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The entanglement properties of the phase transition in a two dimensional harmonic lattice, similar to the one observed in recent ion trap experiments, are discussed both, for finite number of particles and thermodynamical limit. We show…

Quantum Physics · Physics 2015-05-13 Elisabeth Rieper , Janet Anders , Vlatko Vedral

We introduce a new measure called reduced entropy of sublattice to quantify entanglement in spin, electron and boson systems. By analyzing this quantity, we reveal an intriguing connection between quantum entanglement and quantum phase…

Quantum Physics · Physics 2009-11-11 Y. Chen , Z. D. Wang , F. C. Zhang

We consider a section of a half-filled chain of free electrons and its entanglement with the rest of the system in the presence of one or two interface defects. We find a logarithmic behaviour of the entanglement entropy with constants…

Statistical Mechanics · Physics 2009-11-11 Ingo Peschel

Topological winding and unwinding in a quasi-one-dimensional metastable Bose-Einstein condensate are shown to be manipulated by changing the strength of interaction or the frequency of rotation. Exact diagonalization analysis reveals that…

Other Condensed Matter · Physics 2009-11-13 Rina Kanamoto , Lincoln D. Carr , Masahito Ueda

By the topological argument that the identity matrix is surrounded by a set of separable states follows the result that if a system is entangled at thermal equilibrium for some temperature, then it presents a phase transition (PT) where…

Quantum Physics · Physics 2013-08-27 Daniel Cavalcanti , Fernando G. S. L. Brandao , Marcelo O. Terra Cunha

The dynamics of an entangled atomic system in a partial interaction with entangled cavity fields, characterizing an entanglement swapping, have been studied through the use of Von Neuman entropy. We consider the interaction via two-photon…

Quantum Physics · Physics 2015-05-18 Wen-Chao Qiang , W. B. Cardoso , Xin-Hui Zhang

We investigate the connection between the entanglement entropy in scattering processes and the dynamics of electroweak phase transitions. Recent work has shown that the scattering entanglement entropy can provide new insight into Standard…

High Energy Physics - Phenomenology · Physics 2025-11-25 Jia Liu , Masanori Tanaka , Xiao-Ping Wang , Jing-Jun Zhang , Zifan Zheng

We show that the entropy of entanglement is sensitive to the coherent quantum phase transition between normal and super-radiant regions of a system of a finite number of three-level atoms interacting in a dipolar approximation with a…

Quantum Physics · Physics 2019-08-20 Luis Fernando Quezada , Eduardo Nahmad-Achar

Entanglement is a key quantum phenomena and understanding transitions between phases of matter with different entanglement properties are an interesting probe of quantum mechanics. We numerically study a model of a 2D tensor network…

Statistical Mechanics · Physics 2021-08-06 Ryan Levy , Bryan K. Clark

Recently topological states of matter have witnessed a new physical phenomenon where both edge modes and gapless bulk coexist at topological quantum criticality. The presence and absence of edge modes on a critical line can lead to an…

Strongly Correlated Electrons · Physics 2023-05-12 Ranjith R Kumar , Nilanjan Roy , Y R Kartik , S Rahul , Sujit Sarkar

We study a model of two dimensional, topological superconductivity on a square lattice. The model contains hopping, spin orbit coupling and a time reversal symmetry breaking Zeeman term. This term, together with the chemical potential act…

Strongly Correlated Electrons · Physics 2017-03-08 Jan Borchmann , T. Pereg-Barnea

We study the entropy of chiral 2+1-dimensional topological phases, where there are both gapped bulk excitations and gapless edge modes. We show how the entanglement entropy of both types of excitations can be encoded in a single partition…

Statistical Mechanics · Physics 2008-11-26 Paul Fendley , Matthew P. A. Fisher , Chetan Nayak

The microscopic model in which nodes interacting with each other are statistical systems is introduced. The nodes conditions are connected with a string of distinct microscopic configurations and depend on external parameters (pressure and…

Statistical Mechanics · Physics 2007-05-23 V. Stepanov

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 discuss how strongly interacting higher-order symmetry protected topological (HOSPT) phases can be characterized from the entanglement perspective: First, we introduce a topological many-body invariant which reveals the non-commutative…

Strongly Correlated Electrons · Physics 2020-08-12 Yizhi You , Julian Bibo , Frank Pollmann

We address several aspects of entanglement entropy of 2D interface CFT using the replica method. Unlike the case of boundary CFT, we consider the boundary OPE (BOPE) of the R\'enyi twist operator and find a boundary twist operator anchored…

High Energy Physics - Theory · Physics 2026-05-08 Mianqi Wang

Topological entropy or spatial entropy is a way to measure the complexity of shift spaces. This study investigates the relationships between the spatial entropy and the various periodic entropies which are computed by skew-coordinated…

Dynamical Systems · Mathematics 2022-07-26 Wen-Guei Hu , Guan-Yu Lai , Song-Sun Lin

We study quantum phase transitions between competing orders in one-dimensional spin systems. We focus on systems that can be mapped to a dual-field double sine-Gordon model as a bosonized effective field theory. This model contains two…

Strongly Correlated Electrons · Physics 2018-11-29 Shintaro Takayoshi , Shunsuke C. Furuya , Thierry Giamarchi

We consider a set of fully connected spins models that display first- or second-order transitions and for which we compute the ground-state entanglement in the thermodynamical limit. We analyze several entanglement measures (concurrence,…

Statistical Mechanics · Physics 2011-03-01 M. Filippone , S. Dusuel , J. Vidal

An interacting quantum system that is subject to disorder may cease to thermalize due to localization of its constituents, thereby marking the breakdown of thermodynamics. The key to our understanding of this phenomenon lies in the system's…