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Topologically ordered phases of matter can be characterized by the presence of a universal, constant contribution to the entanglement entropy known as the topological entanglement entropy (TEE). The TEE can been calculated for Abelian…

Strongly Correlated Electrons · Physics 2020-07-13 Ramanjit Sohal , Bo Han , Luiz H. Santos , Jeffrey C. Y. Teo

Topological entanglement entropy (TEE) is an efficient way to detect topological order in the ground state of gapped Hamiltonians. The seminal work of Kitaev and Preskill~\cite{preskill-kitaev-tee} and simultaneously by Levin and…

Quantum Physics · Physics 2026-05-05 Joydeep Naskar , Sai Satyam Samal

Entanglement entropy in topologically ordered matter phases has been computed extensively using various methods. In this paper, we study the entanglement entropy of topological phases in two-spaces from a new perspective---the perspective…

Strongly Correlated Electrons · Physics 2019-06-14 Yuting Hu , Yidun Wan

One-dimensional quantum emitters with chiral couplings can exhibit nonreciprocal decay channels, along with light-induced dipole-dipole interactions mediated via an atom-waveguide interface. When the position disorders are introduced to…

Quantum Physics · Physics 2020-10-28 H. H. Jen

The reduced density matrix of many-body systems possessing an additive conserved quantity can be decomposed in orthogonal sectors which can be independently analyzed. Recently, these have been proven to equally contribute to entanglement…

Statistical Mechanics · Physics 2020-08-05 Xhek Turkeshi , Paola Ruggiero , Vincenzo Alba , Pasquale Calabrese

In this paper we study the effect of non-trivial spatial topology on quantum entanglement by examining the degenerate ground states of a topologically ordered system on torus. Using the string-net (fixed-point) wave-function, we propose a…

Strongly Correlated Electrons · Physics 2016-08-17 Zhu-Xi Luo , Yu-Ting Hu , Yong-Shi Wu

The classification of electron systems according to their topology has been at the forefront of condensed matter research in recent years. It has been found that systems of the same symmetry, previously thought of as equivalent, may in fact…

Strongly Correlated Electrons · Physics 2015-01-09 Jan Borchmann , Aaron Farrell , Shunji Matsuura , T. Pereg-Barnea

Entanglement is a central subject in quantum mechanics. Due to its genuine relativistic behavior and fundamental nature, high-energy colliders are attractive systems for the experimental study of fundamental aspects of quantum mechanics. We…

Quantum Physics · Physics 2021-09-08 Yoav Afik , Juan Ramón Muñoz de Nova

We use the entanglement negativity, a measure of entanglement for mixed states, to probe the structure of entanglement in the ground state of a topologically ordered system. Through analytical calculations of the negativity in the ground…

Quantum Physics · Physics 2015-06-16 Yirun Arthur Lee , Guifre Vidal

We discuss multipartitions of the gapped ground states of (2+1)-dimensional topological liquids into three (or more) spatial regions that are adjacent to each other and meet at points. By considering the reduced density matrix obtained by…

Strongly Correlated Electrons · Physics 2022-03-14 Yuhan Liu , Ramanjit Sohal , Jonah Kudler-Flam , Shinsei Ryu

We study the ground-state entanglement of gapped domain walls between topologically ordered systems in two spatial dimensions. We derive a universal correction to the ground-state entanglement entropy, which is equal to the logarithm of the…

Strongly Correlated Electrons · Physics 2021-06-01 Bowen Shi , Isaac H. Kim

Topological physics opens a door towards flexible routing and resilient localization of waves of various nature. Recently proposed higher-order topological insulators provide advanced control over wave localization in the structures of…

We study entanglement entropy of unusual $\mathbb{Z}_N$ topological stabilizer codes which admit fractional excitations with restricted mobility constraint in a manner akin to fracton topological phases. It is widely known that the…

Strongly Correlated Electrons · Physics 2024-07-30 Hiromi Ebisu

We study the entropy of chiral 2+1-dimensional topological phases, where there are both gapped bulk excitations and gapless edge modes. We show how the entanglement entropy of both types of excitations can be encoded in a single partition…

Statistical Mechanics · Physics 2008-11-26 Paul Fendley , Matthew P. A. Fisher , Chetan Nayak

We consider systems of interacting spins and study the entanglement that can be localized, on average, between two separated spins by performing local measurements on the remaining spins. This concept of Localizable Entanglement (LE) leads…

Quantum Physics · Physics 2007-05-23 M. Popp , F. Verstraete , M. A. Martin-Delgado , J. I. Cirac

The existence of degenerate or gapless edge states is a characteristic feature of topological insulators, but is difficult to detect in the presence of interactons. We propose a new method to obtain the degeneracy of the edge states from…

Strongly Correlated Electrons · Physics 2015-03-12 Da Wang , Shenglong Xu , Yu Wang , Congjun Wu

We introduce an experimentally accessible network representation for many-body quantum states based on entanglement between all pairs of its constituents. We illustrate the power of this representation by applying it to a paradigmatic spin…

Quantum Physics · Physics 2022-06-30 Boris Sokolov , Matteo A. C. Rossi , Guillermo García-Pérez , Sabrina Maniscalco

Topological properties of quantum systems are one of the most intriguing emerging phenomena in condensed matter physics. A crucial property of topological systems is the symmetry-protected robustness towards local noise. Experiments have…

Quantum Physics · Physics 2022-12-05 Guliuxin Jin , Eliska Greplova

This study investigates the entanglement properties of disordered free fermion systems undergoing an Anderson phase transition from a delocalized to a localized phase. The entanglement entropy is employed to quantify the degree of…

Strongly Correlated Electrons · Physics 2023-09-26 Mohammad Pouranvari

We investigate the nature of quantum entanglement in long-range orders and spontaneous symmetry breaking. It is shown that diminishing of entanglement between the condensate mode and the rest of the system underlies off-diagonal long-range…

Condensed Matter · Physics 2009-11-07 Yu Shi