801 [quant-ph]
Original
2016
Later among the works it cites.
G. Zhu, M. Hafezi, and T. Grover, “Measurement of many-body chaos using a quantum clock,” Phys. Rev. A 94
Original
2016
Later among the works it cites.
K. X. Wei, C. Ramanathan, and P. Cappellaro, “Exploring Localization in Nuclear Spin Chains,” ArXiv e-prints (2016), arXiv:1612.05249 [cond-mat.dis-nn]
Original
2016
Later among the works it cites.
Y. Huang, Y.-L. Zhang, and X. Chen, “Out-of-time-ordered correlators in many-body localized systems,” Annalen der Physik 529
Original
2016
Later among the works it cites.

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

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X. Chen, T. Zhou, D. A. Huse, and E. Fradkin, “Out-of-time-order correlations in many-body localized and thermal phases,” Annalen der Physik , 1600332 (2016) , arXiv:1610.00220 [cond-mat.str-el]

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Later among the works it cites.

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Later among the works it cites.

D. Stanford, “Many-body chaos at weak coupling,” JHEP 10

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Later among the works it cites.

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