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We determine the conditions for the existence of a pair of degenerate parity breaking separable eigenstates in general arrays of arbitrary spins connected through $XYZ$ couplings of arbitrary range and placed in a transverse field, not…

Quantum Physics · Physics 2015-05-14 R. Rossignoli , N. Canosa , J. M. Matera

We examine the pair entanglement in the ground state of finite dimerized spin-$s$ chains interacting through anisotropic $XY$ couplings immersed in a transverse magnetic field, by means of a self-consistent pair mean field approximation.…

Quantum Physics · Physics 2016-12-14 A. Boette , R. Rossignoli , N. Canosa , J. M. Matera

We examine the entanglement of cyclic spin 1/2 chains with anisotropic XY Z Heisenberg couplings of arbitrary range at transverse factorizing magnetic fields. At these fields the system exhibits a degenerate symmetry-breaking separable…

Quantum Physics · Physics 2011-01-21 R. Rossignoli , N. Canosa , J. M. Matera

We determine the conditions for the existence of non-transverse factorizing magnetic fields in general spin arrays with anisotropic XYZ couplings of arbitrary range. It is first shown that a uniform maximally aligned completely separable…

Quantum Physics · Physics 2016-01-20 M. Cerezo , R. Rossignoli , N. Canosa

We discuss a generalized self-consistent mean field (MF) treatment, based on the selection of an arbitrary subset of operators for representing the system density matrix, and its application to the problem of entanglement evaluation in…

Quantum Physics · Physics 2015-06-23 A. Boette , R. Rossignoli , N. Canosa , J. M. Matera

We investigate entanglement and coherence in an $XXZ$ spin-$s$ pair immersed in a non-uniform transverse magnetic field. The ground state and thermal entanglement phase diagrams are analyzed in detail in both the ferromagnetic and…

Quantum Physics · Physics 2017-04-26 E. Rios , R. Rossignoli , N. Canosa

We study the pairwise entanglement close to separable ground states of a class of one dimensional quantum spin models. At T=0 we find that such ground states separate regions, in the space of the Hamiltonian parameters, which are…

Statistical Mechanics · Physics 2009-11-11 L. Amico , F. Baroni , A. Fubini , D. Patane' , V. Tognetti , P. Verrucchi

The entanglement in quantum XY spin chains of arbitrary length is investigated via the geometric (measure of) entanglement. The emergence of entanglement is explained intuitively from the perspective of perturbations. The model is solved…

Quantum Physics · Physics 2011-04-06 Tzu-Chieh Wei , Smitha Vishveshwara , Paul M. Goldbart

We study analytically the one-dimensional Ising model with a random binary distribution of ferromagnetic and antiferromagnetic exchange couplings at zero temperature. We introduce correlations in the disorder by assigning a dimer of one…

Disordered Systems and Neural Networks · Physics 2018-03-28 S. Bahareh Seyedein Ardebili , Reza Sepehrinia

We consider an infinite spin chain as a bipartite system consisting of the left and right half-chain and analyze entanglement properties of pure states with respect to this splitting. In this context we show that the amount of entanglement…

Mathematical Physics · Physics 2009-11-11 M. Keyl , T. Matsui , D. Schlingemann , R. F. Werner

We discuss ground state factorization schemes in spin $S$ arrays with general $XYZ$ couplings under general magnetic fields, not necessarily uniform or transverse. It is first shown that given arbitrary spin alignment directions at each…

Quantum Physics · Physics 2016-11-02 M. Cerezo , R. Rossignoli , N. Canosa

We investigate the entanglement properties of a finite size 1+1 dimensional Ising spin chain, and show how these properties scale and can be utilized to reconstruct the ground state wave function. Even at the critical point, few terms in a…

Quantum Physics · Physics 2007-05-23 Stein Olav Skrøvseth

We analyze the phase diagram of the exact ground state (GS) of spin-$s$ chains with ferromagnetic $XXZ$ couplings under $n$-alternating field configurations, i.e, sparse alternating fields having nodes at $n-1$ contiguous sites. It is shown…

Strongly Correlated Electrons · Physics 2019-01-16 M. Cerezo , R. Rossignoli , N. Canosa , C. A. Lamas

We prove the existence of gapped quantum Hamiltonians whose ground states exhibit an infinite entanglement length, as opposed to their finite correlation length. Using the concept of entanglement swapping, the localizable entanglement is…

Quantum Physics · Physics 2007-05-23 F. Verstraete , M. A. Martin-Delgado , J. I. Cirac

We investigate entanglement of spin pairs in alternating open spin chains in the equilibrium state in an external magnetic field. We calculate the reduced density matrix of spin pairs and estimate the concurrence with Wootter's criteria.…

Quantum Physics · Physics 2009-11-13 S. I. Doronin , E. B. Fel'dman , A. N. Pyrkov

We examine the maximum entanglement reached by an initially fully aligned state evolving in an XY Heisenberg spin chain placed in a uniform transverse magnetic field. Both the global entanglement between one qubit and the rest of the chain…

Quantum Physics · Physics 2009-11-13 R. Rossignoli , C. T. Schmiegelow

We evaluate the exact concurrence between any two spins in a cyclic XX chain of n spins placed in a uniform transverse magnetic field, both at zero and finite temperature, by means of the Jordan-Wigner transformation plus a number parity…

Quantum Physics · Physics 2015-05-13 N. Canosa , R. Rossignoli

We show the boundedness of entanglement entropy for (bipartite) pure states of quantum spin chains implies split property of subsystems. As a corollary the infinite volume ground states for 1-dim spin chains with the spectral gap between…

Mathematical Physics · Physics 2011-09-28 Taku Matsui

The entanglement-sharing properties of an infinite spin-chain are studied when the state of the chain is a pure, translation-invariant state with a matrix-product structure. We study the entanglement properties of such states by means of…

Quantum Physics · Physics 2009-11-10 F. Benatti , B. C. Hiesmayr , H. Narnhofer

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…

Strongly Correlated Electrons · Physics 2013-08-27 Mohammad Pouranvari , Kun Yang
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