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The Entanglement of the XY Spin Chain in a Random Magnetic Field(General)

Masashi Fujinaga, Naomichi Hatano

Journal of the Physical Society of JapanSep 15, 20070 citations

Anisotropy and Magnetic Field Effects on Entanglement of a Two-Spin （1/2,1） Mixed-Spin Heisenberg XY Chain

Wang,  Fu, Liping +2 more

理论物理通讯：英文版Jan 1, 20082 citations

Entanglement in spin-1 Heisenberg XY chain

Meng Qin, YingJuan Tao, Ming‐Liang Hu +1 more

Science in China. Series G, Physics, mechanics & astronomy/Science in China. Series G, Physics, Mechanics & AstronomyJun 21, 200816 citations

Transport of entanglement through a Heisenberg–XY spin chain

V. Subrahmanyam, Arul Lakshminarayan

arXiv:quant-ph/0409048Physics Letters ASep 30, 200527 citations

A uniform area law for the entanglement of eigenstates in the disordered XY chain

Houssam Abdul-Rahman, Günter Stolz

We consider the isotropic or anisotropic XY spin chain in the presence of a transversal random magnetic field, with parameters given by random variables. It is shown that eigenfunction correlator localization of the corresponding effective one-particle Hamiltonian implies a uniform area law bound in expectation for the bipartite entanglement entropy of all eigenstates of the XY chain, i.e., a form of many-body localization at all energies. Here, entanglement with respect to arbitrary connected subchains of the chain can be considered. Applications where the required eigenfunction correlator bounds are known include the isotropic XY chain in random field as well as the anisotropic chain in strong or strongly disordered random field.We consider the isotropic or anisotropic XY spin chain in the presence of a transversal random magnetic field, with parameters given by random variables. It is shown that eigenfunction correlator localization of the corresponding effective one-particle Hamiltonian implies a uniform area law bound in expectation for the bipartite entanglement entropy of all eigenstates of the XY chain, i.e., a form of many-body localization at all energies. Here, entanglement with respect to arbitrary connected subchains of the chain can be considered. Applications where the required eigenfunction correlator bounds are known include the isotropic XY chain in random field as well as the anisotropic chain in strong or strongly disordered random field.

arXiv:1505.02117Journal of Mathematical PhysicsDec 1, 201527 citations

Entanglement and spin squeezing in the three-and four-qubit Heisenberg XY spin chain

Ming Hu

We investigate the pairwise entanglement and spin squeezing in the ground state of the three-and four-qubit Heisenberg XY spin chain and give analytical expressions of the concurrence C and the spin squeezing parameter ξ2.Our results show that the entanglement is equivalent to spin squeezing(i.e.the entanglement implies spin squeezing and vice versa)if the external magnetic field B is above a certain critical value Bc,where for the three-qubit case,Bc=J[(4-3γ2)1/2-1],and for the four-qubit case,Bc can be obtained numerically.We investigate the pairwise entanglement and spin squeezing in the ground state of the three-and four-qubit Heisenberg XY spin chain and give analytical expressions of the concurrence C and the spin squeezing parameter ξ2.Our results show that the entanglement is equivalent to spin squeezing(i.e.the entanglement implies spin squeezing and vice versa)if the external magnetic field B is above a certain critical value Bc,where for the three-qubit case,Bc=J[(4-3γ2)1/2-1],and for the four-qubit case,Bc can be obtained numerically.

Journal of Atomic and Molecular PhysicsJan 1, 20080 citations

Magnetic entanglement in spin-1/2 XY chains

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