Pilati, Orso, Bertaina. Phys. Rev. A, 103:063314, (2021)
Ref. [23] performs simulations of spin-imbalanced systems. They define \(P = (N_{\uparrow} - N_{\downarrow}) / N\) and control \(P\) by varying the chemical potentials of the different spins independently.
- tdg.references.PRA103063314.figure_2_P_0_and_N_98()[source]
Figure 2 shows the energy per particle normalized by the ideal fermi gas \(e/e_{FG}\) as a function of population imbalance for a variety of choices for \(k_F a_{2D}\) and system sizes.
This function returns a tensor with \(k_Fa_{2D}\) in the first row, \(e=E/N\) in the second row, and its uncertainty in the third for the population-balanced \(P=0\) with \(N=98\).
The energies per particle already include a finite-size effect using an effective mass from second-order perturbation theory. The uncertainties include the statistical fluctuations and 50% of the difference between first- and second-order perturbative evaluations of the effective mass as an estimate of the remaining finite-size effects, summed in quadrature.
The data were provided by Gianluca Bertaina.
- tdg.references.PRA103063314.conventional_figure_2_P_0_and_N_98()[source]
Converts \(k_Fa_{2D}\) in the first row of
figure_2_P_0_and_N_98()to \(\alpha\).