59 lines
1.7 KiB
Julia
59 lines
1.7 KiB
Julia
using LinearAlgebra, SparseArrays, Arpack
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include("helper.jl")
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include("p_space.jl")
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include("ho_basis.jl")
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println("No of threads = ", Threads.nthreads())
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atol = 10^-5
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maxevals = 10^5
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R_cutoff = 16
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Λ = 0
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m = 1.0
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μ1 = m * 1/2
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μ2 = m * 2/3
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target = 4.0766890719636875 - 0.012758927741074495im
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V_of_r(r) = 2 * exp(-(r-3)^2 / (1.5)^2)
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V_l(j, k, kp) = Vl_mat_elem(V_of_r, j, k, kp; atol=atol, maxevals=maxevals, R_cutoff=R_cutoff)
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vertices = [0, 2 - 0.2im, 3, 4]
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subdivisions = [15, 10, 10]
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ks, ws = get_mesh(vertices, subdivisions)
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jmax = 4
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tri((j1, j2)) = triangle_ineq(j1, j2, Λ)
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js = collect(Iterators.filter(tri, iter_prod(0:jmax, 0:jmax)))
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basis = iter_prod(js, zip(ks, ws), zip(ks, ws)) # basis = ((j1, j2), (k1, w1), (k2, w2))
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basis_size = length(js) * length(ks)^2
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@assert length(basis) == basis_size "Something wrong with the basis"
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println("Basis size = $basis_size")
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@time "T" begin
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T_blocks = [kron_sum(get_T_matrix(ks, μ1), get_T_matrix(ks, μ2)) for _ in js]
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T = blockdiag(sparse.(T_blocks)...)
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end
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@time "V1" begin
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V1_blocks = [kron(get_V_matrix((k, kp) -> V_l(j1, k, kp), ks, ws), I(length(ks))) for (j1, _) in js]
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V1 = blockdiag(sparse.(V1_blocks)...)
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end
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E_max = 30
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μω_global = 0.5
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μ1ω1 = μω_global * 1/2
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μ2ω2 = μω_global * 2
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@time "V2_HO" V2_HO = get_jacobi_V2_matrix(V_of_r, E_max, Λ, μω_global)
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@time "W_right" W_right = get_W_matrix(basis, E_max, Λ, μ1ω1, μ2ω2; weights=true)
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@time "W_left" W_left = get_W_matrix(basis, E_max, Λ, μ1ω1, μ2ω2; weights=false)
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@time "V2" V2 = W_left * V2_HO * transpose(W_right)
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@time "H" H = T + V1 + V2
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@time "Eigenvalues" evals, _ = eigs(H, sigma=target, maxiter=5000, tol=1e-5, ritzvec=false, check=1)
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display(evals)
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