Beyond mean-field effects in dipolar Bose-Einstein condensates

This talk will focus on the cold atomic gas with inherent long-range interactions, ie, dipolar Bose-Einstein condensates (BECs), for which the possibility of obtaining quantum states with self-organized long-range ordering can be facilitated by quantum fluctuations which suppress collapse and pave the way for supersolid states. By theoretically investigating the beyond mean-field effects of quantum fluctuations, ie, Lee-Huang-Yang correction, we find that it cannot only stabilize the dipolar BECs but also give rise to the emergence of various supersolid states with peculiar symmetry breaking and also alter the order of the phase transition from first- to second order. Furthermore, we also consider the effects of thermal fluctuations at finite temperatures and find that finite temperature can assist in accessing parts of the phase diagram that otherwise appear hard to realize due to excessively large densities and number of atoms being required. In comparison with the zero-temperature case, finite temperatures can lead to a significant decrease in the necessary particle number and density that might ultimately pave a route for future experimental realizations.