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We witness multipartite entanglement in the Kitaev chain -- a benchmark model of one dimensional topological insulator -- also with variable-range pairing, using the quantum Fisher information. Phases having a finite winding number, both…

量子物理 · 物理学 2017-12-27 Luca Pezzè , Marco Gabbrielli , Luca Lepori , Augusto Smerzi

We demonstrate that multipartite entanglement, witnessed by the quantum Fisher information (QFI), can characterize topological quantum phase transitions in the spin-$\frac{1}{2}$ toric code model on a square lattice with external fields. We…

量子物理 · 物理学 2022-06-14 Yu-Ran Zhang , Yu Zeng , Tao Liu , Heng Fan , J. Q. You , Franco Nori

Minimal Kitaev chains host Majorana quasiparticles, which, although not topologically protected, exhibit spatial nonlocality and hence expected to be useful for quantum information tasks. In this work, we consider two- and three-site Kitaev…

量子物理 · 物理学 2025-07-24 Vimalesh Kumar Vimal , Jorge Cayao

In this paper, we study the ground state Quantum Fisher Information (QFI) in one-dimensional spin-1 models, as witness to Multipartite Entanglement. The models addressed are the Bilinear-Biquadratic model, the most general isotropic…

We investigate the diagonal entropy for ground states of the extended Kitaev chains with extensive pairing and hopping terms. The systems contain rich topological phases equivalently represented by topological invariant winding numbers and…

量子物理 · 物理学 2019-12-02 Hong Qiao , Zheng-Hang Sun , Feng-Xiao Sun , Liang-Zhu Mu , Qiongyi He , Heng Fan

Identifying entanglement-based order parameters characterizing topological systems, in particular topological superconductors and topological insulators, has remained a major challenge for the physics of quantum matter in the last two…

统计力学 · 物理学 2022-10-03 Alfonso Maiellaro , Antonio Marino , Fabrizio Illuminati

Identifying and characterizing quantum phases of matter in the presence of long range correlations and/or spatial disorder is, generally, a challenging and relevant task. Here, we study a generalization of the Kiteav chain with…

量子物理 · 物理学 2026-05-11 Luca Pezzè , Luca Lepori

A special feature of the ground state in a topologically ordered phase is the existence of large scale correlations depending only on the topology of the regions. These correlations can be detected by the topological entanglement entropy or…

量子物理 · 物理学 2016-02-15 Kohtaro Kato , Fabian Furrer , Mio murao

Quantum circuit dynamics with local projective measurements can realize a rich spectrum of entangled states of quantum matter. Motivated by the physics of the Kitaev quantum spin liquid [1], we study quantum circuit dynamics in…

强关联电子 · 物理学 2022-07-08 Ali Lavasani , Zhu-Xi Luo , Sagar Vijay

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

The topology of entanglement in multipartite states with translational invariance is discussed in this article. Two global features are foundby which one can distinguish distinct states. These are the cyclic unit and the quantised geometric…

量子物理 · 物理学 2013-06-18 H. T. Cui , J. L. Tian , C. M. Wang , Y. C. Chen

Higher-order topological insulators have attracted significant interest in recent years. However, identifying a universal topological invariant capable of characterizing higher-order topology remains challenging. Here, we propose a…

介观与纳米尺度物理 · 物理学 2025-12-12 Yu-Long Zhang , Cheng-Ming Miao , Qing-Feng Sun , Jian-Jun Liu , Ying-Tao Zhang

Understanding the distribution of quantum entanglement over many parties is a fundamental challenge of quantum physics and is of practical relevance for several applications in the field of quantum information. Here we use methods from…

An exactly solvable Kitaev model in a two-dimensional square lattice exhibits a topological quantum phase transition which is different from the symmetry-breaking transition at zero temperature. When the ground state of a nonlinearly…

量子物理 · 物理学 2025-03-11 Leela Ganesh Chandra Lakkaraju , Sudip Kumar Haldar , Aditi Sen De

Quantum entanglement is a quantum mechanical phenomenon where the quantum state of a many-body system with many degrees of freedom cannot be described independently of the state of each body with a given degree of freedom, no matter how far…

Multipartite entanglement is an essential resource for quantum information tasks, but characterizing entanglement structures in continuous variable systems remains challenging, especially in multimode non-Gaussian scenarios. In this work,…

In recent years, tools from quantum information theory have become indispensable in characterizing many-body systems. In this work, we employ measures of entanglement to study the interplay between disorder and the topological phase in 1D…

介观与纳米尺度物理 · 物理学 2019-01-18 Liron Levy , Moshe Goldstein

We study the entanglement properties of the ground state in Kitaev's model. This is a two-dimensional spin system with a torus topology and nontrivial four-body interactions between its spins. For a generic partition $(A,B)$ of the lattice…

量子物理 · 物理学 2007-05-23 A. Hamma , R. Ionicioiu , P. Zanardi

We elucidate the topological features of the entanglement entropy of a region in two dimensional quantum systems in a topological phase with a finite correlation length $\xi$. Firstly, we suggest that simpler reduced quantities, related to…

强关联电子 · 物理学 2009-11-13 Stefanos Papanikolaou , Kumar S. Raman , Eduardo Fradkin

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
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