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math-ph2024
The Bogoliubov-Bose-Hubbard model: existence of minimizers and absence of quantum phase transition
Norbert Mokrzański, Marcin Napiórkowski
We consider a variational approach to the Bose-Hubbard model based on Bogoliubov theory. We introduce the grand canonical and canonical free energy functionals for which we prove t…
math-ph2023★ 1 cited
Beliaev damping in Bose gas
Jan Dereziński, Ben Li, Marcin Napiórkowski
According to the Bogoliubov theory the low energy behaviour of the Bose gas at zero temperature can be described by non-interacting bosonic quasiparticles called phonons. In this w…