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We study the one-dimensional hard-core Bose-Hubbard model with three-body interactions. In previous work[1], the two-thirds filling solid with both bond-wave order (BOW) and charge-density wave order (CDW) is found and it undergoes a second…

Quantum Gases · Physics 2014-11-04 Jie Ren , Tao Wang , Xue-Fen Xu , Xue-Feng Zhang

According to Ryu and Takayanagi, the entanglement entropy in conformal field theory (CFT) is related through the AdS/CFT correspondence to the area of a minimal surface in the bulk. We study this holographic geometrical method of…

High Energy Physics - Theory · Physics 2018-07-18 Pavel Krtous , Andrei Zelnikov

In arXiv:1601.02634 it was observed that asymptotic boundary conditions play an important role in the study of holographic entanglement beyond AdS/CFT. In particular, the Ryu-Takayanagi proposal must be modified for warped AdS$_3$…

High Energy Physics - Theory · Physics 2018-08-08 Wei Song , Qiang Wen , Jianfei Xu

The pseudo entropy is a promising recent generalization of the entanglement entropy to the situations in which both the initial and final state are involved, with the density matrix promoted to the transition matrix. However, in contrast to…

High Energy Physics - Theory · Physics 2023-06-02 Zhou Chen

We study the timelike entanglement entropy (TEE) in two dimensional conformal field theories (CFT) with gravitational anomalies. We employ analytical continuation to compute the timelike entanglement entropy for a pure timelike interval in…

High Energy Physics - Theory · Physics 2025-08-08 Chong-Sun Chu , Himanshu Parihar

Anyon condensation forms a mechanism which allows to relate different topological phases. We study anyon condensation in the framework of Projected Entangled Pair States (PEPS) where topological order is characterized through local…

Strongly Correlated Electrons · Physics 2017-06-21 Kasper Duivenvoorden , Mohsin Iqbal , Jutho Haegeman , Frank Verstraete , Norbert Schuch

The properties of the entanglement entropy (EE) in one-dimensional disordered interacting systems are studied. Anderson localization leaves a clear signature on the average EE, as it saturates on length scale exceeding the localization…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 Richard Berkovits

We develop a theory of nucleation on top of two-dimensional islands bordered by steps with an additional energy barrier $\Delta E_S$ for descending atoms. The theory is based on the concept of the residence time of an adatom on the…

Materials Science · Physics 2007-05-23 Joachim Krug , Paolo Politi , Thomas Michely

Edge bit in an average symmetry protected topological (ASPT) mixed state is studied. The state is protected by one strong $Z_2$ and one weak (average) $Z_2$ symmetries. As analogous objects of pure symmetry protected topological (SPT)…

Quantum Physics · Physics 2025-12-04 Yoshihito Kuno

We investigate a recent conjecture connecting the AdS/CFT correspondence and entanglement renormalization tensor network states (MERA). The proposal interprets the tensor connectivity of the MERA states associated to quantum many body…

High Energy Physics - Theory · Physics 2013-06-27 Javier Molina-Vilaplana

In this article, we review recent progresses on the holographic understandings of the entanglement entropy in the AdS/CFT correspondence. After reviewing the general idea of holographic entanglement entropy, we will explain its applications…

High Energy Physics - Theory · Physics 2009-12-08 Tatsuma Nishioka , Shinsei Ryu , Tadashi Takayanagi

Recent results suggest that new corrections to holographic entanglement entropy should arise near phase transitions of the associated Ryu-Takayanagi (RT) surface. We study such corrections by decomposing the bulk state into fixed-area…

High Energy Physics - Theory · Physics 2020-12-30 Donald Marolf , Shannon Wang , Zhencheng Wang

Entanglement entropy satisfies a first law-like relation, which equates the first order perturbation of the entanglement entropy for the region $A$ to the first order perturbation of the expectation value of the modular Hamiltonian, $\delta…

High Energy Physics - Theory · Physics 2021-10-25 Muxin Han , Qiang Wen

Quantum corrections to holographic entanglement entropy require knowledge of the bulk quantum state. In this paper, we derive a novel dual prescription for the generalized entropy that allows us to interpret the leading quantum corrections…

High Energy Physics - Theory · Physics 2022-02-25 Cesar A. Agón , Juan F. Pedraza

We derive a series of quantitative bulk-boundary correspondences for 3D bosonic and fermionic symmetry-protected topological (SPT) phases under the assumption that the surface is gapped, symmetric and topologically ordered, i.e., a…

Strongly Correlated Electrons · Physics 2021-08-18 Shang-Qiang Ning , Bin-Bin Mao , Zhengqiao Li , Chenjie Wang

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…

High Energy Physics - Theory · Physics 2018-11-14 Tadashi Takayanagi , Tomonori Ugajin , Koji Umemoto

High Entropy Alloys (HEAs) contain near equimolar amounts of five or more elements and are a compelling space for materials design. Great emphasis is placed on identifying HEAs that form a homogeneous solid-solution, but the design of such…

Materials Science · Physics 2021-04-20 Daniel Evans , Jiadong Chen , Geoffroy Hautier , Wenhao Sun

In the AdS/CFT correspondence, bulk causal structure has consequences for boundary entanglement. In quantum information science, causal structures can be replaced by distributed entanglement for the purposes of information processing. In…

High Energy Physics - Theory · Physics 2022-12-01 Alex May , Jonathan Sorce , Beni Yoshida

It was shown recently, building on work of Alexakis, Balehowksy, and Nachman that the geometry of (some portion of) a manifold with boundary is uniquely fixed by the areas of a foliation of two-dimensional disk-shaped surfaces anchored to…

High Energy Physics - Theory · Physics 2021-02-03 Ning Bao , ChunJun Cao , Sebastian Fischetti , Jason Pollack , Yibo Zhong

We study three different types of local quenches (local operator, splitting and joining) in both the free fermion and holographic CFTs in two dimensions. We show that the computation of a quantity called entanglement density, provides a…

High Energy Physics - Theory · Physics 2019-03-29 Teppei Shimaji , Tadashi Takayanagi , Zixia Wei
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