Finite Temperature Description of an Interacting Bose Gas

Understand

We derive the equation of state of a Bose gas with contact interactions using relativistic quantum field theory.

• The calculation accounts for both thermal and quantum corrections up to 1-loop order.
• We work in the Hartree-Fock-Bogoliubov approximation and follow Yukalov's prescription of introducing two chemical potentials, one for the condensed phase and another one for the excited phase, to circumvent the well-known Hohenberg-Martin dilemma.
• As a check on the formalism, we take the non-relativistic limit and reproduce known non-relativistic results.