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We study the evolution of the universal area law of entanglement entropy when the Hamiltonian of the system undergoes a time dependent perturbation. In particular, we derive a general formula for the time dependent first order correction to…

高能物理 - 理论 · 物理学 2016-09-21 Stefan Leichenauer , Mudassir Moosa , Michael Smolkin

We propose a codimension two holography between a gravitational theory on a $d+1$ dimensional wedge spacetime and a $d-1$ dimensional CFT which lives on the corner of the wedge. Formulating this as a generalization of AdS/CFT, we explain…

高能物理 - 理论 · 物理学 2021-01-21 Ibrahim Akal , Yuya Kusuki , Tadashi Takayanagi , Zixia Wei

The trace over the degrees of freedom located in a subset of the space transforms the vacuum state into a mixed density matrix with non zero entropy. This is usually called entanglement entropy, and it is known to be divergent in quantum…

高能物理 - 理论 · 物理学 2009-11-10 H. Casini , M. Huerta

We study the possibility that black hole entropy be identified as entropy of entanglement across the horizon of the vacuum of a quantum field in the presence of the black hole. We argue that a recent proposal for computing entanglement…

高能物理 - 理论 · 物理学 2009-11-11 Roberto Emparan

In this paper, we investigate the entanglement dynamics induced by a composite operator, defined as the local operator evolved with the time evolution operator constructed of the Euclidean and Lorentzian ones. The systems under…

高能物理 - 理论 · 物理学 2025-08-12 Weibo Mao , Masahiro Nozaki

In this paper, we study the entanglement entropy of a single interval on a cylinder in two-dimensional $T\overline{T}$-deformed conformal field theory. For such case, the (R\'enyi) entanglement entropy takes a universal form in a CFT. We…

高能物理 - 理论 · 物理学 2018-11-07 Bin Chen , Lin Chen , Peng-xiang Hao

In this paper, we analyze the double Wick rotation of a rotating BTZ black hole and the entanglement entropy. We derive the transition matrix dual to the double Wick-rotated BTZ black hole, which has the usual shape at an imaginary chemical…

高能物理 - 理论 · 物理学 2026-04-20 Huayu Dai , Xi-Hao Fang , Mitsutoshi Fujita , Song He

For a perturbation of the state of a Conformal Field Theory (CFT), the response of the entanglement entropy is governed by the so-called "first law" of entanglement entropy, in which the change in entanglement entropy is proportional to the…

高能物理 - 理论 · 物理学 2017-09-27 Andy O'Bannon , Jonas Probst , Ronnie Rodgers , Christoph F. Uhlemann

The Renyi entropies and entanglement entropy of 1+1 CFTs with gravity duals can be computed by explicit construction of the bulk spacetimes dual to branched covers of the boundary geometry. At the classical level in the bulk this has…

高能物理 - 理论 · 物理学 2013-12-16 Taylor Barrella , Xi Dong , Sean A. Hartnoll , Victoria L. Martin

Applying a rule-based holographic method, we investigate the reconstruction of dual gravity theories from the quantum field theory (QFT) data, specifically entanglement entropy. We first derive a three-dimensional black hole geometry from…

高能物理 - 理论 · 物理学 2026-04-03 Jaehyeok Huh , Chanyong Park

We develop a method to calculate generic time-dependent correlation functions for inhomogeneous quantum quenches in (1+1)-dimensional conformal field theory (CFT) induced by sudden Hamiltonian deformations that modulate the energy density…

统计力学 · 物理学 2025-06-06 Xinyu Liu , Alexander McDonald , Tokiro Numasawa , Biao Lian , Shinsei Ryu

We consider deformation of a generic $d$ dimensional ($d\geq 2$) large-$N$ CFT on a sphere by a spin-0 operator which is bilinear in the components of the stress tensor. Such a deformation has been proposed to be holographically dual to an…

高能物理 - 理论 · 物理学 2019-09-26 Aritra Banerjee , Arpan Bhattacharyya , Soumangsu Chakraborty

We use holography in order to study the entanglement entropy for a spherical entangling surface in a FRW background with an arbitrary time dependence of the scale factor. The calculation is done in various dimensions, allowing for nonzero…

高能物理 - 理论 · 物理学 2021-07-07 D. Giataganas , N. Tetradis

We study the entanglement entropy of gauged internal degrees of freedom in a two dimensional symmetric product orbifold CFT, whose configurations consist of $N$ strands sewn together into "long" strings, with wavefunctions symmetrized under…

高能物理 - 理论 · 物理学 2019-02-20 Vijay Balasubramanian , Ben Craps , Tim De Jonckheere , Gábor Sárosi

We study the relative R\'enyi entropy (RRE) under local quenches in two-dimensional conformal field theories (CFTs), focusing on rational CFTs (RCFTs) and holographic CFTs. In RCFTs, the RRE evolves as a monotonic function over time,…

高能物理 - 理论 · 物理学 2025-12-22 Zi-Xuan Zhao , Song He , Hao Ouyang , Hong-an Zeng , Yu-Xuan Zhang

We compute the entanglement entropy for some quantum field theories on de Sitter space. We consider a superhorizon size spherical surface that divides the spatial slice into two regions, with the field theory in the standard vacuum state.…

高能物理 - 理论 · 物理学 2015-06-11 Juan Maldacena , Guilherme L. Pimentel

We study the evolution of the holographic entanglement entropy (HEE) and the holographic complexity (HC) after a thermal quench in $1+1$ dimensional boundary CFTs dual to massive BTZ black holes. The study indicates how the graviton mass…

高能物理 - 理论 · 物理学 2019-09-06 Yu-Ting Zhou , Mahdis Ghodrati , Xiao-Mei Kuang , Jian-Pin Wu

In this work we study the time evolution of Renyi entanglement entropy for locally excited states created by twist operators in cyclic orbifold $(T^2)^n/\mathbb{Z}_n$ and symmetric orbifold $(T^2)^n/S_n$. We find that when the square of its…

高能物理 - 理论 · 物理学 2017-05-30 Pawel Caputa , Yuya Kusuki , Tadashi Takayanagi , Kento Watanabe

The evolution of the Von Neumann entanglement entropy of a $n$-dimensional mirror influenced by the strongly coupled $d$-dimensional quantum critical fields with a dynamic exponent $z$ is studied by the holographic approach. The dual…

高能物理 - 理论 · 物理学 2019-07-24 Da-Shin Lee , Chen-Pin Yeh

In this paper we investigate the properties of the symmetry resolved entanglement entropy after a mass quench in the Ising field theory. Since the theory is free and the post-quench state known explicitly, the one-point function of the…

高能物理 - 理论 · 物理学 2025-07-17 Federico Rottoli , Michele Mazzoni , Fabio Sailis , Olalla A. Castro-Alvaredo