mirror of
https://github.com/QuantumPackage/qp2.git
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184 lines
6.8 KiB
Fortran
184 lines
6.8 KiB
Fortran
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use bitmasks
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BEGIN_PROVIDER [ integer, index_HF_psi_det]
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implicit none
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integer :: i,degree
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do i = 1, N_det
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call get_excitation_degree(HF_bitmask,psi_det(1,1,i),degree,N_int)
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if(degree == 0)then
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index_HF_psi_det = i
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exit
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endif
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enddo
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END_PROVIDER
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BEGIN_PROVIDER [double precision, eigval_right_tc_bi_orth, (N_states)]
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&BEGIN_PROVIDER [double precision, eigval_left_tc_bi_orth, (N_states)]
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&BEGIN_PROVIDER [double precision, reigvec_tc_bi_orth, (N_det,N_states)]
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&BEGIN_PROVIDER [double precision, leigvec_tc_bi_orth, (N_det,N_states)]
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&BEGIN_PROVIDER [double precision, norm_ground_left_right_bi_orth ]
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BEGIN_DOC
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! eigenvalues, right and left eigenvectors of the transcorrelated Hamiltonian on the BI-ORTHO basis
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END_DOC
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implicit none
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integer :: i, idx_dress, j, istate
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logical :: converged, dagger
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integer :: n_real_tc_bi_orth_eigval_right,igood_r,igood_l
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double precision, allocatable :: reigvec_tc_bi_orth_tmp(:,:),leigvec_tc_bi_orth_tmp(:,:),eigval_right_tmp(:)
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PROVIDE N_det N_int
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if(n_det.le.N_det_max_full)then
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allocate(reigvec_tc_bi_orth_tmp(N_det,N_det),leigvec_tc_bi_orth_tmp(N_det,N_det),eigval_right_tmp(N_det))
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call non_hrmt_real_diag(N_det,htilde_matrix_elmt_bi_ortho,&
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leigvec_tc_bi_orth_tmp,reigvec_tc_bi_orth_tmp,&
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n_real_tc_bi_orth_eigval_right,eigval_right_tmp)
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double precision, allocatable :: coef_hf_r(:),coef_hf_l(:)
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integer, allocatable :: iorder(:)
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allocate(coef_hf_r(N_det),coef_hf_l(N_det),iorder(N_det))
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do i = 1,N_det
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iorder(i) = i
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coef_hf_r(i) = -dabs(reigvec_tc_bi_orth_tmp(index_HF_psi_det,i))
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enddo
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call dsort(coef_hf_r,iorder,N_det)
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igood_r = iorder(1)
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print*,'igood_r, coef_hf_r = ',igood_r,coef_hf_r(1)
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do i = 1,N_det
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iorder(i) = i
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coef_hf_l(i) = -dabs(leigvec_tc_bi_orth_tmp(index_HF_psi_det,i))
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enddo
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call dsort(coef_hf_l,iorder,N_det)
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igood_l = iorder(1)
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print*,'igood_l, coef_hf_l = ',igood_l,coef_hf_l(1)
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if(igood_r.ne.igood_l.and.igood_r.ne.1)then
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print *,''
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print *,'Warning, the left and right eigenvectors are "not the same" '
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print *,'Warning, the ground state is not dominated by HF...'
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print *,'State with largest RIGHT coefficient of HF ',igood_r
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print *,'coef of HF in RIGHT eigenvector = ',reigvec_tc_bi_orth_tmp(index_HF_psi_det,igood_r)
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print *,'State with largest LEFT coefficient of HF ',igood_l
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print *,'coef of HF in LEFT eigenvector = ',leigvec_tc_bi_orth_tmp(index_HF_psi_det,igood_l)
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endif
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if(state_following_tc)then
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print *,'Following the states with the largest coef on HF'
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print *,'igood_r,igood_l',igood_r,igood_l
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i= igood_r
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eigval_right_tc_bi_orth(1) = eigval_right_tmp(i)
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do j = 1, N_det
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reigvec_tc_bi_orth(j,1) = reigvec_tc_bi_orth_tmp(j,i)
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! print*,reigvec_tc_bi_orth(j,1)
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enddo
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i= igood_l
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eigval_left_tc_bi_orth(1) = eigval_right_tmp(i)
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do j = 1, N_det
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leigvec_tc_bi_orth(j,1) = leigvec_tc_bi_orth_tmp(j,i)
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enddo
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else
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do i = 1, N_states
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eigval_right_tc_bi_orth(i) = eigval_right_tmp(i)
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eigval_left_tc_bi_orth(i) = eigval_right_tmp(i)
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do j = 1, N_det
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reigvec_tc_bi_orth(j,i) = reigvec_tc_bi_orth_tmp(j,i)
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leigvec_tc_bi_orth(j,i) = leigvec_tc_bi_orth_tmp(j,i)
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enddo
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enddo
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endif
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else
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double precision, allocatable :: H_jj(:),vec_tmp(:,:)
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external htc_bi_ortho_calc_tdav
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external htcdag_bi_ortho_calc_tdav
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external H_tc_u_0_opt
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external H_tc_dagger_u_0_opt
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allocate(H_jj(N_det),vec_tmp(N_det,n_states_diag))
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do i = 1, N_det
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call htilde_mu_mat_bi_ortho_tot(psi_det(1,1,i), psi_det(1,1,i), N_int, H_jj(i))
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enddo
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!!!! Preparing the left-eigenvector
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print*,'Computing the left-eigenvector '
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vec_tmp = 0.d0
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do istate = 1, N_states
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vec_tmp(1:N_det,istate) = psi_l_coef_bi_ortho(1:N_det,istate)
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enddo
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do istate = N_states+1, n_states_diag
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vec_tmp(istate,istate) = 1.d0
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enddo
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! call davidson_general_ext_rout_nonsym_b1space(vec_tmp, H_jj, eigval_left_tc_bi_orth, N_det, n_states, n_states_diag, converged, htcdag_bi_ortho_calc_tdav)
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call davidson_general_ext_rout_nonsym_b1space(vec_tmp, H_jj, eigval_left_tc_bi_orth, N_det, n_states, n_states_diag, converged, H_tc_dagger_u_0_opt)
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do istate = 1, N_states
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leigvec_tc_bi_orth(1:N_det,istate) = vec_tmp(1:N_det,istate)
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enddo
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print*,'Computing the right-eigenvector '
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!!!! Preparing the right-eigenvector
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vec_tmp = 0.d0
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do istate = 1, N_states
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vec_tmp(1:N_det,istate) = psi_r_coef_bi_ortho(1:N_det,istate)
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enddo
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do istate = N_states+1, n_states_diag
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vec_tmp(istate,istate) = 1.d0
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enddo
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! call davidson_general_ext_rout_nonsym_b1space(vec_tmp, H_jj, eigval_right_tc_bi_orth, N_det, n_states, n_states_diag, converged, htc_bi_ortho_calc_tdav)
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call davidson_general_ext_rout_nonsym_b1space(vec_tmp, H_jj, eigval_right_tc_bi_orth, N_det, n_states, n_states_diag, converged, H_tc_u_0_opt)
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do istate = 1, N_states
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reigvec_tc_bi_orth(1:N_det,istate) = vec_tmp(1:N_det,istate)
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enddo
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deallocate(H_jj)
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endif
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call bi_normalize(leigvec_tc_bi_orth,reigvec_tc_bi_orth,size(reigvec_tc_bi_orth,1),N_det,N_states)
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print*,'leigvec_tc_bi_orth(1,1),reigvec_tc_bi_orth(1,1) = ',leigvec_tc_bi_orth(1,1),reigvec_tc_bi_orth(1,1)
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norm_ground_left_right_bi_orth = 0.d0
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do j = 1, N_det
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norm_ground_left_right_bi_orth += leigvec_tc_bi_orth(j,1) * reigvec_tc_bi_orth(j,1)
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enddo
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print*,'norm l/r = ',norm_ground_left_right_bi_orth
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END_PROVIDER
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subroutine bi_normalize(u_l,u_r,n,ld,nstates)
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!!!! Normalization of the scalar product of the left/right eigenvectors
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double precision, intent(inout) :: u_l(ld,nstates), u_r(ld,nstates)
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integer, intent(in) :: n,ld,nstates
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integer :: i
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double precision :: accu, tmp
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do i = 1, nstates
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!!!! Normalization of right eigenvectors |Phi>
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accu = 0.d0
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do j = 1, n
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accu += u_r(j,i) * u_r(j,i)
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enddo
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accu = 1.d0/dsqrt(accu)
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print*,'accu_r = ',accu
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do j = 1, n
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u_r(j,i) *= accu
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enddo
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tmp = u_r(1,i) / dabs(u_r(1,i))
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do j = 1, n
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u_r(j,i) *= tmp
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enddo
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!!!! Adaptation of the norm of the left eigenvector such that <chi|Phi> = 1
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accu = 0.d0
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do j = 1, n
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accu += u_l(j,i) * u_r(j,i)
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! print*,j, u_l(j,i) , u_r(j,i)
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enddo
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if(accu.gt.0.d0)then
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accu = 1.d0/dsqrt(accu)
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else
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accu = 1.d0/dsqrt(-accu)
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endif
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tmp = (u_l(1,i) * u_r(1,i) )/dabs(u_l(1,i) * u_r(1,i))
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do j = 1, n
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u_l(j,i) *= accu * tmp
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u_r(j,i) *= accu
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enddo
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enddo
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end
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