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We calculate the entanglement entropy of a non-contiguous subsystem of a chain of free fermions. The starting point is a formula suggested by Jin and Korepin, \texttt{arXiv:1104.1004}, for the reduced density of states of two disjoint…

数学物理 · 物理学 2021-04-16 L. Brightmore , G. P. Geher , A. R. Its , V. E. Korepin , F. Mezzadri , M. Y. Mo , J. A. Virtanen

In this four-part prospectus, we first give a brief introduction to the motivation for studying entanglement entropy and some recent development. Then follows a summary of our recent work about entanglement entropy in states with…

量子物理 · 物理学 2009-08-18 Wenxin Ding

The entanglement entropy (von Neumann entropy) has been used to characterize the complexity of many-body ground states in strongly correlated systems. In this paper, we try to establish a connection between the lower bound of the von…

介观与纳米尺度物理 · 物理学 2009-11-11 S. Ryu , Y. Hatsugai

What can we learn about entanglement between individual particles in macroscopic samples by observing only the collective properties of the ensembles? Using only a few experimentally feasible collective properties, we establish an…

量子物理 · 物理学 2007-05-23 Johannes Kofler , Caslav Brukner

This study investigates the entanglement properties of disordered free fermion systems undergoing an Anderson phase transition from a delocalized to a localized phase. The entanglement entropy is employed to quantify the degree of…

强关联电子 · 物理学 2023-09-26 Mohammad Pouranvari

At present, there are many methods of quantum entanglement of particles with an electromagnetic field. Most methods have a low probability of quantum entanglement and not an exact theoretical apparatus based on an approximate solution of…

量子物理 · 物理学 2017-09-15 Dmitry Makarov

We study the entanglement in various fully-gapped complex paired states of fermions in two dimensions, focusing on the entanglement spectrum (ES), and using the BCS form of the ground state wavefunction on a cylinder. Certain forms of the…

强关联电子 · 物理学 2014-07-25 J. Dubail , N. Read

We investigate the entanglement for a model of a particle moving in the lattice (many-body system). The interaction between the particle and the lattice is modelled using Hooke's law. The Feynman path integral approach is applied to compute…

We study the entanglement Hamiltonian for finite intervals in infinite quantum chains for two different free-particle systems: coupled harmonic oscillators and fermionic hopping models with dimerization. Working in the ground state, the…

统计力学 · 物理学 2020-10-20 Viktor Eisler , Giuseppe Di Giulio , Erik Tonni , Ingo Peschel

Entangled coherent states play pivotal roles in various fields such as quantum computation, quantum communication, and quantum sensing. We experimentally demonstrate the generation of entangled coherent states with the two-dimensional…

量子物理 · 物理学 2024-03-26 Honggi Jeon , Jiyong Kang , Jaeun Kim , Wonhyeong Choi , Kyunghye Kim , Taehyun Kim

Unlike for bipartite states consisting of distinguishable particles, in the case of identical parties the notion of entanglement is still under debate. In the following, we review two different approaches to the entanglement of systems…

量子物理 · 物理学 2014-03-14 F. Benatti , R. Floreanini , K. Titimbo

Motivated by recent discussions of entanglement in the context of high energy scattering, we consider the relation between the entanglement entropy of a highly excited state of a quantum system and the classical entanglement entropy of the…

量子物理 · 物理学 2023-01-18 Haowu Duan , Alex Kovner , Vladimir V. Skokov

We derive a general relation between the bosonic and fermionic entanglement in the ground states of supersymmetric quadratic Hamiltonians. For this, we construct canonical identifications between bosonic and fermionic subsystems. Our…

量子物理 · 物理学 2021-06-21 Robert H. Jonsson , Lucas Hackl , Krishanu Roychowdhury

Making use of the Rydberg blockade, we generate entanglement between two atoms individually trapped in two optical tweezers. In this paper we detail the analysis of the data and show that we can determine the amount of entanglement between…

量子物理 · 物理学 2014-02-20 A. Gaetan , C. Evellin , J. Wolters , P. Grangier , T. Wilk , A. Browaeys

In our two preceding papers we studied bipartite composite boson (or quasiboson) systems through their realization in terms of deformed oscillators. Therein, the entanglement characteristics such as the entanglement entropy and purity were…

量子物理 · 物理学 2015-04-03 A. M. Gavrilik , Yu. A. Mishchenko

We study the long-time evolution of the bipartite entanglement in translationally invariant gapped harmonic lattice systems with finite-range interactions. A lower bound for the von Neumann entropy is derived in terms of the purity of the…

量子物理 · 物理学 2011-07-12 R. G. Unanyan , M. Fleischhauer

We introduce the bosonic and fermionic ensembles of density matrices and study their entanglement. In the fermionic case, we show that random bipartite fermionic density matrices have non-positive partial transposition, hence they are…

数学物理 · 物理学 2022-11-28 Stephane Dartois , Ion Nechita , Adrian Tanasa

We investigate the effects of fuzzy measurements on spin entanglement for identical particles, both fermions and bosons. We first consider an ideal measurement apparatus and define operators that detect the symmetry of the spatial and spin…

量子物理 · 物理学 2007-05-23 D. Cavalcanti , M. F. Santos , M. O. Terra Cunha , C. Lunkes , V. Vedral

We study in this work the ground state entanglement properties of finite XX spin-1/2 chains with random couplings, using Jordan-Wigner transformation. We divide the system into two parts and study reduced density matrices (RDMs) of its…

强关联电子 · 物理学 2013-08-27 Mohammad Pouranvari , Kun Yang

Spin density matrices of the system, containing arbitrary even number N of indistinguishable fermions with spin S = 1/2, described by antisymmetric wave function, have been calculated. The indistinguishability and the Pauli principles are…

量子物理 · 物理学 2013-10-31 Marsel Arifullin , Vitaly Berdinskiy