scholarly journals Generalizing the entanglement entropy of singular regions in conformal field theories

2019 ◽  
Vol 2019 (8) ◽  
Author(s):  
Pablo Bueno ◽  
Horacio Casini ◽  
William Witczak-Krempa
Keyword(s):  
Entanglement Entropy ◽  
Field Theories ◽  
Conformal Field Theories ◽  
Conformal Field

scholarly journals Defects and perturbation

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
Enrico M. Brehm
Keyword(s):  
Entanglement Entropy ◽  
Topological Defects ◽  
Field Theories ◽  
Two Dimensional ◽  
Conformal Field Theories ◽  
Minimal Models ◽  
Conformal Field

Abstract We investigate perturbatively tractable deformations of topological defects in two-dimensional conformal field theories. We perturbatively compute the change in the g-factor, the reflectivity, and the entanglement entropy of the conformal defect at the end of these short RG flows. We also give instances of such flows in the diagonal Virasoro and Super-Virasoro Minimal Models.

scholarly journals Quantum dimension as entanglement entropy in two dimensional conformal field theories

2014 ◽  
Vol 90 (4) ◽  
Author(s):  
Song He ◽  
Tokiro Numasawa ◽  
Tadashi Takayanagi ◽  
Kento Watanabe
Keyword(s):  
Entanglement Entropy ◽  
Field Theories ◽  
Two Dimensional ◽  
Conformal Field Theories ◽  
Conformal Field

scholarly journals Universal relations for holographic interfaces

2021 ◽  
Vol 2021 (9) ◽  
Author(s):  
Andreas Karch ◽  
Zhu-Xi Luo ◽  
Hao-Yu Sun
Keyword(s):  
Entanglement Entropy ◽  
Field Theories ◽  
Conformal Field Theories ◽  
Conformal Field

Abstract We study the entanglement entropy in 1+1 dimensional conformal field theories in the presence of interfaces from a holographic perspective. Compared with the well-known case of boundary conformal field theories, interfaces allow for several interesting new observables. Depending on how the interface is located within the entangling region, the entanglement entropies differ and exhibit surprising new patterns and universal relations. While our analysis is performed within the framework of holography, we expect our results to hold more generally.

scholarly journals Entanglement Entropy in Galilean Conformal Field Theories and Flat Holography

2015 ◽  
Vol 114 (11) ◽  
Author(s):  
Arjun Bagchi ◽  
Rudranil Basu ◽  
Daniel Grumiller ◽  
Max Riegler
Keyword(s):  
Entanglement Entropy ◽  
Field Theories ◽  
Conformal Field Theories ◽  
Conformal Field

scholarly journals ENTANGLEMENT ENTROPY FROM SURFACE TERMS IN GENERAL RELATIVITY

2013 ◽  
Vol 22 (12) ◽  
pp. 1342020 ◽  
Author(s):  
ARPAN BHATTACHARYYA ◽  
ANINDA SINHA
Keyword(s):  
General Relativity ◽  
Entanglement Entropy ◽  
Field Theories ◽  
Quantum Field Theories ◽  
Conformal Field Theories ◽  
Btz Black Hole ◽  
Conformal Field ◽  
Local Quantum ◽  
Gauge Gravity ◽  
Gravity Duality

Entanglement entropy in local quantum field theories is typically ultraviolet divergent due to short distance effects in the neighborhood of the entangling region. In the context of gauge/gravity duality, we show that surface terms in general relativity are able to capture this entanglement entropy. In particular, we demonstrate that for 1 + 1-dimensional (1 + 1d) conformal field theories (CFTs) at finite temperature whose gravity dual is Banados–Teitelboim–Zanelli (BTZ) black hole, the Gibbons–Hawking–York term precisely reproduces the entanglement entropy which can be computed independently in the field theory.

COVARIANT ENTANGLEMENT ENTROPY

2008 ◽  
Vol 23 (14n15) ◽  
pp. 2074-2081 ◽  
Author(s):  
TADASHI TAKAYANAGI
Keyword(s):  
Entanglement Entropy ◽  
Field Theories ◽  
Covariant Formulation ◽  
Conformal Field Theories ◽  
Conformal Field ◽  
Holographic Entanglement Entropy ◽  
Entropy Bound ◽  
Recent Formulation

We review our recent formulation1,2 of computing entanglement entropy in a holographic way. The basic examples can be found by applying AdS/CFT correspondence and the holographic formula has successfully been checked in many examples of conformal field theories. We also explain the covariant formulation of holographic entanglement entropy which is closely related to the covariant entropy bound (Bousso bound) in an interesting way.

scholarly journals Floquet conformal field theories with generally deformed Hamiltonians

2021 ◽  
Vol 10 (2) ◽  
Author(s):  
Ruihua Fan ◽  
Yingfei Gu ◽  
Ashvin Vishwanath ◽  
Xueda Wen
Keyword(s):  
Fixed Points ◽  
Entanglement Entropy ◽  
Momentum Density ◽  
Field Theories ◽  
Geometrical Approach ◽  
Heating Regime ◽  
Conformal Field Theories ◽  
Arbitrary Smooth Function ◽  
Conformal Field ◽  
Heating Phase

In this work, we study non-equilibrium dynamics in Floquet conformal field theories (CFTs) in 1+1D, in which the driving Hamiltonian involves the energy-momentum density spatially modulated by an arbitrary smooth function. This generalizes earlier work which was restricted to the sine-square deformed type of Floquet Hamiltonians, operating within a \mathfrak{sl}_2𝔰𝔩2 sub-algebra. Here we show remarkably that the problem remains soluble in this generalized case which involves the full Virasoro algebra, based on a geometrical approach. It is found that the phase diagram is determined by the stroboscopic trajectories of operator evolution. The presence/absence of spatial fixed points in the operator evolution indicates that the driven CFT is in a heating/non-heating phase, in which the entanglement entropy grows/oscillates in time. Additionally, the heating regime is further subdivided into a multitude of phases, with different entanglement patterns and spatial distribution of energy-momentum density, which are characterized by the number of spatial fixed points. Phase transitions between these different heating phases can be achieved simply by changing the duration of application of the driving Hamiltonian. %In general, there are rich internal structures in the heating phase characterized by different numbers of spatial fixed points, which result in different entanglement patterns and distribution of energy-momentum density in space. %Interestingly, after each driving cycle, these spatial fixed points will shuffle to each other in the array, and come back to the original locations after pp (p\ge 1p≥1) driving cycles. We demonstrate the general features with concrete CFT examples and compare the results to lattice calculations and find remarkable agreement.

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