Step-potential equilibrium in a ring condensate
= Step-potential equilibrium in a ring condensate
{title2=$N_L/N_R=(2\mu_0-V_0)/(2\mu_0+V_0)$}
For equal ring halves with potentials $V_0$ and zero, the zero-current Thomas–Fermi bulk solution has $\mu=\mu_0+V_0/2$ and populations $N_{L,R}=N(1\mp V_0/2\mu_0)/2$ while both halves are occupied. For $V_0>2\mu_0$ the raised half is depleted and $\mu=2\mu_0$ in this approximation.