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We study the unitary time evolution of the entropy of entanglement of a one-dimensional system between the degrees of freedom in an interval of length l and its complement, starting from a pure state which is not an eigenstate of the…

Statistical Mechanics · Physics 2011-02-16 Pasquale Calabrese , John Cardy

There exist zero-temperature states in quantum many-body systems that are fully factorized, thereby possessing vanishing entanglement, and hence being of no use as resource in quantum information processing tasks. Such states can become…

Quantum Physics · Physics 2018-06-11 Titas Chanda , Tamoghna Das , Debasis Sadhukhan , Amit Kumar Pal , Aditi Sen De , Ujjwal Sen

For a field theory with a gravitational dual, following Susskind's proposal we define holographic complexity for a subsystem. The holographic complexity is proportional to the volume of a co-dimension one time slice in the bulk geometry…

High Energy Physics - Theory · Physics 2016-01-18 Mohsen Alishahiha

We study holographic entanglement entropy in dS/CFT and introduce time-like entanglement entropy in CFTs. Both of them take complex values in general and are related with each other via an analytical continuation. We argue that they are…

High Energy Physics - Theory · Physics 2023-02-01 Kazuki Doi , Jonathan Harper , Ali Mollabashi , Tadashi Takayanagi , Yusuke Taki

A holographic derivation of the entanglement entropy in quantum (conformal) field theories is proposed from AdS/CFT correspondence. We argue that the entanglement entropy in d+1 dimensional conformal field theories can be obtained from the…

High Energy Physics - Theory · Physics 2014-11-18 Shinsei Ryu , Tadashi Takayanagi

The extension of many-body quantum dynamics to the non-unitary domain has led to a series of exciting developments, including new out-of-equilibrium entanglement phases and phase transitions. We show how a duality transformation between…

Quantum Physics · Physics 2022-04-26 Matteo Ippoliti , Tibor Rakovszky , Vedika Khemani

We apply a new method based upon thermofield dynamics (TFD) to study entanglement of finite-spin systems with non-competitive external fields for both equilibrium and non-equilibrium cases. For the equilibrium finite-spin systems, the…

Statistical Mechanics · Physics 2016-02-23 Koichi Nakagawa

In this work, a canonical method to compute entanglement entropy is proposed. We show that for two-dimensional conformal theories defined in a torus, a choice of moduli space allows the typical entropy operator of the TFD to provide the…

High Energy Physics - Theory · Physics 2021-05-27 M. Dias , Daniel L. Nedel , C. R. Senise

In this work, we investigate the entanglement structure in a $\textrm{T}\bar{\textrm{T}}$-deformed holographic CFT$_2$ with a conserved angular momentum. We utilize conformal perturbation theory to compute the leading order correction to…

High Energy Physics - Theory · Physics 2024-10-10 Debarshi Basu , Saikat Biswas

We study the thermodynamics of an uncharged, non-rotating BTZ black hole. In addition to the thermal properties, we are interested in the phase transition between two locally thermodynamic stable phases which may arise from different areas…

High Energy Physics - Theory · Physics 2022-04-22 Sean Knight , Navjot Gadda

Holographic superconductor is an important arena for holography, as it allows concrete calculations to further understand the dictionary between bulk physics and boundary physics. An important quantity of recent interest is the holographic…

High Energy Physics - Theory · Physics 2017-05-29 Mahdi Kord Zangeneh , Yen Chin Ong , Bin Wang

We study the entanglement phase structure of a holographic boundary conformal field theory (BCFT) in a two-dimensional black hole background. The bulk dual is the AdS$_3$ black string geometry with a Karch-Randall brane. We compute the…

High Energy Physics - Theory · Physics 2022-12-28 Hao Geng , Lisa Randall , Erik Swanson

We study quantum correlations and complexity of simulation, characterized by quantum mutual information and entanglement entropy in operator space respectively, for thermal states in critical, non-critical and quantum chaotic spin chains. A…

Quantum Physics · Physics 2008-08-12 Marko Znidaric , Tomaz Prosen , Iztok Pizorn

A general geometrical structure of the entanglement entropy for spatial partition of a relativistic QFT system is established by using methods of the effective gravity action and the spectral geometry. A special attention is payed to the…

High Energy Physics - Theory · Physics 2008-11-26 Dmitri V. Fursaev

We study the application of the rules of Thermo Field Dynamics (TFD) to the covariant formulation of Open String Field Theory (OSFT). We extend the states space and fields according to the duplication rules of TFD and construct the…

High Energy Physics - Theory · Physics 2016-03-23 M. Botta Cantcheff , R. J. Scherer Santos

We study the quantum entanglement of coupled Pais-Uhlenbeck oscillators using the formalism of thermo-field dynamics. The entanglement entropy is computed for the specific cases of two and a ring of $N$ coupled Pais-Uhlenbeck oscillators of…

High Energy Physics - Theory · Physics 2017-04-26 Hristo Dimov , Stefan Mladenov , Radoslav C. Rashkov , Tsvetan Vetsov

In this note, I revisit the problem of computing the entanglement entropy of a single interval in the ground state of a 2d CFT. I write the leading-order result in three different ways: once by doing the replica trick with the…

High Energy Physics - Theory · Physics 2021-10-25 Jennifer Lin

We observe that the entanglement entropy resulting from tracing over a subregion of an initially pure state can grow faster than the surface area of the subregion (indeed, proportional to the volume), in contrast to examples studied…

High Energy Physics - Theory · Physics 2015-06-26 R. Buniy , S. Hsu

In this work we introduce a method for calculating holographic duals of BCFTs with more than two boundaries. We apply it to calculating the dynamics of entanglement entropy in a 1+1d CFT that is instantaneously split into multiple segments…

High Energy Physics - Theory · Physics 2026-02-25 Joseph Dominicus Lap , Berndt Müller , Andreas Schäfer , Clemens Seidl

We study thermodynamic properties and the entanglement island of a black hole in asymptotically safe quantum gravity, analyzing key thermodynamic quantities such as the Hawking temperature, heat capacity, and entropy, as well as the…

General Relativity and Quantum Cosmology · Physics 2025-12-29 Sobhan Kazempour , Sichun Sun , Chengye Yu