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Entanglement dynamics in the Lipkin-Meshkov-Glick model

J. Vidal·G. Palacios·Cl. Aslangul
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Abstract

The dynamics of the one-tangle and the concurrence is analyzed in the Lipkin-Meshkov-Glick model which describes many physical systems such as the two-mode Bose-Einstein condensates. We consider two different initial states which are physically relevant and show that their entanglement dynamics are very different. A semiclassical analysis is used to compute the one-tangle which measures the entanglement of one spin with all the others, whereas the frozen-spin approximation allows us to compute the concurrence using its mapping onto the spin squeezing parameter.

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J. Vidal, G. Palacios, Cl. Aslangul. 2004-12-03. Entanglement dynamics in the Lipkin-Meshkov-Glick model. https://doi.org/10.1103/physreva.70.062304

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