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We investigate entanglement of strongly interacting fermions in spatially inhomogeneous environments. To quantify entanglement in the presence of spatial inhomogeneity, we propose a local-density approximation (LDA) to the entanglement…

Strongly Correlated Electrons · Physics 2008-03-24 V. V. França , K. Capelle

Entanglement and its propagation are central to understanding a multitude of physical properties of quantum systems. Notably, within closed quantum many-body systems, entanglement is believed to yield emergent thermodynamic behavior.…

Frustration in quantum many body systems is quantified by the degree of incompatibility between the local and global orders associated, respectively, to the ground states of the local interaction terms and the global ground state of the…

Statistical Mechanics · Physics 2015-10-08 S. M. Giampaolo , B. C. Hiesmayr , F. Illuminati

Our main result is a monogamy inequality satisfied by the entanglement of a focus qubit (one-tangle) in a four-qubit pure state and entanglement of subsystems. Analytical relations between three-tangles of three-qubit marginal states,…

Quantum Physics · Physics 2018-06-13 S. Shelly Sharma , N. K. Sharma

We use a Heisenberg spin-1/2 chain to investigate how chaos and localization may affect the entanglement of pairs of qubits. To measure how much entangled a pair is, we compute its concurrence, which is then analyzed in the…

Quantum Physics · Physics 2009-11-10 L. F. Santos , G. Rigolin , C. O. Escobar

We show how coherences between identical constituents of a many-body quantum state can be interrogated by suitable correlation functions, and identify sufficient conditions under which low-order correlators fully characterize many-body…

Quantum Physics · Physics 2022-11-22 Eric Brunner , Andreas Buchleitner , Gabriel Dufour

Entanglement of high-dimensional quantum systems has become increasingly important for quantum communication and experimental tests of nonlocality. However, many effects of high-dimensional entanglement can be simulated by using multiple…

Quantum Physics · Physics 2018-02-09 Tristan Kraft , Christina Ritz , Nicolas Brunner , Marcus Huber , Otfried Gühne

A subsystem of an entangled ground state is in a mixed state. Thus, if we isolate this subsystem from its surroundings we may be able to extract work applying unitary transformations, up to a maximal amount which is called ergotropy. Once…

The nonclassical behaviors of a two-level system coupled to a harmonic oscillator is investigated in the ultrastrong coupling regime. We revisit the variational solution of the ground state and find that the existing solution do not account…

Mesoscale and Nanoscale Physics · Physics 2010-09-01 Myung-Joong Hwang , Mahn-Soo Choi

Entanglement polygamy, like entanglement monogamy, is a fundamental property of multipartite quantum states. We investigate the polygamy relations related to the concurrence $C$ and the entanglement of formation $E$ for general $n$-qubit…

Quantum Physics · Physics 2019-08-20 Xuena Zhu , Zhixiang Jin , Shaoming Fei

The monogamy of entanglement is one of the basic quantum mechanical features, which says that when two partners Alice and Bob are more entangled then either of them has to be less entangled with the third party. Here we qualitatively…

Quantum Physics · Physics 2011-07-22 Masahito Hayashi , Lin Chen

Entanglement is believed to be crucial in macroscopic physical systems for understanding the collective quantum phenomena such as quantum phase transitions. We start from and solve exactly a novel Yang-Baxter spin-1/2 chain model with…

Quantum Physics · Physics 2008-11-17 Ming-Guang Hu , Kang Xue , Mo-Lin Ge

The evolution of $N$ spin-$1/2$ system with all-range Ising-type interaction is considered. For this system we study the entanglement of one spin with the rest spins. It is shown that the entanglement depends on the amount of spins and the…

Quantum Physics · Physics 2018-04-18 A. R. Kuzmak

Entanglement negativity is a measure of mixed-state entanglement increasingly used to investigate and characterize emerging quantum many-body phenomena, including quantum criticality and topological order. We present two results for the…

Quantum Physics · Physics 2015-06-18 Huan He , Guifre Vidal

Our goal is to clarify the relation between entanglement and correlation energy in a bipartite system with infinite dimensional Hilbert space. To this aim we consider the completely solvable Moshinsky's model of two linearly coupled…

Quantum Physics · Physics 2010-04-19 L. Martina , G. Ruggeri , G. Soliani

The monogamy of entanglement means that entanglement cannot be freely shared. In 2014, Oliveira et al. [ Oliveira et al., Phys. Rev. A. 89, 034303 (2014)] proposed a monogamy relation in the linear version and considered it in terms of…

Quantum Physics · Physics 2021-08-04 Xian Shi , Lin Chen , Mengyao Hu

By analytically continuing the eigenvalue problem of a system of two coupled harmonic oscillators in the complex coupling constant $g$, we have found a continuation structure through which the conventional ground state of the decoupled…

Mathematical Physics · Physics 2018-08-16 Alexander Felski , S. P. Klevansky

Bipartite and global entanglement are analyzed for the ground state of a system of $N$ spin 1/2 particles interacting via a collective spin-spin coupling described by the Lipkin-Meshkov-Glick (LMG) Hamiltonian. Under certain conditions…

Quantum Physics · Physics 2007-05-23 R. G. Unanyan , C. Ionescu , M. Fleischhauer

We study the monogamy and polygamy inequalities of unified entanglement in multipartite quantum systems. We first derive the monogamy inequality of unified-$(q, s)$ entanglement for multi-qubit states under arbitrary bipartition, and then…

Quantum Physics · Physics 2022-05-16 Mei-Ming Zhang , Naihuan Jing , Hui Zhao

Ground state instabilities of the spin-boson model is studied in this work. The existence of sequential ground state instabilities is shown analytically for arbitrary detuning in the two-spin system. In this model, extra discontinuities of…

Quantum Physics · Physics 2007-05-23 Ru-Fen Liu , Chia-Chu Chen
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