Quantum Entanglement in Spinor Bose-Einstein Condensates and the Preparation of Dicke State

S. Raghavan, H. Pu, P. Meystre +1 more

Li-Xin Xia, Yiming Xie

Hua-Gui Zhu, Jian Shu, Guoqiang Huang +1 more

Xu‐Bo Zou, Wolfgang M. Mathis

Zhen Zhang, Luming Duan

We propose a method to generate massive entanglement in a spinor Bose-Einstein condensate from an initial product state through an adiabatic sweep of the magnetic field across a quantum phase transition induced by competition between the spin-dependent collision interaction and the quadratic Zeeman effect. The generated many-body entanglement is characterized by the experimentally measurable entanglement depth in the proximity of the Dicke state. We show that the scheme is robust to practical noise and experimental imperfection and under realistic conditions it is possible to generate genuine entanglement for hundreds of atoms.

L.-M. Duan, J. I. Cirac, P. Zoller

We propose a scheme to generate and detect various kinds of quantum entanglement in a spin-1 Bose-Einstein condensate. It is shown that substantial many-particle entanglement can be generated directly in the spin-1 condensate by free dynamical evolution with a properly prepared initial state. The scheme also provides a simple method to generate three-mode entanglement in the second-quantization picture and to detect the continuous variable type of entanglement between two effective modes in the spin-1 condensate.