The homogeneous dipolar Bose gas at zero temperature: the low-density expansions and asymptotics of the correlation functions
Seminars
Seminar “Theory of Condensed Matter”
Date and Time: Monday, 28 December 2020, at 11:00 AM
Venue: Online conference on Zoom, Bogoliubov Laboratory of Theoretical Physics
Seminar topic: «The homogeneous dipolar Bose gas at zero temperature: the low-density expansions and asymptotics of the correlation functions»
Speaker: Alexander Cherny
Abstract:
The low-density expansions for the energy, chemical potential, and condensate depletion of the homogeneous dilute dipolar Bose gas are obtained by regularizing the dipole-dipole interaction at long distances. It is shown that the leading term, proportional to the density, allows a simple physical interpretation and consistently describes the thermodynamic stability of the system. The long-range asymptotics are obtained analytically for the normal and anomalous one-particle correlation functions and the pair distribution function. We discuss the properties of the two-body scattering with zero relative momentum for the dipole-dipole interaction, in particular, we derive the
asymptotics of the wave function and a correction to the scattering length for small values of the dipolar range.