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Topological entanglement entropy (TEE) is a key diagnostic of long-range entanglement in two-dimensional gapped phases of matter, but it can suffer from spurious contributions that overestimate the total quantum dimension of the underlying…

量子物理 · 物理学 2026-05-01 Peilun Han , Zijian Liang , Yifei Wang , Bowen Yang , Yingfei Gu , Yu-An Chen

We discuss entanglement entropy of gapped ground states in different dimensions, obtained on partitioning space into two regions. For trivial phases without topological order, we argue that the entanglement entropy may be obtained by…

强关联电子 · 物理学 2011-12-12 Tarun Grover , Ari M. Turner , Ashvin Vishwanath

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…

量子物理 · 物理学 2026-05-05 Joydeep Naskar , Sai Satyam Samal

Entanglement entropies of two-dimensional gapped ground states are expected to satisfy an area law, with a constant correction term known as the topological entanglement entropy (TEE). In many models, the TEE takes a universal value that…

量子物理 · 物理学 2023-11-02 Isaac H. Kim , Michael Levin , Ting-Chun Lin , Daniel Ranard , Bowen Shi

Entanglement entropy~(EE) contains signatures of many universal properties of conformal field theories~(CFTs), especially in the presence of boundaries or defects. In particular, {\it topological} defects are interesting since they reflect…

高能物理 - 理论 · 物理学 2022-06-06 Ananda Roy , Hubert Saleur

We use the topological entanglement entropy (TEE) as an efficient tool to fully characterize the Abelian phase of a $\mathbb{Z}_2 \times \mathbb{Z}_2$ spin liquid emerging as the ground state of topological color code (TCC), which is a…

强关联电子 · 物理学 2017-07-11 Saeed S. Jahromi , Abdollah Langari

Topological phases are unique states of matter which support non-local excitations which behave as particles with fractional statistics. A universal characterization of gapped topological phases is provided by the topological entanglement…

强关联电子 · 物理学 2013-09-10 Hong-Chen Jiang , Rajiv R. P. Singh , Leon Balents

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…

强关联电子 · 物理学 2020-07-13 Ramanjit Sohal , Bo Han , Luiz H. Santos , Jeffrey C. Y. Teo

The entanglement properties of a class of topological stabilizer states, the so called \emph{topological color codes} defined on a two-dimensional lattice or \emph{2-colex}, are calculated. The topological entropy is used to measure the…

量子物理 · 物理学 2009-11-13 Mehdi Kargarian

We consider topological entanglement entropy (TEE) at finite temperature for CSS codes, which include some ordinary topological-ordered systems such as the toric code and some fracton models such as the Haah's code and the X-cube model. We…

强关联电子 · 物理学 2019-10-18 Zhi Li , Roger S. K. Mong

Some topological lattice models in two spatial dimensions exhibit intricate lattice size dependence in their ground state degeneracy (GSD). This and other features such as the position-dependent anyonic excitations are manifestations of…

强关联电子 · 物理学 2025-03-26 Jintae Kim , Yun-Tak Oh , Daniel Bulmash , Jung Hoon Han

The Kitaev surface-code model is the most studied example of a topologically ordered phase and typically involves four-spin interactions on a two-dimensional surface. A universal signature of this phase is topological entanglement entropy…

量子物理 · 物理学 2014-08-29 Tommaso F. Demarie , Trond Linjordet , Nicolas C. Menicucci , Gavin K. Brennen

We investigate the concept of time-like entanglement entropy (tEE) within the framework of holography. We introduce a robust top-down prescription for computing tEE in higher-dimensional QFTs, both conformal and confining, eliminating the…

高能物理 - 理论 · 物理学 2025-07-14 Carlos Nunez , Dibakar Roychowdhury

Topological entanglement entropy (TEE) is a key diagnostic of topological order, allowing to detect the presence of Abelian or non-Abelian anyons. However, there are currently no protocols to measure TEE in condensed matter systems. Here,…

介观与纳米尺度物理 · 物理学 2023-07-19 Sarath Sankar , Eran Sela , Cheolhee Han

Identifying topological phases for a strongly correlated theory remains a non-trivial task, as defining order parameters, such as Berry phases, is not straightforward. Quantum information theory is capable of identifying topological phases…

强关联电子 · 物理学 2024-01-09 Nisa Ara , Rudranil Basu , Emil Mathew , Indrakshi Raychowdhury

Topological phases are unique states of matter incorporating long-range quantum entanglement, hosting exotic excitations with fractional quantum statistics. We report a practical method to identify topological phases in arbitrary realistic…

强关联电子 · 物理学 2012-12-04 Hong-Chen Jiang , Zhenghan Wang , Leon Balents

In this paper we explore how non trivial boundary conditions could influence the entanglement entropy in a topological order in 2+1 dimensions. Specifically we consider the special class of topological orders describable by the quantum…

高能物理 - 理论 · 物理学 2018-06-26 Chaoyi Chen , Ling-Yan Hung , Yingcheng Li , Yidun Wan

Entanglement entropy provides a powerful characterization of two-dimensional gapped topological phases of quantum matter, intimately tied to their description by topological quantum field theories (TQFTs). Fracton topological orders are…

强关联电子 · 物理学 2018-03-08 Han Ma , A. T. Schmitz , S. A. Parameswaran , Michael Hermele , Rahul M. Nandkishore

Entanglement entropy (EE) is a fundamental probe of quantum phases and critical phenomena, which was thought to reflect only bulk universality for a long time. Very recently, people realized that the microscopic geometry of the entanglement…

强关联电子 · 物理学 2026-01-21 Zhe Wang , Chunhao Guo , Bin-Bin Mao , Zheng Yan

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
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