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https://github.com/LCPQ/quantum_package
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394 lines
17 KiB
Fortran
394 lines
17 KiB
Fortran
subroutine give_2h1p_contrib(matrix_2h1p)
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use bitmasks
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implicit none
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double precision , intent(inout) :: matrix_2h1p(N_det,N_det,*)
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integer :: i,j,r,a,b
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integer :: iorb, jorb, rorb, aorb, borb
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integer :: ispin,jspin
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integer :: idet,jdet
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integer(bit_kind) :: perturb_dets(N_int,2,n_act_orb,2,2)
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double precision :: perturb_dets_phase(n_act_orb,2,2)
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double precision :: perturb_dets_hij(n_act_orb,2,2)
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double precision :: coef_perturb_from_idet(n_act_orb,2,2,N_states)
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integer :: inint
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integer :: elec_num_tab_local(2),acu_elec
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integer(bit_kind) :: det_tmp(N_int,2)
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integer :: exc(0:2,2,2)
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integer :: accu_elec
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double precision :: get_mo_bielec_integral_schwartz
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double precision :: active_int(n_act_orb,2)
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double precision :: hij,phase
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!matrix_2h1p = 0.d0
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elec_num_tab_local = 0
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do inint = 1, N_int
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elec_num_tab_local(1) += popcnt(psi_det(inint,1,1))
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elec_num_tab_local(2) += popcnt(psi_det(inint,2,1))
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enddo
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do i = 1, n_inact_orb ! First inactive
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iorb = list_inact(i)
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do j = 1, n_inact_orb ! Second inactive
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jorb = list_inact(j)
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do r = 1, n_virt_orb ! First virtual
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rorb = list_virt(r)
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! take all the integral you will need for i,j,r fixed
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do a = 1, n_act_orb
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aorb = list_act(a)
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active_int(a,1) = get_mo_bielec_integral_schwartz(iorb,jorb,rorb,aorb,mo_integrals_map) ! direct
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active_int(a,2) = get_mo_bielec_integral_schwartz(iorb,jorb,aorb,rorb,mo_integrals_map) ! exchange
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enddo
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integer :: degree(N_det)
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integer :: idx(0:N_det)
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double precision :: delta_e(n_act_orb,2,N_states)
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integer :: istate
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integer :: index_orb_act_mono(N_det,3)
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do idet = 1, N_det
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call get_excitation_degree_vector_mono(psi_det,psi_det(1,1,idet),degree,N_int,N_det,idx)
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!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Precomputation of matrix elements
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do ispin = 1, 2 ! spin of the couple a-a^dagger (i,r)
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do jspin = 1, 2 ! spin of the couple z-a^dagger (j,a)
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if(ispin == jspin .and. iorb.le.jorb)cycle ! condition not to double count
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do a = 1, n_act_orb ! First active
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aorb = list_act(a)
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do inint = 1, N_int
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det_tmp(inint,1) = psi_det(inint,1,idet)
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det_tmp(inint,2) = psi_det(inint,2,idet)
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enddo
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! Do the excitation inactive -- > virtual
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call clear_bit_to_integer(iorb,det_tmp(1,ispin),N_int) ! hole in "iorb" of spin Ispin
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call set_bit_to_integer(rorb,det_tmp(1,ispin),N_int) ! particle in "rorb" of spin Ispin
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! Do the excitation inactive -- > active
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call clear_bit_to_integer(jorb,det_tmp(1,jspin),N_int) ! hole in "jorb" of spin Jspin
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call set_bit_to_integer(aorb,det_tmp(1,jspin),N_int) ! particle in "aorb" of spin Jspin
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! Check if the excitation is possible or not on psi_det(idet)
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accu_elec= 0
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do inint = 1, N_int
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accu_elec+= popcnt(det_tmp(inint,jspin))
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enddo
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if(accu_elec .ne. elec_num_tab_local(jspin))then
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perturb_dets_phase(a,jspin,ispin) = 0.0
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perturb_dets_hij(a,jspin,ispin) = 0.d0
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do istate = 1, N_states
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coef_perturb_from_idet(a,jspin,ispin,istate) = 0.d0
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enddo
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cycle
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endif
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do inint = 1, N_int
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perturb_dets(inint,1,a,jspin,ispin) = det_tmp(inint,1)
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perturb_dets(inint,2,a,jspin,ispin) = det_tmp(inint,2)
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enddo
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call get_double_excitation(psi_det(1,1,idet),det_tmp,exc,phase,N_int)
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perturb_dets_phase(a,jspin,ispin) = phase
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do istate = 1, N_states
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delta_e(a,jspin,istate) = one_creat(a,jspin,istate) &
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- fock_virt_total_spin_trace(rorb,istate) &
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+ fock_core_inactive_total_spin_trace(iorb,istate) &
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+ fock_core_inactive_total_spin_trace(jorb,istate)
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enddo
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if(ispin == jspin)then
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perturb_dets_hij(a,jspin,ispin) = phase * (active_int(a,2) - active_int(a,1) )
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else
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perturb_dets_hij(a,jspin,ispin) = phase * active_int(a,1)
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endif
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!!!!!!!!!!!!!!!!!!!!!1 Computation of the coefficient at first order coming from idet
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!!!!!!!!!!!!!!!!!!!!! for the excitation (i,j)(ispin,jspin) ---> (r,a)(ispin,jspin)
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do istate = 1, N_states
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coef_perturb_from_idet(a,jspin,ispin,istate) = perturb_dets_hij(a,jspin,ispin) / delta_e(a,jspin,istate)
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enddo
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enddo
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enddo
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enddo
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!!!!!!!!!!!!!!!!!!!!!!!!!!! determination of the connections between I and the other J determinants mono excited in the CAS
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!!!!!!!!!!!!!!!!!!!!!!!!!!!! the determinants I and J must be connected by the following operator
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!!!!!!!!!!!!!!!!!!!!!!!!!!!! <Jdet | a_{b} a^{\dagger}_a | Idet>
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do jdet = 1, idx(0)
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if(idx(jdet).ne.idet)then
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call get_mono_excitation(psi_det(1,1,idet),psi_det(1,1,idx(jdet)),exc,phase,N_int)
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if (exc(0,1,1) == 1) then
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! Mono alpha
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index_orb_act_mono(idx(jdet),1) = list_act_reverse(exc(1,2,1)) !!! a^{\dagger}_a
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index_orb_act_mono(idx(jdet),2) = list_act_reverse(exc(1,1,1)) !!! a_{b}
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index_orb_act_mono(idx(jdet),3) = 1
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else
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! Mono beta
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index_orb_act_mono(idx(jdet),1) = list_act_reverse(exc(1,2,2)) !!! a^{\dagger}_a
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index_orb_act_mono(idx(jdet),2) = list_act_reverse(exc(1,1,2)) !!! a_{b}
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index_orb_act_mono(idx(jdet),3) = 2
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endif
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else
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index_orb_act_mono(idx(jdet),1) = -1
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endif
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enddo
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integer :: kspin
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do jdet = 1, idx(0)
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if(idx(jdet).ne.idet)then
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! two determinants | Idet > and | Jdet > which are connected throw a mono excitation operator
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! are connected by the presence of the perturbers determinants |det_tmp>
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aorb = index_orb_act_mono(idx(jdet),1) ! a^{\dagger}_{aorb}
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borb = index_orb_act_mono(idx(jdet),2) ! a_{borb}
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kspin = index_orb_act_mono(idx(jdet),3) ! spin of the excitation
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! the determinants Idet and Jdet interact throw the following operator
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! | Jdet > = a_{borb,kspin} a^{\dagger}_{aorb, kspin} | Idet >
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do ispin = 1, 2 ! you loop on all possible spin for the excitation
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! a^{\dagger}_r a_{i} (ispin)
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if(ispin == kspin .and. iorb.le.jorb)cycle ! condition not to double count
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! | det_tmp > = a^{\dagger}_{rorb,ispin} a^{\dagger}_{aorb,kspin} a_{jorb,kspin} a_{iorb,ispin} | Idet >
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do inint = 1, N_int
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det_tmp(inint,1) = perturb_dets(inint,1,aorb,kspin,ispin)
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det_tmp(inint,2) = perturb_dets(inint,2,aorb,kspin,ispin)
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enddo
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double precision :: hja
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! you determine the interaction between the excited determinant and the other parent | Jdet >
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! | det_tmp > = a^{\dagger}_{rorb,ispin} a^{\dagger}_{borb,kspin} a_{jorb,kspin} a_{iorb,ispin} | Jdet >
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! hja = < det_tmp | H | Jdet >
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call get_double_excitation(psi_det(1,1,idx(jdet)),det_tmp,exc,phase,N_int)
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if(kspin == ispin)then
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hja = phase * (active_int(borb,2) - active_int(borb,1) )
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else
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hja = phase * active_int(borb,1)
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endif
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do istate = 1, N_states
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matrix_2h1p(idx(jdet),idet,istate) += hja * coef_perturb_from_idet(aorb,kspin,ispin,istate)
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enddo
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enddo ! ispin
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else
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! diagonal part of the dressing : interaction of | Idet > with all the perturbers generated by the excitations
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!
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! | det_tmp > = a^{\dagger}_{rorb,ispin} a^{\dagger}_{aorb,kspin} a_{jorb,kspin} a_{iorb,ispin} | Idet >
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do ispin = 1, 2
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do kspin = 1, 2
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if(ispin == kspin .and. iorb.le.jorb)cycle ! condition not to double count
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do a = 1, n_act_orb ! First active
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do istate = 1, N_states
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matrix_2h1p(idet,idet,istate) += coef_perturb_from_idet(a,kspin,ispin,istate) * perturb_dets_hij(a,kspin,ispin)
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enddo
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enddo
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enddo
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enddo
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endif
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enddo
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enddo
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enddo
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enddo
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enddo
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end
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subroutine give_1h2p_contrib(matrix_1h2p)
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use bitmasks
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implicit none
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double precision , intent(inout) :: matrix_1h2p(N_det,N_det,*)
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integer :: i,v,r,a,b
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integer :: iorb, vorb, rorb, aorb, borb
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integer :: ispin,jspin
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integer :: idet,jdet
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integer(bit_kind) :: perturb_dets(N_int,2,n_act_orb,2,2)
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double precision :: perturb_dets_phase(n_act_orb,2,2)
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double precision :: perturb_dets_hij(n_act_orb,2,2)
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double precision :: coef_perturb_from_idet(n_act_orb,2,2,N_states)
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integer :: inint
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integer :: elec_num_tab_local(2),acu_elec
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integer(bit_kind) :: det_tmp(N_int,2)
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integer :: exc(0:2,2,2)
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integer :: accu_elec
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double precision :: get_mo_bielec_integral_schwartz
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double precision :: active_int(n_act_orb,2)
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double precision :: hij,phase
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!matrix_1h2p = 0.d0
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elec_num_tab_local = 0
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do inint = 1, N_int
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elec_num_tab_local(1) += popcnt(psi_det(inint,1,1))
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elec_num_tab_local(2) += popcnt(psi_det(inint,2,1))
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enddo
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do i = 1, n_inact_orb ! First inactive
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iorb = list_inact(i)
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do v = 1, n_virt_orb ! First virtual
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vorb = list_virt(v)
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do r = 1, n_virt_orb ! Second virtual
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rorb = list_virt(r)
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! take all the integral you will need for i,j,r fixed
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do a = 1, n_act_orb
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aorb = list_act(a)
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active_int(a,1) = get_mo_bielec_integral_schwartz(iorb,aorb,rorb,vorb,mo_integrals_map) ! direct
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active_int(a,2) = get_mo_bielec_integral_schwartz(iorb,aorb,vorb,rorb,mo_integrals_map) ! exchange
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enddo
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integer :: degree(N_det)
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integer :: idx(0:N_det)
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double precision :: delta_e(n_act_orb,2,N_states)
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integer :: istate
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integer :: index_orb_act_mono(N_det,3)
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do idet = 1, N_det
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call get_excitation_degree_vector_mono(psi_det,psi_det(1,1,idet),degree,N_int,N_det,idx)
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!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Precomputation of matrix elements
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do ispin = 1, 2 ! spin of the couple a-a^dagger (iorb,rorb)
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do jspin = 1, 2 ! spin of the couple a-a^dagger (aorb,vorb)
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do a = 1, n_act_orb ! First active
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aorb = list_act(a)
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if(ispin == jspin .and. vorb.le.rorb)cycle ! condition not to double count
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do inint = 1, N_int
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det_tmp(inint,1) = psi_det(inint,1,idet)
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det_tmp(inint,2) = psi_det(inint,2,idet)
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enddo
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! Do the excitation inactive -- > virtual
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call clear_bit_to_integer(iorb,det_tmp(1,ispin),N_int) ! hole in "iorb" of spin Ispin
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call set_bit_to_integer(rorb,det_tmp(1,ispin),N_int) ! particle in "rorb" of spin Ispin
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! Do the excitation active -- > virtual
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call clear_bit_to_integer(aorb,det_tmp(1,jspin),N_int) ! hole in "aorb" of spin Jspin
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call set_bit_to_integer(vorb,det_tmp(1,jspin),N_int) ! particle in "vorb" of spin Jspin
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! Check if the excitation is possible or not on psi_det(idet)
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accu_elec= 0
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do inint = 1, N_int
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accu_elec+= popcnt(det_tmp(inint,jspin))
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enddo
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if(accu_elec .ne. elec_num_tab_local(jspin))then
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perturb_dets_phase(a,jspin,ispin) = 0.0
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perturb_dets_hij(a,jspin,ispin) = 0.d0
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do istate = 1, N_states
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coef_perturb_from_idet(a,jspin,ispin,istate) = 0.d0
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enddo
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cycle
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endif
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do inint = 1, N_int
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perturb_dets(inint,1,a,jspin,ispin) = det_tmp(inint,1)
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perturb_dets(inint,2,a,jspin,ispin) = det_tmp(inint,2)
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enddo
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do inint = 1, N_int
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det_tmp(inint,1) = perturb_dets(inint,1,a,jspin,ispin)
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det_tmp(inint,2) = perturb_dets(inint,2,a,jspin,ispin)
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enddo
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call get_double_excitation(psi_det(1,1,idet),det_tmp,exc,phase,N_int)
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perturb_dets_phase(a,jspin,ispin) = phase
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do istate = 1, N_states
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delta_e(a,jspin,istate) = one_anhil(a,jspin,istate) &
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- fock_virt_total_spin_trace(rorb,istate) &
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- fock_virt_total_spin_trace(vorb,istate) &
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+ fock_core_inactive_total_spin_trace(iorb,istate)
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enddo
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if(ispin == jspin)then
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perturb_dets_hij(a,jspin,ispin) = phase * (active_int(a,1) - active_int(a,2) )
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else
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perturb_dets_hij(a,jspin,ispin) = phase * active_int(a,1)
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endif
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!!!!!!!!!!!!!!!!!!!!!1 Computation of the coefficient at first order coming from idet
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!!!!!!!!!!!!!!!!!!!!! for the excitation (i,j)(ispin,jspin) ---> (r,a)(ispin,jspin)
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do istate = 1, N_states
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coef_perturb_from_idet(a,jspin,ispin,istate) = perturb_dets_hij(a,jspin,ispin) / delta_e(a,jspin,istate)
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enddo
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enddo
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enddo
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enddo
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!!!!!!!!!!!!!!!!!!!!!!!!!!! determination of the connections between I and the other J determinants mono excited in the CAS
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!!!!!!!!!!!!!!!!!!!!!!!!!!!! the determinants I and J must be connected by the following operator
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!!!!!!!!!!!!!!!!!!!!!!!!!!!! <Jdet | a^{\dagger}_b a_{a} | Idet>
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do jdet = 1, idx(0)
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if(idx(jdet).ne.idet)then
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call get_mono_excitation(psi_det(1,1,idet),psi_det(1,1,idx(jdet)),exc,phase,N_int)
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if (exc(0,1,1) == 1) then
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! Mono alpha
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index_orb_act_mono(idx(jdet),1) = list_act_reverse(exc(1,1,1)) !!! a_a
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index_orb_act_mono(idx(jdet),2) = list_act_reverse(exc(1,2,1)) !!! a^{\dagger}_{b}
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index_orb_act_mono(idx(jdet),3) = 1
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else
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! Mono beta
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index_orb_act_mono(idx(jdet),1) = list_act_reverse(exc(1,1,2)) !!! a_a
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index_orb_act_mono(idx(jdet),2) = list_act_reverse(exc(1,2,2)) !!! a^{\dagger}_{b}
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index_orb_act_mono(idx(jdet),3) = 2
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endif
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else
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index_orb_act_mono(idx(jdet),1) = -1
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endif
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enddo
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integer :: kspin
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do jdet = 1, idx(0)
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if(idx(jdet).ne.idet)then
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! two determinants | Idet > and | Jdet > which are connected throw a mono excitation operator
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! are connected by the presence of the perturbers determinants |det_tmp>
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aorb = index_orb_act_mono(idx(jdet),1) ! a_{aorb}
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borb = index_orb_act_mono(idx(jdet),2) ! a^{\dagger}_{borb}
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kspin = index_orb_act_mono(idx(jdet),3) ! spin of the excitation
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! the determinants Idet and Jdet interact throw the following operator
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! | Jdet > = a^{\dagger}_{borb,kspin} a_{aorb, kspin} | Idet >
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do ispin = 1, 2 ! you loop on all possible spin for the excitation
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! a^{\dagger}_r a_{i} (ispin)
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if(ispin == kspin .and. vorb.le.rorb)cycle ! condition not to double count
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! | det_tmp > = a^{\dagger}_{rorb,ispin} a^{\dagger}_{vorb,kspin} a_{aorb,kspin} a_{iorb,ispin} | Idet >
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do inint = 1, N_int
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det_tmp(inint,1) = perturb_dets(inint,1,aorb,kspin,ispin)
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det_tmp(inint,2) = perturb_dets(inint,2,aorb,kspin,ispin)
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enddo
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double precision :: hja
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! you determine the interaction between the excited determinant and the other parent | Jdet >
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! | det_tmp > = a^{\dagger}_{rorb,ispin} a^{\dagger}_{vorb,kspin} a_{borb,kspin} a_{iorb,ispin} | Jdet >
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! hja = < det_tmp | H | Jdet >
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call get_double_excitation(psi_det(1,1,idx(jdet)),det_tmp,exc,phase,N_int)
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if(kspin == ispin)then
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hja = phase * (active_int(borb,1) - active_int(borb,2) )
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else
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hja = phase * active_int(borb,1)
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endif
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do istate = 1, N_states
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matrix_1h2p(idx(jdet),idet,istate) += hja * coef_perturb_from_idet(aorb,kspin,ispin,istate)
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enddo
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enddo ! ispin
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else
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! diagonal part of the dressing : interaction of | Idet > with all the perturbers generated by the excitations
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!
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! | det_tmp > = a^{\dagger}_{rorb,ispin} a^{\dagger}_{vorb,kspin} a_{aorb,kspin} a_{iorb,ispin} | Idet >
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do ispin = 1, 2
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do kspin = 1, 2
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do a = 1, n_act_orb ! First active
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aorb = list_act(a)
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if(ispin == kspin .and. vorb.le.rorb)cycle ! condition not to double count
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do istate = 1, N_states
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matrix_1h2p(idet,idet,istate) += coef_perturb_from_idet(a,kspin,ispin,istate) * perturb_dets_hij(a,kspin,ispin)
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enddo
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enddo
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enddo
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enddo
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endif
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enddo
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enddo
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enddo
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enddo
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enddo
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end
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