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Topological entanglement entropy (TEE), the sub-leading term in the entanglement entropy of topological order, is the direct evidence of the long-range entanglement. While effective in characterizing topological orders on closed manifolds,…

Strongly Correlated Electrons · Physics 2023-12-04 Yingcheng Li

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

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…

Strongly Correlated Electrons · Physics 2013-09-10 Hong-Chen Jiang , Rajiv R. P. Singh , Leon Balents

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…

Quantum Physics · Physics 2023-11-02 Isaac H. Kim , Michael Levin , Ting-Chun Lin , Daniel Ranard , Bowen Shi

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…

Strongly Correlated Electrons · Physics 2011-12-12 Tarun Grover , Ari M. Turner , Ashvin Vishwanath

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…

Quantum Physics · Physics 2014-08-29 Tommaso F. Demarie , Trond Linjordet , Nicolas C. Menicucci , Gavin K. Brennen

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…

Strongly Correlated Electrons · Physics 2017-07-11 Saeed S. Jahromi , Abdollah Langari

We demonstrate that linear combinations of subregion entropies with canceling boundary terms, commonly used to calculate the topological entanglement entropy, may suffer from spurious nontopological contributions even in models with zero…

Quantum Physics · Physics 2020-04-16 Dominic J. Williamson , Arpit Dua , Meng Cheng

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…

High Energy Physics - Theory · Physics 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,…

Mesoscale and Nanoscale Physics · Physics 2023-07-19 Sarath Sankar , Eran Sela , Cheolhee Han

We develop a holographic framework for computing timelike entanglement entropy (tEE) in quantum field theories, extending the Ryu-Takayanagi prescription into Lorentzian settings. Using three broad classes of supergravity backgrounds, we…

High Energy Physics - Theory · Physics 2025-10-21 Carlos Nunez , Dibakar Roychowdhury

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…

Strongly Correlated Electrons · Physics 2025-03-26 Jintae Kim , Yun-Tak Oh , Daniel Bulmash , Jung Hoon Han

We calculate the topological entanglement entropy (TEE) for a three-dimensional hyperhoneycomb lattice generalization of Kitaev's honeycomb lattice spin model. We find that for this model TEE is not directly determined by the total quantum…

Strongly Correlated Electrons · Physics 2018-09-26 N. C. Randeep , Naveen Surendran

Entanglement entropy (EE) provides a powerful probe of quantum phases, yet its role in identifying topological phase transitions in disordered systems remains underexplored. We introduce an exact EE-based framework that captures topological…

Strongly Correlated Electrons · Physics 2026-04-09 Manish Kumar , Bharadwaj Vedula , Suhas Gangadharaiah , Auditya Sharma

We use the structure of conditionally independent states to analyze the stability of topological entanglement entropy. For the ground state of quantum double or Levin-Wen model, we obtain a bound on the first order perturbation of…

Strongly Correlated Electrons · Physics 2015-06-11 Isaac H. Kim

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…

Strongly Correlated Electrons · Physics 2019-10-18 Zhi Li , Roger S. K. Mong

Topological entanglement entropy has been extensively used as an indicator of topologically ordered phases. We study the conditions needed for two-dimensional topologically trivial states to exhibit spurious contributions that contaminates…

Quantum Physics · Physics 2020-07-29 Kohtaro Kato , Fernando G. S. L. Brandão

This work presents a study of the entanglement entropy (EE) in a class of four-dimensional ${\cal N}=1$ linear quiver SCFTs deformed by the presence of a VEV. We review the holographic backgrounds dual to these theories, and calculate the…

High Energy Physics - Theory · Physics 2025-09-25 Dimitrios Chatzis , Ali Fatemiabhari , Mauro Giliberti , Madison Hammond

Transfer entropy (TE) is an attractive model-free method to detect causality and infer structural connectivity of general digital systems. However it relies on high dimensions used in its definition to clearly remove the memory effect and…

Quantitative Methods · Quantitative Biology 2019-05-13 Zhong-Qi Kyle Tian , Douglas Zhou , David Cai

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…

Strongly Correlated Electrons · Physics 2018-03-08 Han Ma , A. T. Schmitz , S. A. Parameswaran , Michael Hermele , Rahul M. Nandkishore
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