Bogoliubov theory of entanglement in a Bose-Einstein condensate
Abstract
We consider a Bose-Einstein condensate that is illuminated by a short resonant light pulse that coherently couples two internal states of the atoms. We show that the subsequent time evolution prepares the atoms in an interesting entangled state called a spin-squeezed state. This evolution is analyzed in detail by developing a Bogoliubov theory that describes the entanglement of the atoms. Our calculation is a consistent expansion in 1/N, where N is the number of particles in the condensate, and our theory predicts that it is possible to produce spin-squeezing by at least a factor of 1/N. Within the Bogoliubov approximation this result is independent of temperature.
- Publication:
-
Physical Review A
- Pub Date:
- April 2002
- DOI:
- arXiv:
- arXiv:cond-mat/0110372
- Bibcode:
- 2002PhRvA..65d3610S
- Keywords:
-
- 03.75.Fi;
- 03.65.Ud;
- 42.50.Dv;
- Entanglement and quantum nonlocality;
- Nonclassical states of the electromagnetic field including entangled photon states;
- quantum state engineering and measurements;
- Condensed Matter;
- Quantum Physics
- E-Print:
- 14 pages, including 5 figures, minor changes in the presentation