The properties of the entanglement in the intensity-dependent coupling interaction between squeezing vacuum state field and atom with an additional Kerr medium are investigated by using the von Neumann entropy. The influences of nonlinear interaction intensity of Kerr medium and the squeezing degree of initial squeezing vacuum state field on the entanglement of the quantum system are discussed. The results show that the nonlinear interaction of Kerr medium can result in the generation of the maximally entangled state, disentangled-free state or disentangled state, and the degree of entanglement is stationary.
In the variational cumulant expansion approach, we calculate the internal energy for the d-dhnensional O(N) nonlinear a models on lattice. Specially, we give the results for two-dimensional 0(3), 0(4) and 0(5) models. A comparison with Monte-Carlo (MC) data is also presented. Our formalism can given the results for O(N) nonlinear er models (for any N and any dimensionality d) straightforwardly.
The study of nuclear limits has been performed and new physical mechanisms and exotic shapes allowing the extension of nuclear landscape beyond the commonly accepted boundaries have been established. The transition from ellipsoidal-to-toroidal shapes plays a critical role in potential extension of nuclear landscape to hyperheavy nuclei. Rotational excitations leading to the birth of particle (proton or neutron) bound rotational bands provide a mechanism for an extension of nuclear landscape beyond spin-zero proton and neutron drip lines.
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