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Related papers: Complexity in a moving mirror model

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We study the entanglement islands and subsystem volume complexity corresponding to the left/ right entanglement of a conformal defect in $d$-dimensions in Randall-Sundrum (RS) braneworld model with subcritical tension brane. The left and…

High Energy Physics - Theory · Physics 2021-05-20 Aranya Bhattacharya , Arpan Bhattacharyya , Pratik Nandy , Ayan K. Patra

Recent work has demonstrated the need to include contributions from entanglement islands when computing the entanglement entropy in QFT states coupled to regions of semiclassical gravity. We propose a new formula for the reflected entropy…

High Energy Physics - Theory · Physics 2020-10-14 Venkatesa Chandrasekaran , Masamichi Miyaji , Pratik Rath

We study the Page curve and information paradox for Kerr AdS black hole in light of entanglement entropy by employing the recently proposed island paradigm. By incorporating the island rule, we show that the entanglement entropy of Kerr AdS…

High Energy Physics - Theory · Physics 2026-02-04 Digen Das , Mozib Bin Awal , Prabwal Phukon

We use the conformal invariance and the holographic correspondence to fully specify the dependence of entanglement entropy on the extrinsic geometry of the 2d surface $\Sigma$ that separates two subsystems of quantum strongly coupled…

High Energy Physics - Theory · Physics 2008-11-26 Sergey N. Solodukhin

We consider a one-dimensional cavity composed of two perfect, fixed mirrors and a mobile membrane in between. Assuming that the membrane starts to move from rest and that the membrane moves appreciably in a time-scale much larger than the…

Optics · Physics 2016-10-05 L. O. Castaños , R. Weder

The island paradigm for the fine-grained entropy of Hawking radiation is applied to eternal charged accelerating black holes. In the absence of the island, the entanglement entropy grows linearly and divergent at late times, while once the…

High Energy Physics - Theory · Physics 2023-07-04 Ming-Hui Yu , Xian-Hui Ge , Cheng-Yuan Lu

In this work new interaction terms between two SYK models are proposed, which allow to define an interaction picture such that it is possible to calculate exactly the vacuum state's time evolution. It is shown that the vacuum evolves as a…

High Energy Physics - Theory · Physics 2021-06-02 Daniel L. Nedel

Recent work has shown how to obtain the Page curve of an evaporating black hole from holographic computations of entanglement entropy. We show how these computations can be justified using the replica trick, from geometries with a spacetime…

High Energy Physics - Theory · Physics 2020-04-16 Geoff Penington , Stephen H. Shenker , Douglas Stanford , Zhenbin Yang

In a 1+1 dimensional QFT on a circle, we consider the von Neumann entanglement entropy of an interval for typical pure states. As a function of the interval size, we expect a Page curve in the entropy. We employ a specific ensemble average…

High Energy Physics - Theory · Physics 2022-01-05 Erez Y. Urbach

The thermodynamics and the entanglement properties of two-dimensional conformal field theories ($2$d CFTs) on curved backgrounds are studied. By means of conformal mapping we study the equivalent system on flat space governed by the…

High Energy Physics - Theory · Physics 2024-06-11 Akihiro Miyata , Masahiro Nozaki , Kotaro Tamaoka , Masataka Watanabe

In this paper we develop a systematic analysis of the properties of entanglement entropy in curved backgrounds using the replica approach. We explore the analytic $(q-1)$ expansion of R\'enyi entropy $S_q$ and its variations; our setup…

High Energy Physics - Theory · Physics 2024-10-31 Arvind Shekar , Marika Taylor

We compare two calculations of the particle density in the superfluid phase of the classical XY model with a chemical potential $\mu$ in 1+1 dimensions.The first relies on exact blocking formulas from the Tensor Renormalization Group (TRG)…

Statistical Mechanics · Physics 2016-01-26 Li-Ping Yang , Yuzhi Liu , Haiyuan Zou , Z. Y. Xie , Y. Meurice

The entanglement entropy of a subsystem of a quantum system is expressed, in the replica approach, through analytic continuation with respect to n of the trace of the n-th power of the reduced density matrix. This trace can be thought of as…

High Energy Physics - Theory · Physics 2008-12-18 Michele Caraglio , Ferdinando Gliozzi

The special theory of relativity teaches us that, although distinct inertial frames perceive the same dynamical laws, space and time intervals differ in value. We revisit the problem of time contraction using the paradigmatic model of a…

Quantum Physics · Physics 2020-05-21 Matheus Fritsch Savi , Renato Moreira Angelo

We use the replica method to compute the entanglement entropy of a universe without gravity entangled in a thermofield-double-like state with a disjoint gravitating universe. Including wormholes between replicas of the latter gives an…

High Energy Physics - Theory · Physics 2021-03-17 Vijay Balasubramanian , Arjun Kar , Tomonori Ugajin

We evaluate the entanglement entropy of a non-minimal coupling Einstein-scalar theory with two approaches in classical Euclidean gravity. By analysing the equation of motion, we find that the entangled surface is restricted to be a minimal…

High Energy Physics - Theory · Physics 2016-06-29 Bing Sun , Weizhen Jia , Xingyang Yu

In this paper, we study the entanglement entropy in string theory in the simplest setup of dividing the nine dimensional space into two halves. This corresponds to the leading quantum correction to the horizon entropy in string theory on…

High Energy Physics - Theory · Physics 2015-01-07 Song He , Tokiro Numasawa , Tadashi Takayanagi , Kento Watanabe

We compute the subregion entanglement entropy for a doubly holographic black string model. This system consists of a non-gravitating bath and a gravitating brane, where we incorporate dynamic gravity by adding a DGP term. This opens up a…

High Energy Physics - Theory · Physics 2023-05-24 Carlos Perez-Pardavila

We propose a holographic formalism for a timelike entanglement entropy in non-conformal theories. This pseudoentropy is a complex-valued measure of information, which, in holographic non-conformal theories, receives contributions from a set…

High Energy Physics - Theory · Physics 2024-04-03 Mir Afrasiar , Jaydeep Kumar Basak , Dimitrios Giataganas

We investigate the evolution of complexity and entanglement following a quench in a one-dimensional topological system, namely the Su-Schrieffer-Heeger model. We demonstrate that complexity can detect quantum phase transitions and shows…

High Energy Physics - Theory · Physics 2020-11-13 Tibra Ali , Arpan Bhattacharyya , S. Shajidul Haque , Eugene H. Kim , Nathan Moynihan