Quantum noise of a Bose-Einstein condensate in an optical cavity, correlations and entanglement

G. Szirmai, D. Nagy, P. Domokos

Published 2010-01-12, updated 2010-03-12Version 2

A Bose-Einstein condensate of ultracold atoms inside the field of a laser-driven optical cavity exhibits dispersive optical bistability. We describe this system by using mean-field approximation and by analyzing the correlation functions of the linearized quantum fluctuations around the mean-field solution. The entanglement and the statistics of the atom-field quadratures are given in the stationary state. It is shown that the mean-field solution, i.e. the Bose-Einstein condensate is robust against entanglement generation for most part of the phase diagram.