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We analyze the computational aspects of detecting topological order in a quantum many-body system. We contrast the widely used topological entanglement entropy with a recently introduced operational definition for topological order based on…

Quantum Physics · Physics 2025-05-09 Louis Fraatz , Amit Jamadagni , Hendrik Weimer

Entanglement is the key quantum resource for improving measurement sensitivity beyond classical limits. However, the production of entanglement in mesoscopic atomic systems has been limited to squeezed states, described by Gaussian…

Quantum information spreading and scrambling in many-body systems attract interests these days. Tripartite mutual information (TMI) based on operator-based entanglement entropy (EE) is an efficient tool for measuring them. In this paper, we…

Quantum Physics · Physics 2022-09-23 Takahiro Orito , Yoshihito Kuno , Ikuo Ichinose

Quantum information science has leaped forward with the exploration of high-dimensional quantum systems, offering greater potential than traditional qubits in quantum communication and quantum computing. To advance the field of…

We investigate the build-up of quasi-long-range order in the XX chain with transverse magnetic field at finite size. As the field is varied, the ground state of the system displays multiple level crossings producing a sequence of…

Quantum Physics · Physics 2009-11-13 Wonmin Son , Luigi Amico , Francesco Plastina , Vlatko Vedral

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 relationship between bipartite entanglement, subsystem particle number and topology in a half-filled free fermion system. It is proposed that the spin-projected particle numbers can distinguish the quantum spin Hall state from…

Mesoscale and Nanoscale Physics · Physics 2014-02-25 Y. F. Zhang , L. Sheng , R. Shen , Rui Wang , D. Y. Xing

We study the macroscopic entanglement properties of a low dimensional quantum spin system by investigating its magnetic properties at low temperatures and high magnetic fields. The tempera- ture and magnetic field dependence of entanglement…

Quantum Physics · Physics 2016-11-26 Diptaranjan Das , Tanmoy Chakraborty , Harkirat Singh , Chiranjib Mitra

In a $d$-dimensional topological insulator of order $d$, there are zero energy states on its corners which have close relationship with its entanglement behaviors. We studied the bipartite entanglement spectra for different subsystem shapes…

Mesoscale and Nanoscale Physics · Physics 2019-07-04 Qiang Wang , Da Wang , Qiang-Hua Wang

We investigate quantum phase transitions in various spin chain systems using the multipartite entanglement measure $\tau_{SEF}$ based on the monogamy inequality of squared entanglement of formation. Our results demonstrate that $\tau_{SEF}$…

Quantum Physics · Physics 2024-01-30 Y. C. Li , Y. H. Zhou , Y. Zhang , Y. K. Bai , H. Q. Lin

Topological phases are characterized by their entanglement properties, which is manifest in a direct relation between entanglement spectra and edge states discovered by Li and Haldane. We propose to leverage the power of synthetic quantum…

Quantum Gases · Physics 2022-05-04 Torsten V. Zache , Christian Kokail , Bhuvanesh Sundar , Peter Zoller

We use the quantum Fisher information (QFI) to diagnose a dynamical phase transition (DPT) in a closed quantum system, which is usually defined in terms of non-analytic behaviour of a time-averaged order parameter. Employing the…

Quantum Physics · Physics 2021-09-08 Qingze Guan , Robert J. Lewis-Swan

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…

Mesoscale and Nanoscale Physics · Physics 2025-12-12 Yu-Long Zhang , Cheng-Ming Miao , Qing-Feng Sun , Jian-Jun Liu , Ying-Tao Zhang

Topological order is now being established as a central criterion for characterizing and classifying ground states of condensed matter systems and complements categorizations based on symmetries. Fractional quantum Hall systems and quantum…

Quantum Physics · Physics 2017-04-25 Mahdi Sameti , Anton Potocnik , Dan E. Browne , Andreas Wallraff , Michael J. Hartmann

Entanglement is a fundamental aspect of quantum physics, both conceptually and for its many applications. Classifying an arbitrary multipartite state as entangled or separable -- a task referred to as the separability problem -- poses a…

Topological entanglement entropy is a topological invariant which can detect topological order of quantum many-body ground state. We assume an existence of such order parameter at finite temperature which is invariant under smooth…

Quantum Physics · Physics 2013-05-30 Isaac H. Kim

The multipartite entanglement structure for the ground states of two dimensional topological phases is an interesting albeit not well understood question. Utilizing the bulk-boundary correspondence, the calculation of tripartite…

Strongly Correlated Electrons · Physics 2024-05-15 Yuhan Liu , Yuya Kusuki , Jonah Kudler-Flam , Ramanjit Sohal , Shinsei Ryu

Presence of entangled states is explicitly shown in Topological insulator (TI) $Bi_2Te_3$. The surface and bulk state are found to have the different structures of entanglement. The surface states live as maximally entangled states in the…

Quantum Physics · Physics 2017-04-04 Anvesh Raja Kovela , Anant Vijay Verma , Prasanta K. Panigrahi , Bhavesh Chauhan

Topological phases of matter are considered the bedrock of novel quantum materials as well as ideal candidates for quantum computers that possess robustness at the physical level. The robustness of the topological phase at finite…

Strongly Correlated Electrons · Physics 2017-05-05 Yu Zeng , Alioscia Hamma , Heng Fan

We present a detailed analysis of bipartite entanglement entropies in fractional quantum Hall (FQH) states, considering both abelian (Laughlin) and non-abelian (Moore-Read) states. We derive upper bounds for the entanglement between two…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 O. S. Zozulya , M. Haque , K. Schoutens , E. H. Rezayi
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