We present an analytical compact solution for the density matrix and all correlation functions of two collective-macroscopic spins evolving via an Ising-like Hamiltonian in the presence of particle losses. The losses introduce nonlocal phase noise which destroys highly entangled states arising in the evolution. On the other hand, the states appearing at relatively short time scales, possessing Einstein-Podolsky-Rosen (EPR)-like entanglement, will survive. Applying our solutions to the recently proposed scheme to entangle two Bose-Einstein condensates, we estimate the optimal number of atoms for EPR correlations.
ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics