Entanglement Dynamics Of Fluctuations In Two-mode Bose-Einstein Condensates

Bose and Einstein had predicted that all the particles of system composed of bosons would gather in the lowest energy state when the temperature was low enough. The phenomenon is called Bose-Einstein Condensation (BEC). Because the BEC has possessed of several unusual characters, such as nonlinear quantum tunneling and quantum coherence, many physicist show keen interest in the particular microcosmic material. With the further development of BEC theories and successful achievement in the experiment, the results have important scientific significance and potential application value for the superconducting technology.The article focuses on the entanglement dynamics of fluctuations in the two weakly coupled Bose-Einstein Condensates (BECs). By calculating the time evolution of entanglement between two fluctuations of condensates in a double-well potential, we show that the nonlinear tunneling transition can be reflected in the entanglement dynamics of fluctuations in BECs. The study not only complements the content about the nonlinear effect of BECs based on the mean-filed approximation, but also provides a basis for the experiment of quantum fluctuations of BECs.