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Analyzing the properties of entanglement in many-particle spin-1/2 systems is generally difficult because the system's Hilbert space grows exponentially with the number of constituent particles, $N$. Fortunately, it is still possible to…

量子物理 · 物理学 2007-05-23 John K. Stockton , JM Geremia , Andrew C. Doherty , Hideo Mabuchi

Assemblies of interacting quantum particles often surprise us with properties that are difficult to predict. One of the simplest quantum many-body systems is the spin 1/2 Heisenberg antiferromagnetic chain, a linear array of interacting…

强关联电子 · 物理学 2013-07-02 M. Mourigal , M. Enderle , A. Klöpperpieper , J. -S. Caux , A. Stunault , H. M. Rønnow

We show that for fermion states, measurements of any two finite outcome particle quantum numbers (e.g.\ spin) are not constrained by a minimum total uncertainty. We begin by defining uncertainties in terms of the outputs of a measurement…

量子物理 · 物理学 2012-12-07 Cael L. Hasse

A system of a few attractively interacting fermionic $^6$Li atoms in one-dimensional harmonic confinement is investigated. Non-trivial inter-particle correlations induced by interactions in a particle-imbalanced system are studied in the…

量子气体 · 物理学 2020-04-01 Daniel Pęcak , Tomasz Sowiński

We propose an optimal entanglement concentration protocol (ECP) for nonlocal N-electron systems in a partially entangled pure state, resorting to charge detection and the projection measurement on an additional electron. For each nonlocal…

量子物理 · 物理学 2014-03-25 Bao-Cang Ren , Tie-Jun Wang , Ming Hua , Fu-Fu Du , Fu-Guo Deng

For itinerant fermionic and bosonic systems, we study `particle entanglement', defined as the entanglement between two subsets of particles making up the system. We formulate the general structure of particle entanglement in many-fermion…

其他凝聚态物理 · 物理学 2009-06-10 O. S. Zozulya , Masudul Haque , K. Schoutens

We review two general criteria for deciding whether a pure bipartite quantum state describing a system of two identical particles is entangled or not. The first one considers the possibility of attributing a complete set of objective…

量子物理 · 物理学 2009-11-11 GianCarlo Ghirardi , Luca Marinatto

We identify a general criterion for detecting entanglement of pure bipartite quantum states describing a system of two identical particles. Such a criterion is based both on the consideration of the Slater-Schmidt number of the fermionic…

量子物理 · 物理学 2016-09-08 GianCarlo Ghirardi , Luca Marinatto

In order to assess inelastic effects on two fermion entanglement production, we address an exactly solvable two-particle scattering problem where the target is an excitable scatterer. Useful entanglement, as measured by the two particle…

量子物理 · 物理学 2009-11-13 A. Lopez , V. M. Villalba , E. Medina

There are multipartite entangled states in many-body systems which may be potential resources in various quantum applications. There are lots of methods to witness specific entangled systems. However, no efficient method is available to…

量子物理 · 物理学 2022-04-20 Yan-Han Yang , Xue Yang , Ming-Xing Luo

We study entanglement of electron spins in many-body systems based on the Green's function approach. As an application we obtain the two-particle density matrix of a non-interacting electron gas and identify its two-spin density matrix as a…

量子物理 · 物理学 2009-11-10 Sangchul Oh , Jaewan Kim

We describe an efficient theoretical criterion, suitable for indistinguishable particles to quantify the quantum correlations of any pure two-fermion state, based on the Slater rank concept. It represents the natural generalization of the…

量子物理 · 物理学 2007-05-23 Fabrizio Buscemi , Paolo Bordone , Andrea Bertoni

We reconsider the effect of indistinguishability on the reduced density operator of the internal degrees of freedom (tracing out the spatial degrees of freedom) for a quantum system composed of identical particles located in different…

数学物理 · 物理学 2014-05-30 F. D. Cunden , S. Di Martino , P. Facchi , G. Florio

Using the temperature Green's function approach we investigate entanglement between two non-interacting spin 1 bosons in thermal equilibrium. We show that, contrary to the fermion case, the entanglement is absent in the spin density matrix.…

量子物理 · 物理学 2009-11-11 Jae-Weon Lee , Sangchul Oh , Jaewan Kim

The imbalanced superfluid state of spin-1/2 fermions with s-wave pairing is numerically studied by solving the Bogoliubov-de-Gennes equation at zero temperature in an annular disk geometry with narrow radial width. Two distinct types of…

超导电性 · 物理学 2015-05-13 Fei Ye , Yan Chen , Z. D. Wang , F. C. Zhang

Whether it occurs in superconductors, helium-3 or inside a neutron star, fermionic superfluidity requires pairing of fermions, particles with half-integer spin. For an equal mixture of two states of fermions ("spin up" and "spin down"),…

Based on Yosida's ground state of the single-impurity Kondo Hamiltonian, we study three kinds of entanglement between an impurity and conduction electron spins. First, it is shown that the impurity spin is maximally entangled with all the…

量子物理 · 物理学 2009-11-13 Sangchul Oh , Jaewan Kim

Many-particle entanglement is a fundamental concept of quantum physics that still presents conceptual challenges. While spin-squeezed and other nonclassical states of atomic ensembles were used to enhance measurement precision in quantum…

量子物理 · 物理学 2018-11-09 Matteo Fadel , Tilman Zibold , Boris Décamps , Philipp Treutlein

All matter is made up of fermions -- one of the fundamental type of particles in nature. Fermions follow the Pauli exclusion principle, stating that two or more identical fermions cannot occupy the same quantum state. Antisymmetry of the…

量子物理 · 物理学 2023-07-26 Lucas Hackl , Dayang Li , Nika Akopian , Matthias Christandl

We analyze the entanglement of SU(2)-invariant density matrices of two spins $\vec S_{1}$, $\vec S_{2}$ using the Peres-Horodecki criterion. Such density matrices arise from thermal equilibrium states of isotropic spin systems. The partial…

量子物理 · 物理学 2009-11-07 John Schliemann