q-Deformed Gross Pitaevskii Equation
Statistical Mechanics
2023-02-15 v2
Abstract
We derive the Gross Pitaevskii equation (GPE) for condensate of bosons obeying deformed statistics under external potential and inter-particle interaction. First, we obtain the well-known Schrodinger equation. Using a suitable Hamiltonian for condensate phase and minimizing the free energy of the system, we find out the - deformed GPE. Thus, at very low temperature, where the dynamics of excited-occupation level can be neglected, the dynamics of a deformed statistics system can be described by the GPE, similar to the Bose-Einstein condensate.
Cite
@article{arxiv.2302.04571,
title = {q-Deformed Gross Pitaevskii Equation},
author = {Mahnaz Maleki and Hosein Mohammadzadeh},
journal= {arXiv preprint arXiv:2302.04571},
year = {2023}
}