scholarly journals Entanglement temperature and entanglement entropy of excited states

2013 ◽  
Vol 2013 (12) ◽  
Author(s):  
Gabriel Wong ◽  
Israel Klich ◽  
Leopoldo A. Pando Zayas ◽  
Diana Vaman
Keyword(s):  
Excited States ◽  
Entanglement Entropy

scholarly journals Entanglement entropy in excited states of the quantum Lifshitz model

2017 ◽  
Vol 50 (25) ◽  
pp. 254003 ◽  
Author(s):  
Daniel E Parker ◽  
Romain Vasseur ◽  
Joel E Moore
Keyword(s):  
Excited States ◽  
Entanglement Entropy

scholarly journals Symmetry-resolved entanglement for excited states and two entangling intervals in AdS3/CFT2

2021 ◽  
Vol 2021 (12) ◽  
Author(s):  
Konstantin Weisenberger ◽  
Suting Zhao ◽  
Christian Northe ◽  
René Meyer
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Excited States ◽  
Vertex Operator Algebra ◽  
Central Charge ◽  
Entanglement Entropy ◽  
Conformal Field Theories ◽  
Conformal Field ◽  
Chern Simons ◽  
Twist Fields

Abstract We test the proposal of [1] for the holographic computation of the charged moments and the resulting symmetry-resolved entanglement entropy in different excited states, as well as for two entangling intervals. Our holographic computations are performed in U(1) Chern-Simons-Einstein-Hilbert gravity, and are confirmed by independent results in a conformal field theory at large central charge. In particular, we consider two classes of excited states, corresponding to charged and uncharged conical defects in AdS3. In the conformal field theory, these states are generated by the insertion of charged and uncharged heavy operators. We employ the monodromy method to calculate the ensuing four-point function between the heavy operators and the twist fields. For the two-interval case, we derive our results on the AdS and the conformal field theory side, respectively, from the generating function method of [1], as well as the vertex operator algebra. In all cases considered, we find equipartition of entanglement between the different charge sectors. We also clarify an aspect of conformal field theories with a large central charge and $$ \hat{\mathfrak{u}}{(1)}_k $$ u ̂ 1 k Kac-Moody symmetry used in our calculations, namely the factorization of the Hilbert space into a gravitational Virasoro sector with large central charge, and a $$ \hat{\mathfrak{u}}{(1)}_k $$ u ̂ 1 k Kac-Moody sector.

scholarly journals Thermodynamical Property of Entanglement Entropy for Excited States

2013 ◽  
Vol 110 (9) ◽  
Author(s):  
Jyotirmoy Bhattacharya ◽  
Masahiro Nozaki ◽  
Tadashi Takayanagi ◽  
Tomonori Ugajin
Keyword(s):  
Excited States ◽  
Entanglement Entropy ◽  
Thermodynamical Property

scholarly journals Entanglement entropy of excited states

2009 ◽  
Vol 2009 (10) ◽  
pp. P10020 ◽  
Author(s):  
Vincenzo Alba ◽  
Maurizio Fagotti ◽  
Pasquale Calabrese
Keyword(s):  
Excited States ◽  
Entanglement Entropy

scholarly journals Symmetry resolved entanglement entropy of excited states in a CFT

2020 ◽  
Vol 2020 (7) ◽  
pp. 073101 ◽  
Author(s):  
Luca Capizzi ◽  
Paola Ruggiero ◽  
Pasquale Calabrese
Keyword(s):  
Excited States ◽  
Entanglement Entropy

scholarly journals Bulk entanglement entropy for photons and gravitons in AdS$_3$

2020 ◽  
Vol 8 (5) ◽  
Author(s):  
Alexandre Belin ◽  
Nabil Iqbal ◽  
Jorrit Kruthoff
Keyword(s):  
Hilbert Space ◽  
Excited States ◽  
Central Charge ◽  
Entanglement Entropy ◽  
Vacuum State ◽  
Gravitational Theory ◽  
Perfect Agreement ◽  
Holographic Entanglement Entropy ◽  
The Difference ◽  
Chern Simons

We study quantum corrections to holographic entanglement entropy in AdS_33/CFT_22; these are given by the bulk entanglement entropy across the Ryu-Takayanagi surface for all fields in the effective gravitational theory. We consider bulk U(1)U(1) gauge fields and gravitons, whose dynamics in AdS_33 are governed by Chern-Simons terms and are therefore topological. In this case the relevant Hilbert space is that of the edge excitations. A novelty of the holographic construction is that such modes live not only on the bulk entanglement cut but also on the AdS boundary. We describe the interplay of these excitations and provide an explicit map to the appropriate extended Hilbert space. We compute the bulk entanglement entropy for the CFT vacuum state and find that the effect of the bulk entanglement entropy is to renormalize the relation between the effective holographic central charge and Newton’s constant. We also consider excited states obtained by acting with the U(1)U(1) current on the vacuum, and compute the difference in bulk entanglement entropy between these states and the vacuum. We compute this UV-finite difference both in the bulk and in the CFT finding a perfect agreement.

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