Bi-partite and global entanglement in a many-particle system with collective spin coupling

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dc.creatorUnanyan, R. G.
dc.creatorIonescu, C.
dc.creatorFleischhauer, M.
dc.date2004-12-21
dc.date.accessioned2026-07-07T06:11:49Z
dc.date.available2026-07-07T06:11:49Z
dc.descriptionBipartite 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 which includes the special case of a super-symmetry, the ground state can be constructed analytically. In the case of an anti-ferromagnetic coupling and for an even number of particles this state undergoes a smooth crossover as a function of the continuous anisotropy parameter $γ$ from a separable ($γ=\infty $) to a maximally entangled many-particle state ($γ=0$). From the analytic expression for the ground state, bipartite and global entanglement are calculated. In the thermodynamic limit a discontinuous change of the scaling behavior of the bipartite entanglement is found at the isotropy point $γ=0$. For $% γ=0$ the entanglement grows logarithmically with the system size with no upper bound, for $γ\neq 0$ it saturates at a level only depending on $γ$. For finite systems with total spin $J=N/2$ the scaling behavior changes at $γ=γ_{\mathrm{crit}}=1/J$.
dc.description8 pages, 5 figures, submitted to Phys. Rev. A
dc.identifierhttps://arxiv.org/abs/quant-ph/0412164
dc.identifierhttp://arxiv.org/abs/quant-ph/0412164
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/92600
dc.subjectQuantum Physics
dc.titleBi-partite and global entanglement in a many-particle system with collective spin coupling
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