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2019

Entanglement contour and modular flow from subset entanglement entropies

Wen, Qiang

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The Entanglement contour function quantifies the contribution from each degree of freedom in a region $\mathcal{A}$ to the entanglement entropy $S_{\mathcal{A}}$.

Recently in \cite{Wen:2018whg} the author gave two proposals for the entanglement contour in two-dimensional theories.
The first proposal is a fine structure analysis of the entanglement wedge which applies to holographic theories.
The second proposal is a claim that for general two-dimensional theories the partial entanglement entropy is given by a linear combination of entanglement entropies of relevant subsets inside $\mathcal{A}$.

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J. Kudler-Flam, I. MacCormack and S. Ryu, Holographic entanglement contour, bit threads, and the entanglement tsunami , J. Phys. A52
Original
1902
Earlier work this paper cites.
G. Di Giulio, R. Arias and E. Tonni, Entanglement hamiltonians in 1D free lattice models after a global quantum quench , J. Stat. Mech. 1912
Original
1905
Earlier work this paper cites.
M. Han and Q. Wen, Entanglement entropies from entanglement contour: annuli and spherical shells , 1905.05522
Original
1905
Earlier work this paper cites.
H. Jiang, Anomalous Gravitation and its Positivity from Entanglement , JHEP 10
Original
1906
Earlier work this paper cites.
J. Kudler-Flam, H. Shapourian and S. Ryu, The negativity contour: a quasi-local measure of entanglement for mixed states , SciPost Phys. 8
Original
1908
Earlier work this paper cites.
Q. Wen, Formulas for Partial Entanglement Entropy , 1910.10978
Original
1910
Earlier work this paper cites.
E. H. Lieb and M. B. Ruskai, Proof of the strong subadditivity of quantum-mechanical entropy , J. Math. Phys. 14
1941
Earlier work this paper cites.
H. Araki and E. H. Lieb, Entropy inequalities , Comm. Math. Phys. 18
1970
Earlier work this paper cites.
E. H. Lieb and M. B. Ruskai, A Fundamental Property of Quantum-Mechanical Entropy , Phys. Rev. Lett. 30
1973
Earlier work this paper cites.
E. Witten, Anti-de Sitter space and holography , Adv. Theor. Math. Phys. 2
1998
Earlier work this paper cites.
S. S. Gubser, I. R. Klebanov and A. M. Polyakov, Gauge theory correlators from noncritical string theory , Phys. Lett. B428
1998
Earlier work this paper cites.
J. M. Maldacena, The Large N limit of superconformal field theories and supergravity , Int. J. Theor. Phys. 38
1999
Earlier work this paper cites.
I. MacCormack, M. T. Tan, J. Kudler-Flam and S. Ryu, Operator and entanglement growth in non-thermalizing systems: many-body localization and the random singlet phase , 2001.08222
Original
2001
Earlier work this paper cites.
P. Calabrese and J. L. Cardy, Entanglement entropy and quantum field theory , J. Stat. Mech. 0406
2004
Earlier work this paper cites.
A. Botero and B. Reznik, Spatial structures and localization of vacuum entanglement in the linear harmonic chain , Phys. Rev. A 70
2004
Earlier work this paper cites.
M. Levin and X.-G. Wen, Detecting topological order in a ground state wave function , Phys. Rev. Lett. 96
2006
Earlier work this paper cites.
A. Kitaev and J. Preskill, Topological entanglement entropy , Phys. Rev. Lett. 96
2006
Earlier work this paper cites.
P. Calabrese and J. L. Cardy, Entanglement entropy and quantum field theory: A Non-technical introduction , Int. J. Quant. Inf. 4
2006
Earlier work this paper cites.
S. Ryu and T. Takayanagi, Holographic derivation of entanglement entropy from AdS/CFT , Phys. Rev. Lett. 96
2006
Earlier work this paper cites.

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