\\hat{H} =~\\omega_1\\hat a^\\dagger_1\\hat a_1~+~\\omega_2\\hat a^\\dagger_2\\hat a_2~+~E_{C_{33}}(\\hat{n}_3-n_{g_{3}})^2~+~E_{L_{1}}(-\\hat{\\varphi}_1-\\hat{\\varphi}_2)(-0.5\\varphi_{\\text{ext}_{1}})~+~E_{L_{2}}(-\\hat{\\varphi}_1+\\hat{\\varphi}_2)(-0.5\\varphi_{\\text{ext}_{1}})~+~E_{J_{1}}\\cos(-\\hat{\\varphi}_1+\\hat{\\varphi}_3)~+~E_{J_{2}}\\cos(-\\hat{\\varphi}_1-\\hat{\\varphi}_3)~\n------------------------------------------------------------\n\\text{mode}~1:~~~~~~~~~~~\\text{harmonic}~~~~~~~~~~~\\hat{\\varphi}_1~=~\\varphi_{zp_{1}}(\\hat a_1+\\hat a^\\dagger_1)~~~~~~~~~~~\\omega_1/2\\pi~=~3.22489~~~~~~~~~~~\\varphi_{zp_{1}}~=~2.49e+00\n\\text{mode}~2:~~~~~~~~~~~\\text{harmonic}~~~~~~~~~~~\\hat{\\varphi}_2~=~\\varphi_{zp_{2}}(\\hat a_2+\\hat a^\\dagger_2)~~~~~~~~~~~\\omega_2/2\\pi~=~0.39497~~~~~~~~~~~\\varphi_{zp_{2}}~=~8.72e-01\n\\text{mode}~3:~~~~~~~~~~~\\text{charge}~~~~~~~~~~~~~~~~n_{g_{3}}~=~0\n------------------------------------------------------------\n\\text{parameters}:~~~~~~~~~~~E_{C_{33}}~=~0.296~~~~~~~~~~~E_{L_{1}}~=~0.13~~~~~~~~~~~E_{L_{2}}~=~0.13~~~~~~~~~~~E_{J_{1}}~=~5.0~~~~~~~~~~~E_{J_{2}}~=~5.0~~~~~~~~~~~\n\\text{loops}:~~~~~~~~~~~~~~~~~~~~\\varphi_{\\text{ext}_{1}}/2\\pi~=~0.5~~~~~~~~~~~