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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…

高能物理 - 理论 · 物理学 2017-10-25 Johanna Erdmenger , Daniel Fernandez , Mario Flory , Eugenio Megias , Ann-Kathrin Straub , Piotr Witkowski

Renormalized entanglement entropy can be defined using the replica trick for any choice of renormalization scheme; renormalized entanglement entropy in holographic settings is expressed in terms of renormalized areas of extremal surfaces.…

高能物理 - 理论 · 物理学 2021-12-28 Marika Taylor , Linus Too

We explore holographic entanglement entropy for Minkowski spacetime in three and four dimensions. Under some general assumptions on the putative holographic dual, the entanglement entropy associated to a special class of subregions can be…

高能物理 - 理论 · 物理学 2019-12-10 Victor Godet , Charles Marteau

We compute the bulk entanglement entropy across the Ryu-Takayanagi surface for a one-particle state in a scalar field theory in AdS$_3$. We work directly within the bulk Hilbert space and include the spatial spread of the scalar…

高能物理 - 理论 · 物理学 2018-09-26 Alexandre Belin , Nabil Iqbal , Sagar F. Lokhande

Headrick and Takayanagi showed that the Ryu-Takayanagi holographic entanglement entropy formula generally obeys the strong subadditivity (SSA) inequality, a fundamental property of entropy. However, the Ryu-Takayanagi formula only applies…

高能物理 - 理论 · 物理学 2015-06-04 Robert Callan , Jianyang He , Matthew Headrick

The Ryu-Takayanagi (RT) formula has been a key ingredient in our understanding of holography. Recent work on TT deformations has also boosted our understanding of holography away from the conformal boundary of AdS. In this short note, we…

高能物理 - 理论 · 物理学 2019-07-24 Chitraang Murdia , Yasunori Nomura , Pratik Rath , Nico Salzetta

We derive a generalized version of the Ryu-Takayanagi formula for the entanglement entropy in arbitrary diffeomorphism invariant field theories. We use a recent framework which expresses the measurable quantities of a quantum theory as a…

高能物理 - 理论 · 物理学 2025-08-21 Artem Averin

In the context of holographic duality with AdS3 asymptotics, the Ryu-Takayanagi formula states that the entanglement entropy of a subregion is given by the length of a certain bulk geodesic. The entanglement entropy can be operationalized…

高能物理 - 理论 · 物理学 2016-04-05 Bartlomiej Czech , Patrick Hayden , Nima Lashkari , Brian Swingle

We study entanglement entropy in two-dimensional conformal field theories with a gravitational anomaly. In theories with gravity duals, this anomaly is holographically represented by a gravitational Chern-Simons term in the bulk action. We…

高能物理 - 理论 · 物理学 2015-06-19 Alejandra Castro , Stephane Detournay , Nabil Iqbal , Eric Perlmutter

We develop a formalism for calculating the entanglement entropy of an arbitrary spatial region of a gravitating spacetime at a moment of time symmetry. The crucial ingredient is a path integral over embeddings of the region into the overall…

高能物理 - 理论 · 物理学 2024-01-12 Vijay Balasubramanian , Charlie Cummings

A recent proposal by Ryu and Takayanagi for a holographic interpretation of entanglement entropy in conformal field theories dual to supergravity on anti-de Sitter (adS) is generalized to include entanglement entropy of black holes living…

高能物理 - 理论 · 物理学 2009-11-11 Sergey N. Solodukhin

We provide a derivation of holographic entanglement entropy for spherical entangling surfaces. Our construction relies on conformally mapping the boundary CFT to a hyperbolic geometry and observing that the vacuum state is mapped to a…

高能物理 - 理论 · 物理学 2011-05-12 Horacio Casini , Marina Huerta , Robert C. Myers

We propose a new example of entanglement knitting spacetime together, satisfying a series of checks of the corresponding von Neumann and Renyi entropies. The conjectured dual of de Sitter in d+1 dimensions involves two coupled CFT sectors…

高能物理 - 理论 · 物理学 2018-08-01 Xi Dong , Eva Silverstein , Gonzalo Torroba

We investigate the time evolution of reflected entropy and entanglement negativity for mixed state configurations involving two adjacent and disjoint intervals in the radiation flux of moving mirrors by utilizing the $AdS/BCFT$ duality.…

高能物理 - 理论 · 物理学 2022-09-28 Jaydeep Kumar Basak , Debarshi Basu , Vinay Malvimat , Himanshu Parihar , Gautam Sengupta

Using the Ryu-Takayanagi conjectured formula for entanglement entropy in the context of gauge-gravity duality, we investigate properties of mutual information between two disjoint rectangular sub-systems in finite temperature relativistic…

高能物理 - 理论 · 物理学 2013-07-09 Willy Fischler , Arnab Kundu , Sandipan Kundu

Recently, it has been shown by Balasubramanian et al. and Myers et al. that the Bekenstein-Hawking entropy formula evaluated on certain closed surfaces in the bulk of a holographic spacetime has an interpretation as the differential entropy…

高能物理 - 理论 · 物理学 2015-06-22 Matthew Headrick , Robert C. Myers , Jason Wien

We argue that the holographic formula relating entanglement entropy and the area of a minimal surface is the key to define the area of surfaces in the (emergent) spacetime from the dual theory on the boundary. So we promote the entropy/area…

高能物理 - 理论 · 物理学 2014-04-14 Marcelo Botta Cantcheff

For pure states of multi-dimensional quantum lattice systems, which in a convenient computational basis have amplitude and phase structure of sufficiently rapid decorrelation, we construct high fidelity approximations of relatively low…

量子物理 · 物理学 2025-03-18 Michael Aizenman , Simone Warzel

The Ryu-Takayanagi conjecture connects the entanglement entropy in the boundary CFT to the area of open co-dimension two minimal surfaces in the bulk. Especially in AdS(4), the latter are two-dimensional surfaces, and, thus, solutions of a…

高能物理 - 理论 · 物理学 2017-12-12 Georgios Pastras

Recently, the reflected entropy is proposed in holographic approach to describe the entanglement of a bipartite quantum system in a mixed state, which is identified as the area of the reflected minimal surface inside the entanglement wedge.…

高能物理 - 理论 · 物理学 2022-02-08 Yi Ling , Peng Liu , Yuxuan Liu , Chao Niu , Zhuo-Yu Xian , Cheng-Yong Zhang
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