Seminarium KMMF "Teoria Dwoistości"
join us / spotkanie
Christian Brennecke (Harvard University)
Bose-Einstein Condensation beyond the Gross-Pitaevskii Regime
In this talk, I will consider Bose gases in a box of volume one that interact through a two-body potential with scattering length of the order $N^{-1+\kappa}$, for $\kappa >0$. For small enough $\kappa \in (0;1/43)$, slightly beyond the Gross-Pitaevskii regime (\kappa=0), I will outline a proof of Bose-Einstein condensation for low-energy states that provides bounds on the expectation and on higher moments of the number of excitations. The talk is based on joint work with A. Adhikari and B. Schlein. To attend the seminar, use the Zoom identificator: https://us02web.zoom.us/j/8145917621?pwd=bVVKend0SHFKNUNyUUQ4cWNRK3laZz09