From 87be499dd8b9cab29f581aa45e45eab48edd3093 Mon Sep 17 00:00:00 2001
From: Nuwan Yapa <yapanuwan@gmail.com>
Date: Fri, 28 Jun 2024 18:55:00 -0400
Subject: [PATCH] Bruteforce fix for the identification issue

---
 calculations/3body_Berggren_B2R_EC.jl | 22 +++++++++++++++-------
 1 file changed, 15 insertions(+), 7 deletions(-)

diff --git a/calculations/3body_Berggren_B2R_EC.jl b/calculations/3body_Berggren_B2R_EC.jl
index 91d2ec3..f506c7d 100644
--- a/calculations/3body_Berggren_B2R_EC.jl
+++ b/calculations/3body_Berggren_B2R_EC.jl
@@ -9,6 +9,14 @@ println("No of threads = ", Threads.nthreads())
 atol = 10^-5
 maxevals = 10^5
 
+exact_ref = reverse([4.076662025307587-0.012709842443350328im,
+    3.613318119833891-0.007335804709990623im,
+    3.1453431847006783-0.004030580410326795im,
+    2.672967129943755-0.00211498327461944im,
+    2.196542557810288-0.0010719835443437104im,
+    1.7164583929199813-0.0005455212208182736im,
+    1.233088227541505-0.0003070320106485624im])
+
 Λ = 0
 m = 1.0
 Va_of_r(r) = 2 * exp(-(r-3)^2 / (1.5)^2)
@@ -19,7 +27,7 @@ Vb_of_r(r) = -exp(-(r/3)^2)
 μ2 = m * 2/3
 
 vertices = [0, 2 - 0.1im, 3, 4]
-subdivisions = [10, 10, 10]
+subdivisions = [16, 10, 10]
 ks, ws = get_mesh(vertices, subdivisions)
 
 jmax = 4
@@ -65,9 +73,9 @@ E_max = 40
 
 @time "Ha" Ha = T + Va1 + Va2
 @time "Vb" Vb = Vb1 + Vb2
-@time "Eigenvalues" target_evals, _ = eigs(Ha, nev=3, ncv=24, which=:LI, maxiter=5000, tol=1e-5, ritzvec=false, check=1)
+@time "Eigenvalues" test_evals, _ = eigs(Ha, sigma=exact_ref[end], maxiter=5000, tol=1e-5, ritzvec=false, check=1)
 
-display(target_evals)
+display(test_evals)
 
 # free memory
 Es = n1s = l1s = n2s = l2s = mask1 = mask2 = T1 = T2 = V1_cache = V_relative_cache = V1 = V_relative = U = V2 = nothing
@@ -86,7 +94,7 @@ training_vecs = Vector{ComplexF64}[]
 for c in training_c
     println("Training for c = $c")
     H = Ha + c .* Vb
-    evals, evecs = eigs(H, nev=3, ncv=24, which=:LI, maxiter=5000, tol=1e-5, ritzvec=true, check=1)
+    evals, evecs = eigs(H, sigma=current_E, maxiter=5000, tol=1e-5, ritzvec=true, check=1)
 
     global current_E = nearest(evals, current_E)
     push!(training, current_E)
@@ -101,12 +109,12 @@ N_EC = transpose(EC_basis) * weights_mat * EC_basis
 Ha_EC = transpose(EC_basis) * weights_mat * Ha * EC_basis
 Vb_EC = transpose(EC_basis) * weights_mat * Vb * EC_basis
 
-current_E = 4.0766890719636635 - 0.01275892774109674im
-
 for c in extrapolating_c
     println("Extrapolating for c = $c")
+    global current_E = pop!(exact_ref)
+
     H = Ha + c .* Vb
-    evals, evecs = eigs(H, nev=3, ncv=24, which=:LI, maxiter=5000, tol=1e-5, ritzvec=true, check=1)
+    evals, _ = eigs(H, sigma=current_E, maxiter=5000, tol=1e-5, ritzvec=false, check=1)
 
     global current_E = nearest(evals, current_E)
     push!(exact, current_E)