Fig. 1. Gain images of the MI for $g=\mathrm{1}$, $g_{\mathrm{12}}=\mathrm{0.2}$, $\Omega =\mathrm{0.2}$, and $\gamma =\mathrm{1}$. (a) $f_{\mathrm{1}}=\mathrm{3.7321}$; (b) $f_{\mathrm{2}}=\mathrm{0.2679}$

Fig. 2. Time evolution of zero-quasimomentum states for $g=\mathrm{1}$, $g_{\mathrm{12}}=\mathrm{0.2}$, $\Omega =\mathrm{0.2}$, $\gamma =\mathrm{1}$, and $f_{\mathrm{1}}=\mathrm{3.7321}$. Density evolution of two components in coordinate space with (a) $n_{\mathrm{1}}=|{\psi }_{\mathrm{1}}(x){|}^{\mathrm{2}}$ and (b) $n_{\mathrm{2}}=|{\psi }_{\mathrm{2}}(x){|}^{\mathrm{2}}$; density evolution of two components in quasimomentum space with (c) $n_{\mathrm{1}}=|{\psi }_{\mathrm{1}}(k){|}^{\mathrm{2}}$ and (d) $n_{\mathrm{2}}=|{\psi }_{\mathrm{2}}(k){|}^{\mathrm{2}}$

Fig. 3. Time evolution of zero-quasimomentum states for $g=\mathrm{1}$, $g_{\mathrm{12}}=\mathrm{0.2}$, $\Omega =\mathrm{0.2}$, $\gamma =\mathrm{1}$, and $f_{\mathrm{2}}=\mathrm{0.2679}$. Density evolution of two components in coordinate space with (a) $n_{\mathrm{1}}=|{\psi }_{\mathrm{1}}(x){|}^{\mathrm{2}}$ and (b) $n_{\mathrm{2}}=|{\psi }_{\mathrm{2}}(x){|}^{\mathrm{2}}$;density evolution of two components in quasimomentum space with (c) $n_{\mathrm{1}}=|{\psi }_{\mathrm{1}}(k){|}^{\mathrm{2}}$ and (d) $n_{\mathrm{2}}=|{\psi }_{\mathrm{2}}(k){|}^{\mathrm{2}}$

Fig. 4. Gain images of the MI for $g=\mathrm{1}$, $g_{\mathrm{12}}=\mathrm{1.8}$, $\Omega =\mathrm{0.2}$, and $\gamma =\mathrm{1}$. (a) $f_{\mathrm{1}}=-\mathrm{0.2679}$; (b) $f_{\mathrm{2}}=-\mathrm{3.7321}$

Fig. 5. Time evolution of zero-quasimomentum states for $g=\mathrm{1}$, $g_{\mathrm{12}}=\mathrm{1.8}$, $\Omega =\mathrm{0.2}$, $\gamma =\mathrm{1}$, and $f_{\mathrm{1}}=-\mathrm{0.2679}$. Density evolution of two components in coordinate space with (a) $n_{\mathrm{1}}=|{\psi }_{\mathrm{1}}(x){|}^{\mathrm{2}}$ and (b) $n_{\mathrm{2}}=|{\psi }_{\mathrm{2}}(x){|}^{\mathrm{2}}$; density evolution of two components in quasimomentum space with (c) $n_{\mathrm{1}}=|{\psi }_{\mathrm{1}}(k){|}^{\mathrm{2}}$ and (d) $n_{\mathrm{2}}=|{\psi }_{\mathrm{2}}(k){|}^{\mathrm{2}}$

Fig. 6. Time evolution of zero-quasimomentum states for $g=\mathrm{1}$, $g_{\mathrm{12}}=\mathrm{1.8}$, $\Omega =\mathrm{0.2}$, $\gamma =\mathrm{1}$, and $f_{\mathrm{2}}=-\mathrm{3.7321}$. Density evolution of two components in coordinate space with (a) $n_{\mathrm{1}}=|{\psi }_{\mathrm{1}}(x){|}^{\mathrm{2}}$ and (b) $n_{\mathrm{2}}=|{\psi }_{\mathrm{2}}(x){|}^{\mathrm{2}}$; density evolution of two components in quasimomentum space with (c) $n_{\mathrm{1}}=|{\psi }_{\mathrm{1}}(k){|}^{\mathrm{2}}$ and (d) $n_{\mathrm{2}}=|{\psi }_{\mathrm{2}}(k){|}^{\mathrm{2}}$