Dynamics of Fluctuating Bose–Einstein Condensates

Thomas Chen, Michael Hott

Wu‐Ming Liu

P. L. Shu, L. C. Wang, X. X. Yi

The entanglement dynamics of fluctuations in two weakly coupled Bose–Einstein condensates (BECs) is studied in this paper. 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. This complements the study on the entanglement dynamics of BECs based on the mean-field approximation.

Benjamin Schlein

Takafumi Kita

The grand thermodynamic potential for Bose–Einstein condensates is formulated in a form of the Luttinger–Ward functional so as to satisfy the Hugenholtz–Pines theorem on single-particle excitations and also incorporate collective fluctuations in a generalized fluctuation exchange approximation. It will form a basis for studying thermodynamic, linear-response, and dynamical properties of correlated Bose–Einstein condensates continuously from above Tc down to T = 0.

Chuanwei Zhang