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| 1 | +function run_all_functions() |
| 2 | + # block diagonal form |
| 3 | + run_block_diagonal_form() |
| 4 | + |
| 5 | + # correlations and spectrum |
| 6 | + run_correlations_and_spectrum() |
| 7 | + |
| 8 | + # dynamical fock dimension |
| 9 | + # run_dynamical_fock_dimension() # TODO: fix type instabilities here |
| 10 | + |
| 11 | + # dynamical shifted fock |
| 12 | + # run_dynamical_shifted_fock() # TODO: fix type instabilities here |
| 13 | + |
| 14 | + return nothing |
| 15 | +end |
| 16 | + |
| 17 | +#= |
| 18 | + Block Diagonal Form |
| 19 | +=# |
| 20 | +function run_block_diagonal_form() |
| 21 | + H, c_ops, a = driven_dissipative_kerr() |
| 22 | + L = liouvillian(H, c_ops) |
| 23 | + |
| 24 | + bdf = block_diagonal_form(L) |
| 25 | + |
| 26 | + return nothing |
| 27 | +end |
| 28 | + |
| 29 | +#= |
| 30 | + Correlations and Spectrum |
| 31 | +=# |
| 32 | +function run_correlations_and_spectrum() |
| 33 | + N = 10 |
| 34 | + H, c_ops, a = driven_dissipative_harmonic_oscillator(nth = 0.01, N = N) |
| 35 | + |
| 36 | + t_l = range(0, 333 * π, length = 1000) |
| 37 | + corr1 = correlation_2op_1t(H, nothing, t_l, c_ops, a', a; progress_bar = Val(false)) |
| 38 | + corr2 = correlation_3op_1t(H, nothing, t_l, c_ops, qeye(a.dims[1]), a', a; progress_bar = Val(false)) |
| 39 | + ω_l1, spec1 = spectrum_correlation_fft(t_l, corr1) |
| 40 | + |
| 41 | + ω_l2 = range(0, 3, length = 1000) |
| 42 | + spec2 = spectrum(H, ω_l2, c_ops, a', a) |
| 43 | + # spec3 = spectrum(H, ω_l2, c_ops, a', a; solver = PseudoInverse()) |
| 44 | + |
| 45 | + return nothing |
| 46 | +end |
| 47 | + |
| 48 | +#= |
| 49 | + Dynamical Fock Dimension |
| 50 | +=# |
| 51 | +function run_dynamical_fock_dimension() |
| 52 | + t_l = range(0, 15, length = 100) |
| 53 | + |
| 54 | + # Single mode |
| 55 | + F, Δ, κ = 5, 0.25, 1 |
| 56 | + |
| 57 | + maxdims = [150] |
| 58 | + ψ0 = fock(3, 0) |
| 59 | + dfd_params = (Δ = Δ, F = F, κ = κ) |
| 60 | + sol = dfd_mesolve(H_dfd1, ψ0, t_l, c_ops_dfd1, maxdims, dfd_params, e_ops = e_ops_dfd1, progress_bar = Val(false)) |
| 61 | + |
| 62 | + # Two modes |
| 63 | + F, Δ, κ, J = 1.5, 0.25, 1, 0.05 |
| 64 | + |
| 65 | + maxdims = [50, 50] |
| 66 | + ψ0 = kron(fock(3, 0), fock(20, 15)) |
| 67 | + dfd_params = (Δ = Δ, F = F, κ = κ, J = J) |
| 68 | + sol = dfd_mesolve(H_dfd2, ψ0, t_l, c_ops_dfd2, maxdims, dfd_params, e_ops = e_ops_dfd2, progress_bar = Val(false)) |
| 69 | + |
| 70 | + return nothing |
| 71 | +end |
| 72 | + |
| 73 | +#= |
| 74 | + Dynamical Shifted Fock |
| 75 | +=# |
| 76 | +function run_dynamical_shifted_fock() |
| 77 | + # Single mode |
| 78 | + F = 3 |
| 79 | + Δ = 0.25 |
| 80 | + κ = 1 |
| 81 | + U = 0.01 |
| 82 | + α0 = 1.5 |
| 83 | + |
| 84 | + tlist = range(0, 25, 300) |
| 85 | + |
| 86 | + N = 5 |
| 87 | + a = destroy(N) |
| 88 | + |
| 89 | + op_list = [a] |
| 90 | + ψ0 = fock(N, 0) |
| 91 | + α0_l = [α0] |
| 92 | + dsf_params = (Δ = Δ, F = F, κ = κ, U = U) |
| 93 | + |
| 94 | + sol_dsf_me = dsf_mesolve( |
| 95 | + H_dsf, |
| 96 | + ψ0, |
| 97 | + tlist, |
| 98 | + c_ops_dsf, |
| 99 | + op_list, |
| 100 | + α0_l, |
| 101 | + dsf_params, |
| 102 | + e_ops = e_ops_dsf, |
| 103 | + progress_bar = Val(false), |
| 104 | + ) |
| 105 | + sol_dsf_mc = dsf_mcsolve( |
| 106 | + H_dsf, |
| 107 | + ψ0, |
| 108 | + tlist, |
| 109 | + c_ops_dsf, |
| 110 | + op_list, |
| 111 | + α0_l, |
| 112 | + dsf_params, |
| 113 | + e_ops = e_ops_dsf, |
| 114 | + progress_bar = Val(false), |
| 115 | + ntraj = 500, |
| 116 | + ) |
| 117 | + |
| 118 | + # Two modes |
| 119 | + F = 2 |
| 120 | + Δ = 0.25 |
| 121 | + κ = 1 |
| 122 | + U = 0.01 |
| 123 | + J = 0.5 |
| 124 | + tlist = range(0, 15, 300) |
| 125 | + |
| 126 | + N = 5 |
| 127 | + a1 = kron(destroy(N), qeye(N)) |
| 128 | + a2 = kron(qeye(N), destroy(N)) |
| 129 | + |
| 130 | + op_list = [a1, a2] |
| 131 | + ψ0 = kron(fock(N, 0), fock(N, 0)) |
| 132 | + α0_l = [α0, α0] |
| 133 | + dsf_params = (Δ = Δ, F = F, κ = κ, U = U, J = J) |
| 134 | + |
| 135 | + sol_dsf_me = dsf_mesolve( |
| 136 | + H_dsf2, |
| 137 | + ψ0, |
| 138 | + tlist, |
| 139 | + c_ops_dsf2, |
| 140 | + op_list, |
| 141 | + α0_l, |
| 142 | + dsf_params, |
| 143 | + e_ops = e_ops_dsf2, |
| 144 | + progress_bar = Val(false), |
| 145 | + ) |
| 146 | + sol_dsf_mc = dsf_mcsolve( |
| 147 | + H_dsf2, |
| 148 | + ψ0, |
| 149 | + tlist, |
| 150 | + c_ops_dsf2, |
| 151 | + op_list, |
| 152 | + α0_l, |
| 153 | + dsf_params, |
| 154 | + e_ops = e_ops_dsf2, |
| 155 | + progress_bar = Val(false), |
| 156 | + ntraj = 500, |
| 157 | + ) |
| 158 | + |
| 159 | + return nothing |
| 160 | +end |
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