Abstract
Spin coherent states are the matter equivalent of optical coherent states, where a large number of two component particles form a macroscopic state displaying quantum coherence. Here we give a detailed study of entanglement generated between two spin- Bose-Einstein condensates (BECs) due to an interaction. The states that are generated show a remarkably rich structure showing fractal characteristics. In the limit of large particle number , the entanglement shows a strong dependence upon whether the entangling gate times are a rational or irrational multiple of , with a fractal dimension of . We discuss the robustness of various states under decoherence and show that despite the large number of particles in a typical BEC, entanglement on a macroscopic scale should be observable as long as the gate times are less than , where is the effective BEC-BEC coupling energy. Such states are anticipated to be useful for various quantum information applications such as quantum teleportation and quantum algorithms.
- Received 24 April 2013
DOI:https://doi.org/10.1103/PhysRevA.88.023609
©2013 American Physical Society