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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…

强关联电子 · 物理学 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…

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

The topological entanglement entropy (TEE) is a robust measurement of the quantum many-body state with topological order. In fractional quantum Hall (FQH) state, it has a connection to the quantum dimension of the state itself and its…

强关联电子 · 物理学 2018-01-30 Na Jiang , Qi Li , Zheng Zhu , Zi-Xiang Hu

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

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

We calculate the topological entanglement entropy (TEE) in Euclidean asymptotic AdS3 spacetime using surgery. The treatment is intrinsically three-dimensional. In the BTZ black hole background, several different bipartitions are applied.…

高能物理 - 理论 · 物理学 2017-12-27 Zhu-Xi Luo , Hao-Yu Sun

Topological semimetals are a class of many-body systems exhibiting novel macroscopic quantum phenomena at the interplay between high energy and condensed matter physics. They display a topological quantum phase transition (TQPT) which…

高能物理 - 理论 · 物理学 2023-06-02 Matteo Baggioli , Yan Liu , Xin-Meng Wu

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

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,…

强关联电子 · 物理学 2023-12-04 Yingcheng Li

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

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

Recent experiments have demonstrated that measurements of the entropy change associated with the addition of electrons to semiconductor- and graphene-based quantum dots accurately quantify the spin and orbital degeneracy of the states into…

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

We study entanglement entropy (EE) for a Maxwell field in 2+1 dimensions. We do numerical calculations in two dimensional lattices. This gives a concrete example of the general results of our recent work on entropy for lattice gauge fields…

高能物理 - 理论 · 物理学 2015-06-19 Horacio Casini , Marina Huerta

We study entanglement entropy (EE) in interacting quantum field theories (QFTs) at finite density. We argue that, in the limit of large subregions, the derivative of EE with respect to the size of the entangling region approaches the…

高能物理 - 理论 · 物理学 2026-03-10 Niko Jokela , Aatu Rajala , Tobias Rindlisbacher

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…

强关联电子 · 物理学 2018-09-26 N. C. Randeep , Naveen Surendran

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

We study the $n=2$ R\' enyi entanglement entropy of the triangular quantum dimer model via Monte Carlo sampling of Rokhsar-Kivelson(RK)-like ground state wavefunctions. Using the construction proposed by Kitaev and Preskill [Phys. Rev.…

统计力学 · 物理学 2013-03-19 Alexander Selem , C. M. Herdman , K. Birgitta Whaley

Recently it was shown that the topological entanglement entropy (TEE) of a two-dimensional gapped ground state obeys the universal inequality $\gamma \geq \log \mathcal{D}$, where $\gamma$ is the TEE and $\mathcal{D}$ is the total quantum…

量子物理 · 物理学 2024-10-23 Michael Levin

Strongly interacting systems can be described in terms of correlation functions at various orders. A quantum analog of high-order correlations is the topological entanglement in topologically ordered states of matter at zero temperature,…

量子物理 · 物理学 2023-11-08 Shi Feng , Deqian Kong , Nandini Trivedi
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