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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 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

Thanks to their prominent collective character, long-range interactions promote information spreading and generate forms of entanglement scaling, which cannot be observed in traditional systems with local interactions. In this work, we…

量子物理 · 物理学 2023-05-18 Andrea Solfanelli , Stefano Ruffo , Sauro Succi , Nicolò Defenu

The interplay of topology and disorder in non-equilibrium quantum systems is an intriguing subject. Here, we look for a suitable platform that enables an in-depth exploration of the topic. To this end, We analyze the topological and…

介观与纳米尺度物理 · 物理学 2024-09-05 Koustav Roy , Shilpi Roy , Saurabh Basu

We explore the behaviour of the disconnected entanglement entropy (DEE) across the topological phases of a long range interacting Kitaev chain where the long range interactions decay as a power law with an exponent $\alpha$. We show that…

统计力学 · 物理学 2022-02-08 Saikat Mondal , Souvik Bandyopadhyay , Sourav Bhattacharjee , Amit Dutta

We demonstrate that multipartite entanglement is able to characterize one-dimensional symmetry-protected topological order, which is witnessed by the scaling behavior of the quantum Fisher information of the ground state with respect to the…

量子物理 · 物理学 2018-06-22 Yu-Ran Zhang , Yu Zeng , Heng Fan , J. Q. You , Franco Nori

The intricate interplay between unitary evolution and projective measurements could induce entanglement phase transitions in the nonequilibrium dynamics of quantum many-particle systems. In this work, we uncover loss-induced entanglement…

量子物理 · 物理学 2024-03-21 Longwen Zhou

A characterization of topological order in terms of bi-partite entanglement was proposed recently [A. Kitaev and J. Preskill, Phys. Rev. Lett. 96, 110404 (2006); M. Levin and X.-G. Wen, ibid, 110405]. It was argued that in a topological…

强关联电子 · 物理学 2011-11-09 Shunsuke Furukawa , Gregoire Misguich

In this paper we complete the study on the asymptotic behaviour of the entanglement entropy for Kitaev chains with long range pairing. We discover that when the couplings decay with the distance with a critical exponent new properties for…

量子物理 · 物理学 2018-06-06 F. Ares , J. G. Esteve , F. Falceto , A. R. de Queiroz

The entanglement of different parts of a quantum system is expected to be proportional to the common interface area. Therefore alterations across the interface will lead to changes on the behavior of entanglement entropy. In this work, the…

统计力学 · 物理学 2021-12-08 Dalson Eloy Almeida

In an attempt to theoretically investigate the quantum phase transition and criticality in topological models, we study Kitaev chain with longer-range couplings (finite number of neighbors) as well as truly long-range couplings (infinite…

强关联电子 · 物理学 2021-08-18 Y R Kartik , Ranjith R Kumar , S Rahul , Nilanjan Roy , Sujit Sarkar

Time-delay systems are, in many ways, a natural set of dynamical systems for natural scientists to study because they form an interface between abstract mathematics and data. However, they are complicated because past states must be…

混沌动力学 · 物理学 2007-10-16 D. J. Albers , Fatihcan M. Atay

The topological entanglement entropy is used to measure long-range quantum correlations in the ground state of topological phases. Here we obtain closed form expressions for topological entropy of (2+1)- and (3+1)-dimensional loop gas…

量子物理 · 物理学 2022-01-26 Jacob C. Bridgeman , Benjamin J. Brown , Samuel J. Elman

We calculate the topological entanglement entropy in bilayer quantum Hall systems, dividing the set of quantum numbers into four parts. This topological entanglement entropy allows us to draw a phase diagram in the parameter space of layer…

强关联电子 · 物理学 2015-06-16 Myung-Hoon Chung

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

We study the scaling of the entanglement entropy in different classes of one-dimensional fermionic quasiperiodic systems with and without pairing, focusing on multifractal critical points/phases. We find that the entanglement entropy scales…

强关联电子 · 物理学 2024-03-12 Miguel Gonçalves

Entanglement entropy is a fundamental concept with rising importance in different fields ranging from quantum information science, black holes to materials science. In complex materials and systems, entanglement entropy provides insight…

We numerically study the quantum phase transitions and the stability of Majorana zero modes in a generalized Kitaev model in one dimension when the chemical potential is periodically modulating in space. By using the exact diagonalization…

统计力学 · 物理学 2016-06-17 Takumi Ohta , Keisuke Totsuka

Quantum many-body states that frequently appear in physics often obey an entropy scaling law, meaning that an entanglement entropy of a subsystem can be expressed as a sum of terms that scale linearly with its volume and area, plus a…

量子物理 · 物理学 2021-05-26 Isaac H. Kim

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
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