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- W1647778979 abstract "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 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 $gamma $ from a separable ($gamma =infty $) to a maximally entangled many-particle state ($gamma =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 $gamma =0$. For $% gamma =0$ the entanglement grows logarithmically with the system size with no upper bound, for $gamma neq 0$ it saturates at a level only depending on $gamma $. For finite systems with total spin $J=N/2$ the scaling behavior changes at $gamma =gamma _{mathrm{crit}}=1/J$." @default.
- W1647778979 created "2016-06-24" @default.
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- W1647778979 date "2004-12-21" @default.
- W1647778979 modified "2023-09-27" @default.
- W1647778979 title "Bi-partite and global entanglement in a many-particle system with collective spin coupling" @default.
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