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In this thesis we explore general aspects of the entanglement entropy (EE) for Conformal Field Theories (CFTs) dual to Cubic Curvature Gravity. We derived a covariant expression for the EE by using a scheme inherited from the bulk…

高能物理 - 理论 · 物理学 2023-03-27 Andrés Argandoña

Quantifying quantum entanglement is a pivotal challenge in quantum information science, particularly for high-dimensional systems, due to its computational complexity. This thesis extends the geometric measure of entanglement (GME) to…

量子物理 · 物理学 2025-06-16 Xuanran Zhu

In this paper the geometric entanglement (GE) of systems in one spatial dimension (1D) and in the thermodynamic limit is analyzed focusing on two aspects. First, we reexamine the calculation of the GE for translation-invariant matrix…

强关联电子 · 物理学 2011-08-10 Roman Orus , Tzu-Chieh Wei

Here we investigate the connection between topological order and the geometric entanglement, as measured by the logarithm of the overlap between a given state and its closest product state of blocks. We do this for a variety of…

强关联电子 · 物理学 2014-10-28 Roman Orus , Tzu-Chieh Wei , Oliver Buerschaper , Maarten Van den Nest

This is an extended version of the previous paper arXiv:2103.05303 to study entanglement entropy (EE) of a half space in interacting field theories. In the previous paper, we have proposed a novel method to calculate EE based on the notion…

高能物理 - 理论 · 物理学 2021-06-30 Satoshi Iso , Takato Mori , Katsuta Sakai

Relative entropy of entanglement (REE) is an entanglement measure of bipartite mixed states, defined by the minimum of the relative entropy $S(\rho_{AB}|| \sigma_{AB})$ between a given mixed state $\rho_{AB}$ and an arbitrary separable…

高能物理 - 理论 · 物理学 2018-11-14 Tadashi Takayanagi , Tomonori Ugajin , Koji Umemoto

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

The Entanglement contour function quantifies the contribution from each degree of freedom in a region $\mathcal{A}$ to the entanglement entropy $S_{\mathcal{A}}$. Recently in \cite{Wen:2018whg} the author gave two proposals for the…

高能物理 - 理论 · 物理学 2020-05-20 Qiang Wen

We report on the recent progress in theoretical and numerical studies of entanglement entropy in lattice gauge theories. It is shown that the concept of quantum entanglement between gauge fields in two complementary regions of space can…

高能物理 - 格点 · 物理学 2009-09-29 P. V. Buividovich , M. I. Polikarpov

We study the partial entanglement entropy (PEE) aspects of the holographic BCFT setup with an entanglement island, inspired by the holographic triality of the AdS/BCFT setup developed in the recent study on the black hole information…

高能物理 - 理论 · 物理学 2022-07-13 Yi-Yu Lin , Jia-Rui Sun , Yuan Sun , Jie-Chen Jin

We quantitatively address the following question: for a QFT which is partially compactified, so as to realize an RG flow from a $D$-dimensional CFT in the UV to a $d$-dimensional CFT in the IR, how does the entanglement entropy of a small…

高能物理 - 理论 · 物理学 2023-04-26 Evan Deddo , Leopoldo A. Pando Zayas , Christoph F. Uhlemann

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

Entanglement plays a key role in quantum physics, but how much information it can extract from many-body systems is still an open question, particularly regarding quantum criticalities and emergent symmetries. In this work, we…

强关联电子 · 物理学 2025-11-13 Zhe Wang , Zehui Deng , Zenan Liu , Zhiyan Wang , Yi-Ming Ding , Long Zhang , Wenan Guo , Zheng Yan

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…

高能物理 - 理论 · 物理学 2015-01-07 Song He , Tokiro Numasawa , Tadashi Takayanagi , Kento Watanabe

The entanglement exhibits extremal or singular behavior near quantum critical points (QCPs) in many condensed matter models. These intriguing phenomena, however, still call for a widely accepted understanding. In this letter we study this…

高能物理 - 理论 · 物理学 2016-06-21 Yi Ling , Peng Liu , Jian-Pin Wu

A charged entanglement entropy is a new measure which probes quantum entanglement between different charge sectors. We study symmetry protected topological (SPT) phases in 2+1 dimensional space-time by using this charged entanglement…

强关联电子 · 物理学 2016-05-11 Shunji Matsuura , Xueda Wen , Ling-Yan Hung , Shinsei Ryu

Using the AdS/CFT correspondence, we examine entanglement entropy for a boundary theory deformed by a relevant operator and establish two results. The first is that if there is a contribution which is logarithmic in the UV cut-off, then the…

高能物理 - 理论 · 物理学 2012-11-07 Ling-Yan Hung , Robert C. Myers , Michael Smolkin

Recent work has revealed that entanglement entropy growth in conformal field theories (CFTs) can be suppressed when a local operator quench interacts with a mixed-state excitation, providing a dual interpretation in terms of black hole…

量子物理 · 物理学 2025-10-21 Davood Momeni

We study the entanglement entropy (EE) of Gaussian systems on a lattice with periodic boundary conditions, both in the vacuum and at nonzero temperatures. By restricting the reduced subsystem to periodic sublattices, we can compute the…

量子物理 · 物理学 2017-01-25 Temple He , Javier M. Magan , Stefan Vandoren

We study the entanglement entropy in a relativistic quantum field theory for regions which are not included in a single spatial hyperplane. This geometric configuration cannot be treated with the Euclidean time method and the replica trick.…

高能物理 - 理论 · 物理学 2011-09-30 David D. Blanco , Horacio Casini