Built on

L. Susskind, Complexity and Newton’s Laws
Original
1904
Earlier work this paper cites.
H. W. Lin, J. Maldacena, and Y. Zhao, Symmetries Near the Horizon
Original
1904
Earlier work this paper cites.
X.-L. Qi, E. J. Davis, A. Periwal, and M. Schleier-Smith, Measuring operator size growth in quantum quench experiments
Original
1906
Earlier work this paper cites.
A. Mousatov, Operator Size for Holographic Field Theories
Original
1911
Earlier work this paper cites.
A. Larkin and Y. N. Ovchinnikov, Quasiclassical method in the theory of superconductivity
1969
Earlier work this paper cites.
C. Teitelboim, Gravitation and hamiltonian structure in two spacetime dimensions
1983
Earlier work this paper cites.
R. Jackiw, Lower dimensional gravity
1985
Earlier work this paper cites.
B. Allen and C. Lütken, Spinor two-point functions in maximally symmetric spaces
1986
Earlier work this paper cites.
B. Allen and T. Jacobson, Vector two-point functions in maximally symmetric spaces
1986
Earlier work this paper cites.
J. M. Maldacena, The Large N limit of superconformal field theories and supergravity
1999
Earlier work this paper cites.
A. Hamilton, D. N. Kabat, G. Lifschytz, and D. A. Lowe, Local bulk operators in AdS/CFT: A Boundary view of horizons and locality
2006
Earlier work this paper cites.

Similar

A. Hamilton, D. N. Kabat, G. Lifschytz, and D. A. Lowe, Holographic representation of local bulk operators
2006
Cited alongside, same era.
A. Hamilton, D. N. Kabat, G. Lifschytz, and D. A. Lowe, Local bulk operators in AdS/CFT: A Holographic description of the black hole interior
2007
Cited alongside, same era.
D. Kabat, G. Lifschytz, S. Roy, and D. Sarkar, Holographic representation of bulk fields with spin in AdS/CFT
Original
2012
Cited alongside, same era.
S. H. Shenker and D. Stanford, Black holes and the butterfly effect
Original
2014
Cited alongside, same era.
S. H. Shenker and D. Stanford, Multiple Shocks
Original
2014
Cited alongside, same era.

Then

D. J. Gross and V. Rosenhaus, The Bulk Dual of SYK: Cubic Couplings
Original
2017
Later among the works it cites.
D. A. Roberts, D. Stanford, and A. Streicher, Operator growth in the SYK model
Original
2018
Later among the works it cites.
A. R. Brown, H. Gharibyan, A. Streicher, L. Susskind, L. Thorlacius, and Y. Zhao, Falling Toward Charged Black Holes
Original
2018
Later among the works it cites.
A. Kitaev and S. J. Suh, The soft mode in the Sachdev-Ye-Kitaev model and its gravity dual
Original
2018
Later among the works it cites.
A. Kitaev and S. J. Suh, The soft mode in the Sachdev-Ye-Kitaev model and its gravity dual
Original

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…

2020

Size of bulk fermions in the SYK model

Lensky, Yuri D., Qi, Xiao-Liang, Zhang, Pengfei

Understand

The study of quantum gravity in the form of the holographic duality has uncovered and motivated the detailed investigation of various diagnostics of quantum chaos.

One such measure is the operator size distribution, which characterizes the size of the support region of an operator and its evolution under Heisenberg evolution.
In this work, we examine the role of the operator size distribution in holographic duality for the Sachdev-Ye-Kitaev (SYK) model.
Using an explicit construction of AdS$_2$ bulk fermion operators in a putative dual of the low temperature SYK model, we study the operator size distribution of the boundary and bulk fermions.

Built on

L. Susskind, Complexity and Newton’s Laws
Original
1904
Earlier work this paper cites.
H. W. Lin, J. Maldacena, and Y. Zhao, Symmetries Near the Horizon
Original
1904
Earlier work this paper cites.
X.-L. Qi, E. J. Davis, A. Periwal, and M. Schleier-Smith, Measuring operator size growth in quantum quench experiments
Original
1906
Earlier work this paper cites.
A. Mousatov, Operator Size for Holographic Field Theories
Original
1911
Earlier work this paper cites.
A. Larkin and Y. N. Ovchinnikov, Quasiclassical method in the theory of superconductivity
1969
Earlier work this paper cites.
C. Teitelboim, Gravitation and hamiltonian structure in two spacetime dimensions
1983
Earlier work this paper cites.
R. Jackiw, Lower dimensional gravity
1985
Earlier work this paper cites.
B. Allen and C. Lütken, Spinor two-point functions in maximally symmetric spaces
1986
Earlier work this paper cites.
B. Allen and T. Jacobson, Vector two-point functions in maximally symmetric spaces
1986
Earlier work this paper cites.
J. M. Maldacena, The Large N limit of superconformal field theories and supergravity
1999
Earlier work this paper cites.
A. Hamilton, D. N. Kabat, G. Lifschytz, and D. A. Lowe, Local bulk operators in AdS/CFT: A Boundary view of horizons and locality
2006
Earlier work this paper cites.

Similar

A. Hamilton, D. N. Kabat, G. Lifschytz, and D. A. Lowe, Holographic representation of local bulk operators
2006
Cited alongside, same era.
A. Hamilton, D. N. Kabat, G. Lifschytz, and D. A. Lowe, Local bulk operators in AdS/CFT: A Holographic description of the black hole interior
2007
Cited alongside, same era.
D. Kabat, G. Lifschytz, S. Roy, and D. Sarkar, Holographic representation of bulk fields with spin in AdS/CFT
Original
2012
Cited alongside, same era.
S. H. Shenker and D. Stanford, Black holes and the butterfly effect
Original
2014
Cited alongside, same era.
S. H. Shenker and D. Stanford, Multiple Shocks
Original
2014
Cited alongside, same era.

Then

D. J. Gross and V. Rosenhaus, The Bulk Dual of SYK: Cubic Couplings
Original
2017
Later among the works it cites.
D. A. Roberts, D. Stanford, and A. Streicher, Operator growth in the SYK model
Original
2018
Later among the works it cites.
A. R. Brown, H. Gharibyan, A. Streicher, L. Susskind, L. Thorlacius, and Y. Zhao, Falling Toward Charged Black Holes
Original
2018
Later among the works it cites.
A. Kitaev and S. J. Suh, The soft mode in the Sachdev-Ye-Kitaev model and its gravity dual
Original
2018
Later among the works it cites.
A. Kitaev and S. J. Suh, The soft mode in the Sachdev-Ye-Kitaev model and its gravity dual
Original

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

A. Almheiri, X. Dong, and D. Harlow, Bulk Locality and Quantum Error Correction in AdS/CFT

Original

2015

Cited alongside, same era.

P. Hosur and X.-L. Qi, Characterizing eigenstate thermalization via measures in the fock space of operators

Original

2016

Cited alongside, same era.

J. Maldacena and D. Stanford, Remarks on the Sachdev-Ye-Kitaev model

Original

2016

Cited alongside, same era.

D. Bagrets, A. Altland, and A. Kamenev, Sachdev–Ye–Kitaev model as Liouville quantum mechanics

Original

2016

Cited alongside, same era.

Y. Gu, A. Lucas, and X.-L. Qi, Spread of entanglement in a Sachdev-Ye-Kitaev chain

Original

2017

Cited alongside, same era.

A. Kitaev, "hidden correlations in the hawking radiation and thermal noise", talk at breakthrough prize symposium, https://www.youtube.com/watch?v=OQ9qN8j7EZI

Cited in the paper.

L. Susskind, Why do Things Fall?

Original

Cited in the paper.

2018

Later among the works it cites.

X.-L. Qi and A. Streicher, Quantum Epidemiology: Operator Growth, Thermal Effects, and SYK

Original

2019

Later among the works it cites.

S. Xu and B. Swingle, Locality, Quantum Fluctuations, and Scrambling

Original