Entanglement Dynamics in Lipkin Model

Julien Vidal, Guillaume Palacios, Cl. Aslangul

Julien Vidal, Guillaume Palacios, Claude Aslangul

Julien Vidal, Guillaume Palacios, Claude Aslangul

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.

Christian F. Roos

Yamen Hamdouni

The dynamics of a central qubit system coupled to an isotropic ferromagnetic Lipkin–Meshkov–Glick spin bath at nonzero temperature is studied. We derive exactly the reduced density matrix and investigate the pairwise thermal entanglement, the coherence and the concurrence of the central spins. Through the behavior of these quantities, we show that at very low temperatures the dynamics is sensitive to the presence of the critical point of the environment.

Cuixia Wang, Ding Xiong, Guoqiang Huang +1 more