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The notion of {\em entanglement entropy} in quantum mechanical systems is an important quantity, which measures how much a physical state is entangled in a composite system. Mathematically, it measures how much the state vector is not…

Number Theory · Mathematics 2023-12-29 Hee-Joong Chung , Dohyeong Kim , Minhyong Kim , Jeehoon Park , Hwajong Yoo

We study quantum correlations in an isotropic Ising ring under the effects of a transverse magnetic field. After characterizing the behavior of two-spin quantum correlations, we extend our analysis to global properties of the ring, using a…

Quantum Physics · Physics 2012-01-17 Steve Campbell , Laura Mazzola , Mauro Paternostro

Quantum entanglement is analyzed thoroughly in the case of the ground and lowest states of two-electron axially symmetric quantum dots under a perpendicular magnetic field. The individual-particle and the center-of-mass representations are…

Quantum Physics · Physics 2015-12-01 N. S. Simonovic , R. G. Nazmitdinov

Given a finite group G with a bilocal representation, we investigate the bipartite entanglement in the state constructed from the group algebra of G acting on a separable reference state. We find an upper bound for the von Neumann entropy…

Quantum Physics · Physics 2007-05-23 Alioscia Hamma , Radu Ionicioiu , Paolo Zanardi

We present a quantum algorithm to compute the entanglement spectrum of arbitrary quantum states. The interesting universal part of the entanglement spectrum is typically contained in the largest eigenvalues of the density matrix which can…

Strongly Correlated Electrons · Physics 2017-11-29 Sonika Johri , Damian S. Steiger , Matthias Troyer

We study the explicit breaking of a $SU(2)$ symmetry to a $U(1)$ subgroup employing the entanglement asymmetry, a recently introduced observable that measures how much symmetries are broken in a part of extended quantum systems. We consider…

Statistical Mechanics · Physics 2025-04-10 Marco Lastres , Sara Murciano , Filiberto Ares , Pasquale Calabrese

We study the average and the standard deviation of the entanglement entropy of highly excited eigenstates of the integrable interacting spin-$\frac{1}{2}$ XYZ chain away from and at special lines with $U(1)$ symmetry and supersymmetry. We…

Statistical Mechanics · Physics 2024-02-28 Rafał Świętek , Maksymilian Kliczkowski , Lev Vidmar , Marcos Rigol

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

The entanglement entropy of a subsystem of a quantum system is expressed, in the replica approach, through analytic continuation with respect to n of the trace of the n-th power of the reduced density matrix. This trace can be thought of as…

High Energy Physics - Theory · Physics 2008-12-18 Michele Caraglio , Ferdinando Gliozzi

We explore the relationship between higher-form symmetries and entanglement properties in discrete lattice gauge theories, which can exhibit both topologically ordered phases and higher-form symmetry-protected topological (SPT) phases. Our…

Strongly Correlated Electrons · Physics 2025-01-06 Wen-Tao Xu , Tibor Rakovszky , Michael Knap , Frank Pollmann

We introduce a novel geometric approach to characterize entanglement relations in large quantum systems. Our approach is inspired by Schumacher's singlet state triangle inequality, which used an entropic-based distance to capture the…

Quantum Physics · Physics 2021-10-01 Shahabeddin M. Aslmarand , Warner A. Miller , Doyeol , Ahn , Paul M. Alsing

In this paper, the impact of temperature fluctuations in the entanglement of two qubits described by a spin-1/2 XX model is studied. To describe the out-of-equilibrium situation, super-statistics is used with fluctuations given by a…

Quantum Physics · Physics 2021-09-03 Jorge David Castaño-Yepes , Cristian Felipe Ramirez-Gutierrez

In this article, we investigate the quantum circuit complexity and entanglement entropy in the recently studied black hole gas framework using the two-mode squeezed states formalism written in arbitrary dimensional spatially flat…

High Energy Physics - Theory · Physics 2021-09-03 Kiran Adhikari , Sayantan Choudhury , Satyaki Chowdhury , K. Shirish , Abinash Swain

A class of (2+1)-dimensional quantum many body system characterized by an anisotropic scaling symmetry (Lifshitz symmetry) near their quantum critical point can be described by a (3+1)-dimensional dual gravity theory with negative…

High Energy Physics - Theory · Physics 2015-05-14 Somdeb Chakraborty , Parijat Dey , Sourav Karar , Shibaji Roy

We derive bounds for the entanglement of a spin with an (adjacent and non-adjacent) interval of spins in an arbitrary pure finitely correlated state (FCS) on a chain of spins of any magnitude. Finitely correlated states are otherwise known…

Mathematical Physics · Physics 2007-05-23 Spyridon Michalakis , Bruno Nachtergaele

Entanglement entropy provides a powerful characterization of two-dimensional gapped topological phases of quantum matter, intimately tied to their description by topological quantum field theories (TQFTs). Fracton topological orders are…

Strongly Correlated Electrons · Physics 2018-03-08 Han Ma , A. T. Schmitz , S. A. Parameswaran , Michael Hermele , Rahul M. Nandkishore

Quantum spin liquid has massive many spin entanglement in the ground state, we can evaluate it by the entanglement entropy, but the latter can not be observed directly by experiment. In this manuscript, we try to characterize its…

Quantum Physics · Physics 2024-05-28 Zheng-Chuan Wang

We investigate the entanglement properties of finite spin rings, with noncollinear Ising interaction between nearest neighbours. The orientations of the Ising axes are determined either by the spin position within the ring (model A) or by…

Quantum Physics · Physics 2015-05-20 F. Troiani

We analyze the entanglement entropy in the Lipkin-Meshkov-Glick model, which describes mutually interacting spins half embedded in a magnetic field. This entropy displays a singularity at the critical point that we study as a function of…

Statistical Mechanics · Physics 2007-05-23 J. I. Latorre , R. Orus , E. Rico , J. Vidal

Due to the phase interference of electromagnetic wave, one can recover the total image of one object from a small piece of holograph, which records the interference pattern of two laser light reflected from it. Similarly, the quantum…

Quantum Physics · Physics 2014-11-18 Shi-Jian Gu , Guang-Shan Tian , Hai-Qing Lin
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