scholarly journals Quantum corrections to dynamical holographic thermalization: entanglement entropy and other non-local observables

2013 ◽  
Vol 2013 (8) ◽  
Author(s):  
Walter H. Baron ◽  
Martin Schvellinger
Keyword(s):  
Entanglement Entropy ◽  
Quantum Corrections ◽  
Non Local ◽  
Local Observables

scholarly journals High temperature behavior of non-local observables in boosted strongly coupled plasma: a holographic study

2020 ◽  
Vol 80 (7) ◽  
Author(s):  
Atanu Bhatta ◽  
Shankhadeep Chakrabortty ◽  
Suat Dengiz ◽  
Ercan Kilicarslan
Keyword(s):  
High Temperature ◽  
Thermal Plasma ◽  
Rotational Symmetry ◽  
Entanglement Entropy ◽  
Region Of Interest ◽  
Boundary Theory ◽  
Strongly Coupled ◽  
Non Local ◽  
Local Observables ◽  
Strip Geometry

Abstract In this work, we perform a holographic analysis to study non local observables associated to a uniformly boosted strongly coupled large N thermal plasma in d-dimensions. In order to accomplish the holographic analysis, the appropriate dual bulk theory turns out to be $$d+1$$d+1 dimensional boosted AdS-Schwarzschild blackhole background. In particular, we compute entanglement entropy of the boosted plasma at high temperature living inside a strip geometry with entangling width l in the boundary at a particular instant of time. We also study the two-point correlators in the boundary by following geodesic approximation method. For analyzing the effect of boosting on the thermal plasma and correspondingly on both non local observables, we keep the alignment of the width of region of interest both parallel and perpendicular to the direction of the boost. We find our results significantly modified compared to those in un-boosted plasma up to the quadratic order of the boost velocity v. More interestingly, the relative orientation of the boost and the entangling width play a crucial role to quantify the holographic entanglement entropy in the boundary theory. The breaking of rotational symmetry in the boundary theory due to the boosting of the plasma along a specific flat direction causes this interesting feature.

scholarly journals Non-local observables and lightcone-averaging in relativistic thermodynamics

2009 ◽  
Vol 5 (10) ◽  
pp. 741-747 ◽  
Author(s):  
Jörn Dunkel ◽  
Peter Hänggi ◽  
Stefan Hilbert
Keyword(s):  
Non Local ◽  
Local Observables ◽  
Relativistic Thermodynamics

scholarly journals Out-of-equilibrium phase transitions induced by Floquet resonances in a periodically quench-driven XY spin chain

2020 ◽  
Vol 3 (1) ◽  
Author(s):  
Sergio Enrique Tapias Arze ◽  
Pieter W. Claeys ◽  
Isaac Perez Castillo ◽  
Jean-Sébastien Caux
Keyword(s):  
Phase Transitions ◽  
Spin Chain ◽  
Equilibrium Phase ◽  
Transverse Field ◽  
Exact Expression ◽  
Rapid Convergence ◽  
Transient Behaviour ◽  
Non Local ◽  
Xy Spin Chain ◽  
Local Observables

We consider the dynamics of an XY spin chain subjected to an external transverse field which is periodically quenched between two values. By deriving an exact expression of the Floquet Hamiltonian for this out-of-equilibrium protocol with arbitrary driving frequencies, we show how, after an unfolding of the Floquet spectrum, the parameter space of the system is characterized by alternations between local and non-local regions, corresponding respectively to the absence and presence of Floquet resonances. The boundary lines between regions are obtained analytically from avoided crossings in the Floquet quasi-energies and are observable as phase transitions in the synchronized state. The transient behaviour of dynamical averages of local observables similarly undergoes a transition, showing either a rapid convergence towards the synchronized state in the local regime, or a rather slow one exhibiting persistent oscillations in the non-local regime, where explicit decay coefficients are presented.

scholarly journals Local quenches, bulk entanglement entropy and a unitary Page curve

2020 ◽  
Vol 2020 (8) ◽  
Author(s):  
Cesar A. Agón ◽  
Sagar F. Lokhande ◽  
Juan F. Pedraza
Keyword(s):  
Black Hole ◽  
Entanglement Entropy ◽  
Quantum Corrections ◽  
Massive Scalar Field ◽  
Black Hole Evaporation ◽  
Primary Operator ◽  
Black Hole Information ◽  
Information Problem ◽  
Matter Fields ◽  
Entropy Corrections

Abstract Quantum corrections to the entanglement entropy of matter fields interacting with dynamical gravity have proven to be very important in the study of the black hole information problem. We consider a one-particle excited state of a massive scalar field infalling in a pure AdS3 geometry and compute these corrections for bulk subregions anchored on the AdS boundary. In the dual CFT2, the state is given by the insertion of a local primary operator and its evolution thereafter. We calculate the area and bulk entanglement entropy corrections at order $$ \mathcal{O}\left({N}^0\right), $$ O N 0 , both in AdS and its CFT dual. The two calculations match, thus providing a non-trivial check of the FLM formula in a dynamical setting. Further, we observe that the bulk entanglement entropy follows a Page curve. We explain the precise sense in which our setup can be interpreted as a simple model of black hole evaporation and comment on the implications for the information problem.

scholarly journals Quantum corrections to finite radius holography and holographic entanglement entropy

2020 ◽  
Vol 2020 (5) ◽  
Author(s):  
William Donnelly ◽  
Elise LePage ◽  
Yan-Yan Li ◽  
Andre Pereira ◽  
Vasudev Shyam
Keyword(s):  
Entanglement Entropy ◽  
Quantum Corrections ◽  
Finite Radius ◽  
Holographic Entanglement Entropy

Variable strength measurements of non-local observables

2020 ◽  
Author(s):  
Noah Lupu-Gladstein ◽  
Hugo Ferretti ◽  
Weng-Kian Tham ◽  
Arthur O. T. Pang ◽  
Aephraim M. Steinberg ◽  
...  
Keyword(s):  
Variable Strength ◽  
Non Local ◽  
Local Observables
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