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Systems at finite temperature make up the vast majority of realistic physical scenarios. Indeed, although zero temperature is often accompanied by simpler mathematics, the richness in physical results is evident when one considers the…

General Relativity and Quantum Cosmology · Physics 2020-05-29 Gonçalo M. Quinta

We examine the holographic complexity conjectures in the context of holographic theories of FRW spacetimes. Analyzing first the complexity-action conjecture for a flat FRW universe with one component, we find that the complexity grows as…

High Energy Physics - Theory · Physics 2020-04-01 Reginald J. Caginalp

Circuit complexity for two-dimensional topological quantum field theories (2D TQFT) was defined by Couch, Fan, and Shashi in [12]. In this paper, we study complexity for the 2D TQFT given by quantum cohomology of compact symplectic…

Algebraic Geometry · Mathematics 2026-03-04 Xiaobo Liu , Chongyu Wang

In the framework of the theory of open systems based on completely positive quantum dynamical semigroups, we give a description of the dynamics of entanglement for a system consisting of two uncoupled harmonic oscillators interacting with a…

Quantum Physics · Physics 2015-05-27 Aurelian Isar

We discuss the entanglement entropy for a massive Klein-Gordon field in two Schwarzschild-like quantum black hole spacetimes, also including a nonminimal coupling term with the background scalar curvature. To compute the entanglement…

General Relativity and Quantum Cosmology · Physics 2025-06-10 Alessio Belfiglio , Orlando Luongo , Stefano Mancini , Sebastiano Tomasi

Motivated by recent studies of circuit complexity in weakly interacting scalar field theory, we explore the computation of circuit complexity in $\mathcal{Z}_2$ Even Effective Field Theories ($\mathcal{Z}_2$ EEFTs). We consider a massive…

For holographic CFT states near the vacuum, entanglement entropies for spatial subsystems can be expressed perturbatively as an expansion in the one-point functions of local operators dual to light bulk fields. Using the connection between…

High Energy Physics - Theory · Physics 2016-07-20 Matthew J. S. Beach , Jaehoon Lee , Charles Rabideau , Mark Van Raamsdonk

We present the results of our computation of the subregion complexity and also compare it with the entanglement entropy of a $2+1$--dimensional holographic superconductor which has a fully backreacted gravity dual with a stable ground sate.…

High Energy Physics - Theory · Physics 2020-04-08 Avik Chakraborty

The features of the fundamental thermodynamical relation (expressing entropy as function of state variables) that arise from the self-gravitating character of a system are analyzed. The models studied include not only a spherically…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Erik A. Martinez

We evaluate the full time dependence of holographic complexity in various eternal black hole backgrounds using both the complexity=action (CA) and the complexity=volume (CV) conjectures. We conclude using the CV conjecture that the rate of…

High Energy Physics - Theory · Physics 2018-11-15 Dean Carmi , Shira Chapman , Hugo Marrochio , Robert C. Myers , Sotaro Sugishita

We study the entropy of chiral 2+1-dimensional topological phases, where there are both gapped bulk excitations and gapless edge modes. We show how the entanglement entropy of both types of excitations can be encoded in a single partition…

Statistical Mechanics · Physics 2008-11-26 Paul Fendley , Matthew P. A. Fisher , Chetan Nayak

In this work, we study the holographic entanglement entropy in AdS$_3$ gravity with the certain mixed boundary condition, which turns out to correspond to $T\bar{T}$-deformed 2D CFTs. By employing the Chern-Simons formalism and Wilson line…

High Energy Physics - Theory · Physics 2023-05-09 Miao He , Yuan Sun

Thermodynamics of scalar fields is investigated in three dimensional black hole backgrounds in two approaches. One is mode expansion and direct computation of the partition sum, and the other is the Euclidean path integral approach. We…

High Energy Physics - Theory · Physics 2008-11-26 Ikuo Ichinose , Yuji Satoh

Within gauge/gravity duality, we consider the local quench-like time evolution obtained by joining two 1+1-dimensional heat baths at different temperatures at time t=0. A steady state forms and expands in space. For the 2+1-dimensional…

High Energy Physics - Theory · Physics 2017-10-25 Johanna Erdmenger , Daniel Fernandez , Mario Flory , Eugenio Megias , Ann-Kathrin Straub , Piotr Witkowski

Entanglement is a special feature of the quantum world that reflects the existence of subtle, often non-local, correlations between local degrees of freedom. In topological theories such non-local correlations can be given a very intuitive…

High Energy Physics - Theory · Physics 2020-01-31 D. Melnikov , A. Mironov , S. Mironov , A. Morozov , An. Morozov

It is pointed out that the entanglement entropy of quantum fields near the horizon of a two-dimensional black hole can be derived by means of the conformal field theory. This can be done in a way analogous to the computation of the entropy…

High Energy Physics - Theory · Physics 2007-05-23 Dmitri V. Fursaev

In this paper, we analyze the holographic covariant entanglement entropy in the double Wick rotated version of a rotating BTZ black hole (3 dimensional Kerr-AdS solution), where the periodicity of Euclidean time and spatial direction are…

High Energy Physics - Theory · Physics 2023-01-18 Mitsutoshi Fujita , Jun Zhang

In this note a new method for computing the entanglement entropy of a CFT holographically is explored. It consists of finding a bulk background with a boundary metric that has the conical singularities needed to compute the entanglement…

High Energy Physics - Theory · Physics 2008-12-25 Georgios Michalogiorgakis

In this paper, the master equation for the coupled lossy waveguides is solved using the thermofield dynamics(TFD) formalism. This formalism allows the use of the underlying symmetry algebras SU(2) and SU(1,1), associated with the…

Quantum Physics · Physics 2015-07-14 M. Naveen Kumar , K. V. S. Shiv Chaitanya , Bindu A. Bambah

We calculate the time evolution of the entanglement entropy in a 1+1 CFT with a holographic dual when there is a localized left-moving packet of energy density. We find the gravity result agrees with a field theory result derived from the…

High Energy Physics - Theory · Physics 2013-07-10 Matthew M. Roberts
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