Uniform ring condensate
= Uniform ring condensate
{title2=$v=n\hbar/(mR)$}
A one-dimensional condensate on a ring of circumference $2\pi R$ has a uniform winding state $\psi=\sqrt{N/(2\pi R)}e^{in\theta}$ when the order parameter is normalized to atom number. Its <angular momentum> per atom is $n\hbar$, while the flow contribution to its total <chemical potential> is $\hbar^2n^2/(2mR^2)$.