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arXiv · 2302.04571

q-Deformed Gross Pitaevskii Equation

Mahnaz Maleki·Hosein Mohammadzadeh
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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 $q$- 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.

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Mahnaz Maleki, Hosein Mohammadzadeh. 2023-02-09. q-Deformed Gross Pitaevskii Equation. https://arxiv.org/abs/2302.04571

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