On a thermal cloud-Bose-Einstein condensate coupling system

Starting with an N body system describing a Bose gas at finite temperatures, we derive a new model that contains a Gross-Pitaevskii equation of motion for the condensate wave function and a quantum Boltzmann equation for the excitations. The model is valid for a wide range of finite temperatures and approaches the standard ZNG model when the temperature of the system T is close to the Bose-Einstein condensate (BEC) transition temperature T-c.

Automated summary

A new model describing the behavior of a Bose gas at finite temperatures is derived, incorporating a Gross-Pitaevskii equation for the condensate wave function and a quantum Boltzmann equation for excitations. The model is applicable over a wide range of temperatures and converges to the standard ZNG model when approaching the Bose-Einstein condensate transition temperature.