Table 1 Homogeneous phases of a spin-1 antiferromagnetic BEC

From: Spontaneous formation and relaxation of spin domains in antiferromagnetic spin-1 condensates

Phase

I (mF = 0)

II (mF = ±1)

III (mF = +1)

Spin density

m|| = 0

m|| < ρ

m|| = ρ

Energy density

\(\frac{{\overline g }}{2}\rho ^2 - q\rho _{}^{}\)

\(\frac{{\overline g }}{2}\rho ^2 + \frac{{g_{\mathrm{s}}}}{2}m_{||}^2\)

\(\frac{{\overline g + g_{\mathrm{s}}}}{2}\rho ^2\)

Equation of state

\(\mu + q = \overline g \rho\)

\(\mu = \overline g \rho\), η=gsm||

\(\mu + \eta = ({\bar g} + g_{\mathrm{s}})\rho\)

  1. The table summarizes the thermodynamic properties of the three stable homogeneous phases for uniform system in the thermodynamic limit