MCS-MP Seminar: Marcin Napiórkowski

Speaker: Marcin Napiórkowski (Warsaw)

Title: The Bogoliubov-Bose-Hubbard model: existence of minimizers and phase transition

Abstract: We consider a variational approach to the Bose-Hubbard model based on Bogoliubov theory. We introduce the grand canonical and canonical free energy functional for which we prove the existence of minimizers. By analyzing their structure we show the existence of a superfluid-Mott insulator phase transition at positive temperatures. In particular, we show that this model does not exhibit a quantum phase transition. Based on joint work with Norbert Mokrzański.