Evolution of a Bose-Einstein condensate of neutral atoms --- A field theoretical approach

TL;DR

This paper presents a quantum field theoretical analysis of the particle distribution and its evolution in a Bose-Einstein condensate of neutral atoms, especially after the trapping potential is suddenly removed.

Contribution

It introduces an analytical method based on quantum field theory and the Bogoliubov approximation to study the dynamics of Bose-Einstein condensates.

Findings

Analytical expressions for particle distribution in space and time.

Insights into the condensate's behavior after trap removal.

Application of quantum field theory to condensate dynamics.

Abstract

The particle distribution in a Bose condensate under the trapping potential and its time evolution after switching off the trapping potential suddenly are calculated. We investigate the problem from the viewpoint of quantum field theory,using a model of self-interacting neutral boson field. Within the approximation of retainng the most dominant term in the Hamiltonian after applying the Bogoliubov replacement, we can calculate analytically the particle distribution as a function of space and time coordinates.