quantum_package/plugins/MRPT_Utils/new_way_second_order_coef.i...

794 lines
39 KiB
Fortran

subroutine give_2h1p_contrib_sec_order(matrix_2h1p)
use bitmasks
implicit none
double precision , intent(inout) :: matrix_2h1p(N_det,N_det,*)
integer :: i,j,r,a,b
integer :: iorb, jorb, rorb, aorb, borb
integer :: ispin,jspin
integer :: idet,jdet
integer(bit_kind) :: perturb_dets(N_int,2,n_act_orb,2,2)
double precision :: perturb_dets_phase(n_act_orb,2,2)
double precision :: perturb_dets_hij(n_act_orb,2,2)
double precision :: coef_perturb_from_idet(n_act_orb,2,2,N_states,3)
integer :: inint
integer :: elec_num_tab_local(2),acu_elec
integer(bit_kind) :: det_tmp(N_int,2)
integer(bit_kind) :: det_tmp_j(N_int,2)
integer :: exc(0:2,2,2)
integer :: accu_elec
double precision :: get_mo_bielec_integral
double precision :: active_int(n_act_orb,2)
double precision :: hij,phase
integer :: index_orb_act_mono(N_det,6)
!matrix_2h1p = 0.d0
elec_num_tab_local = 0
do inint = 1, N_int
elec_num_tab_local(1) += popcnt(psi_det(inint,1,1))
elec_num_tab_local(2) += popcnt(psi_det(inint,2,1))
enddo
do i = 1, n_inact_orb ! First inactive
iorb = list_inact(i)
do j = 1, n_inact_orb ! Second inactive
jorb = list_inact(j)
do r = 1, n_virt_orb ! First virtual
rorb = list_virt(r)
! take all the integral you will need for i,j,r fixed
do a = 1, n_act_orb
aorb = list_act(a)
active_int(a,1) = get_mo_bielec_integral(iorb,jorb,rorb,aorb,mo_integrals_map) ! direct
active_int(a,2) = get_mo_bielec_integral(iorb,jorb,aorb,rorb,mo_integrals_map) ! exchange
perturb_dets_phase(a,1,1) = -1000.d0
perturb_dets_phase(a,1,2) = -1000.d0
perturb_dets_phase(a,2,2) = -1000.d0
perturb_dets_phase(a,2,1) = -1000.d0
enddo
integer :: degree(N_det)
integer :: idx(0:N_det)
double precision :: delta_e(n_act_orb,2,N_states)
integer :: istate
do idet = 1, N_det
call get_excitation_degree_vector_mono_or_exchange(psi_det,psi_det(1,1,idet),degree,N_int,N_det,idx)
! if(idet == 81)then
! call get_excitation_degree_vector_mono_or_exchange_verbose(psi_det(1,1,1),psi_det(1,1,idet),degree,N_int,N_det,idx)
! endif
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Precomputation of matrix elements
do ispin = 1, 2 ! spin of the couple a-a^dagger (i,r)
do jspin = 1, 2 ! spin of the couple z-a^dagger (j,a)
if(ispin == jspin .and. iorb.le.jorb)cycle ! condition not to double count
do a = 1, n_act_orb ! First active
aorb = list_act(a)
do inint = 1, N_int
det_tmp(inint,1) = psi_det(inint,1,idet)
det_tmp(inint,2) = psi_det(inint,2,idet)
enddo
! Do the excitation inactive -- > virtual
call clear_bit_to_integer(iorb,det_tmp(1,ispin),N_int) ! hole in "iorb" of spin Ispin
call set_bit_to_integer(rorb,det_tmp(1,ispin),N_int) ! particle in "rorb" of spin Ispin
! Do the excitation inactive -- > active
call clear_bit_to_integer(jorb,det_tmp(1,jspin),N_int) ! hole in "jorb" of spin Jspin
call set_bit_to_integer(aorb,det_tmp(1,jspin),N_int) ! particle in "aorb" of spin Jspin
! Check if the excitation is possible or not on psi_det(idet)
accu_elec= 0
do inint = 1, N_int
accu_elec+= popcnt(det_tmp(inint,jspin))
enddo
if(accu_elec .ne. elec_num_tab_local(jspin))then
perturb_dets_phase(a,jspin,ispin) = -1000.d0
perturb_dets_hij(a,jspin,ispin) = 0.d0
do istate = 1, N_states
coef_perturb_from_idet(a,jspin,ispin,istate,1) = 0.d0
coef_perturb_from_idet(a,jspin,ispin,istate,2) = 0.d0
enddo
cycle
endif
do inint = 1, N_int
perturb_dets(inint,1,a,jspin,ispin) = det_tmp(inint,1)
perturb_dets(inint,2,a,jspin,ispin) = det_tmp(inint,2)
enddo
call get_double_excitation(psi_det(1,1,idet),det_tmp,exc,phase,N_int)
perturb_dets_phase(a,jspin,ispin) = phase
do istate = 1, N_states
delta_e(a,jspin,istate) = one_creat(a,jspin,istate) &
- fock_virt_total_spin_trace(rorb,istate) &
+ fock_core_inactive_total_spin_trace(iorb,istate) &
+ fock_core_inactive_total_spin_trace(jorb,istate)
enddo
if(ispin == jspin)then
perturb_dets_hij(a,jspin,ispin) = phase * (active_int(a,2) - active_int(a,1) )
else
perturb_dets_hij(a,jspin,ispin) = phase * active_int(a,1)
endif
!!!!!!!!!!!!!!!!!!!!!1 Computation of the coefficient at first order coming from idet
!!!!!!!!!!!!!!!!!!!!! for the excitation (i,j)(ispin,jspin) ---> (r,a)(ispin,jspin)
do istate = 1, N_states
coef_perturb_from_idet(a,jspin,ispin,istate,1) = perturb_dets_hij(a,jspin,ispin) / delta_e(a,jspin,istate)
enddo
enddo
enddo
enddo
!!!!!!!!!!!!!!!!!!!!!!!!!!! determination of the connections between I and the other J determinants mono excited in the CAS
!!!!!!!!!!!!!!!!!!!!!!!!!!!! the determinants I and J must be connected by the following operator
!!!!!!!!!!!!!!!!!!!!!!!!!!!! <Jdet | a^{\dagger}_b a_{a} | Idet>
!!!!!!!!!!!!!!!!!!!!!!!!!!!! <Jdet | K_{ab} | Idet>
integer :: i_hole,i_part
double precision :: hij_test
double precision :: fock_operator_local(n_act_orb,n_act_orb,2)
do jdet = 1, idx(0)
if(idx(jdet).ne.idet)then
if(degree(jdet)==1)then
call get_mono_excitation(psi_det(1,1,idet),psi_det(1,1,idx(jdet)),exc,phase,N_int)
if (exc(0,1,1) == 1) then
! Mono alpha
i_hole = list_act_reverse(exc(1,1,1)) !!! a_a
i_part = list_act_reverse(exc(1,2,1)) !!! a^{\dagger}_{b}
kspin = 1 !!! kspin
index_orb_act_mono(idx(jdet),1) = i_hole
index_orb_act_mono(idx(jdet),2) = i_part
index_orb_act_mono(idx(jdet),3) = kspin
call i_H_j_dyall(psi_active(1,1,idet),psi_active(1,1,idx(jdet)),N_int,hij)
fock_operator_local(i_hole,i_part,kspin) = hij * phase ! phase less fock operator
fock_operator_local(i_part,i_hole,kspin) = hij * phase ! phase less fock operator
else
! Mono beta
i_hole = list_act_reverse(exc(1,1,2)) !!! a_a
i_part = list_act_reverse(exc(1,2,2)) !!! a^{\dagger}_{b}
kspin = 2 !!! kspin
index_orb_act_mono(idx(jdet),1) = i_hole
index_orb_act_mono(idx(jdet),2) = i_part
index_orb_act_mono(idx(jdet),3) = kspin
call i_H_j_dyall(psi_active(1,1,idet),psi_active(1,1,idx(jdet)),N_int,hij)
fock_operator_local(i_hole,i_part,kspin) = hij * phase ! phase less fock operator
fock_operator_local(i_part,i_hole,kspin) = hij * phase ! phase less fock operator
endif
else if(degree(jdet)==2)then
call get_double_excitation(psi_det(1,1,idet),psi_det(1,1,idx(jdet)),exc,phase,N_int)
! Mono alpha
index_orb_act_mono(idx(jdet),1) = list_act_reverse(exc(1,1,1)) !!! a_a
index_orb_act_mono(idx(jdet),2) = list_act_reverse(exc(1,2,1)) !!! a^{\dagger}_{b}
index_orb_act_mono(idx(jdet),3) = 1
! Mono beta
index_orb_act_mono(idx(jdet),4) = list_act_reverse(exc(1,1,2)) !!! a_a
index_orb_act_mono(idx(jdet),5) = list_act_reverse(exc(1,2,2)) !!! a^{\dagger}_{b}
index_orb_act_mono(idx(jdet),6) = 2
endif
else
index_orb_act_mono(idx(jdet),1) = -1
endif
enddo
integer :: kspin
integer :: corb,i_ok
integer(bit_kind) :: det_tmp_bis(N_int,2)
double precision :: hib , hab , hja
double precision :: delta_e_ab(N_states)
double precision :: hib_test,hja_test,hab_test
do jdet = 1, idx(0)
if(idx(jdet).ne.idet)then
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! CASE OF THE MONO EXCITATIONS
if(degree(jdet) == 1)then
! ! two determinants | Idet > and | Jdet > which are connected throw a mono excitation operator
! ! are connected by the presence of the perturbers determinants |det_tmp>
aorb = index_orb_act_mono(idx(jdet),1) ! a^{\dagger}_{aorb}
borb = index_orb_act_mono(idx(jdet),2) ! a_{borb}
kspin = index_orb_act_mono(idx(jdet),3) ! spin of the excitation
do ispin = 1, 2 ! you loop on all possible spin for the excitation
! a^{\dagger}_r a_{i} (ispin)
! ! the determinants Idet and Jdet interact throw the following operator
! ! | Jdet > = a_{borb,kspin} a^{\dagger}_{aorb, kspin} | Idet >
do jspin = 1, 2
if (jspin .ne. kspin)then
do corb = 1, n_act_orb
if(perturb_dets_phase(corb,jspin,ispin).le.-100d0)cycle
! ! | det_tmp > = a^{\dagger}_{rorb,ispin} a^{\dagger}_{corb,kspin} a_{jorb,kspin} a_{iorb,ispin} | Idet >
do inint = 1, N_int
det_tmp(inint,1) = perturb_dets(inint,1,corb,jspin,ispin)
det_tmp(inint,2) = perturb_dets(inint,2,corb,jspin,ispin)
det_tmp_bis(inint,1) = perturb_dets(inint,1,corb,jspin,ispin)
det_tmp_bis(inint,2) = perturb_dets(inint,2,corb,jspin,ispin)
enddo
! ! < idet | H | det_tmp > = phase * (ir|cv)
call get_double_excitation(psi_det(1,1,idet),det_tmp,exc,phase,N_int)
if(ispin == jspin)then
hib= phase * (active_int(corb,1) - active_int(corb,2))
else
hib= phase * active_int(corb,1)
endif
! | det_tmp_bis > = a^{\dagger}_{borb,kspin} a_{aorb,kspin} | det_tmp >
call do_mono_excitation(det_tmp_bis,list_act(aorb),list_act(borb),kspin,i_ok)
if(i_ok .ne. 1)cycle
call get_mono_excitation(det_tmp,det_tmp_bis,exc,phase,N_int)
! < det_tmp | H | det_tmp_bis > = F_{aorb,borb}
hab = (fock_operator_local(aorb,borb,kspin) ) * phase
! < jdet | H | det_tmp_bis > = phase * (ir|cv)
call get_double_excitation(det_tmp_bis,psi_det(1,1,idx(jdet)),exc,phase,N_int)
if(ispin == jspin)then
hja= phase * (active_int(corb,1) - active_int(corb,2))
else
hja= phase * (active_int(corb,1))
endif
do istate = 1, N_states
delta_e_ab(istate) = delta_e(corb,jspin,istate) + one_anhil_one_creat(borb,aorb,kspin,kspin,istate)
matrix_2h1p(idx(jdet),idet,istate) = matrix_2h1p(idx(jdet),idet,istate) + &
hib / delta_e(corb,jspin,istate) * hab / delta_e_ab(istate) * hja
! ! < det_tmp | H | Idet > / delta_E (Idet --> det_tmp )
! ! < det_tmp | H | det_tmp_bis > / delta_E (Idet --> det_tmp --> det_tmp_bis)
! ! < det_tmp_bis | H | Jdet >
enddo
enddo ! corb
else
if(ispin == kspin .and. iorb.le.jorb)cycle ! condition not to double count
do corb = 1, n_act_orb
if(corb == aorb .or. corb == borb) cycle
if(perturb_dets_phase(corb,jspin,ispin).le.-100d0)cycle
! ! | det_tmp > = a^{\dagger}_{rorb,ispin} a^{\dagger}_{vorb,kspin} a_{corb,jspin} a_{iorb,ispin} | Idet >
do inint = 1, N_int
det_tmp(inint,1) = perturb_dets(inint,1,corb,jspin,ispin)
det_tmp(inint,2) = perturb_dets(inint,2,corb,jspin,ispin)
det_tmp_bis(inint,1) = perturb_dets(inint,1,corb,jspin,ispin)
det_tmp_bis(inint,2) = perturb_dets(inint,2,corb,jspin,ispin)
enddo
! < idet | H | det_tmp > = phase * ( (ir|cv) - (iv|cr) )
call get_double_excitation(psi_det(1,1,idet),det_tmp,exc,phase,N_int)
if(ispin == jspin)then
hib= phase * (active_int(corb,1) - active_int(corb,2))
else
hib= phase * active_int(corb,1)
endif
! | det_tmp_bis > = a^{\dagger}_{borb,kspin} a_{aorb,kspin} | det_tmp >
call do_mono_excitation(det_tmp_bis,list_act(aorb),list_act(borb),kspin,i_ok)
if(i_ok .ne. 1)cycle
call get_mono_excitation(det_tmp,det_tmp_bis,exc,phase,N_int)
! ! < det_tmp | H | det_tmp_bis > = F_{aorb,borb}
hab = fock_operator_local(aorb,borb,kspin) * phase
! if(isnan(hab))then
if(hab /= hab)then
print*, '2'
stop
endif
! < jdet | H | det_tmp_bis > = phase * ( (ir|cv) - (iv|cr) )
call get_double_excitation(det_tmp_bis,psi_det(1,1,idx(jdet)),exc,phase,N_int)
if(ispin == jspin)then
hja= phase * (active_int(corb,1) - active_int(corb,2))
else
hja= phase * (active_int(corb,1))
endif
do istate = 1, N_states
delta_e_ab(istate) = delta_e(corb,jspin,istate) + one_anhil_one_creat(borb,aorb,kspin,kspin,istate)
matrix_2h1p(idx(jdet),idet,istate) = matrix_2h1p(idx(jdet),idet,istate) + &
hib / delta_e(corb,jspin,istate) * hab / delta_e_ab(istate) * hja
! ! < det_tmp | H | Idet > / delta_E (Idet --> det_tmp )
! ! < det_tmp | H | det_tmp_bis > / delta_E (Idet --> det_tmp --> det_tmp_bis)
! ! < det_tmp_bis | H | Jdet >
enddo
enddo ! corb
endif
enddo
enddo
!
else !! Double excitation operators
!
if (index_orb_act_mono(idx(jdet),1) == index_orb_act_mono(idx(jdet),5))then !! spin exchange
do ispin = 1, 2 ! you loop on all possible spin for the excitation
! a^{\dagger}_r a_{i} (ispin)
!!! ! first combination of spin :: | det_tmp > = a^{\dagger}_{aorb,beta} | Idet >
jspin = 2
aorb = index_orb_act_mono(idx(jdet),1) ! hole of the alpha electron
borb = index_orb_act_mono(idx(jdet),2) ! particle of the alpha electron
if(perturb_dets_phase(aorb,jspin,ispin).le.-100d0)cycle
do inint = 1, N_int
det_tmp(inint,1) = perturb_dets(inint,1,aorb,jspin,ispin)
det_tmp(inint,2) = perturb_dets(inint,2,aorb,jspin,ispin)
det_tmp_bis(inint,1) = perturb_dets(inint,1,aorb,jspin,ispin)
det_tmp_bis(inint,2) = perturb_dets(inint,2,aorb,jspin,ispin)
enddo
! | det_tmp > = a^{\dagger}_{aorb,beta} | Idet >
call get_double_excitation(det_tmp,psi_det(1,1,idet),exc,phase,N_int)
if(ispin == jspin)then
hib= phase * (active_int(aorb,1) - active_int(aorb,2))
else
hib= phase * (active_int(aorb,1))
endif
if(hib .ne. perturb_dets_hij(aorb,jspin,ispin))then
print*, 'pb !!'
print*, 'hib .ne. perturb_dets_hij(aorb,jspin,ispin)'
stop
endif
enddo !! ispin
else if(index_orb_act_mono(idx(jdet),1) == index_orb_act_mono(idx(jdet),4))then !! closed shell double excitation
else
call get_excitation(psi_det(1,1,idet),psi_det(1,1,idx(jdet)),exc,degree_scalar,phase,N_int)
integer :: h1,h2,p1,p2,s1,s2 , degree_scalar
call decode_exc(exc,degree,h1,p1,h2,p2,s1,s2)
print*, h1,p1,h2,p2,s1,s2
call debug_det(psi_det(1,1,idet),N_int)
call debug_det(psi_det(1,1,idx(jdet)),N_int)
print*, idet,idx(jdet)
print*, 'pb !!!!!!!!!!!!!'
call get_excitation_degree_vector_mono_or_exchange_verbose(psi_det(1,1,1),psi_det(1,1,idet),degree,N_int,N_det,idx)
stop
endif
endif
else
!! diagonal part of the dressing : interaction of | Idet > with all the perturbers generated by the excitations
!!
!! | det_tmp > = a^{\dagger}_{rorb,ispin} a^{\dagger}_{aorb,kspin} a_{jorb,kspin} a_{iorb,ispin} | Idet >
!!do ispin = 1, 2
!! do kspin = 1, 2
!! if(ispin == kspin .and. iorb.le.jorb)cycle ! condition not to double count
!! do a = 1, n_act_orb ! First active
!! do istate = 1, N_states
!! matrix_2h1p(idet,idet,istate) += coef_perturb_from_idet(a,kspin,ispin,istate,2) * perturb_dets_hij(a,kspin,ispin)
!! enddo
!! enddo
!! enddo
!!enddo
!
endif
enddo
enddo
enddo
enddo
enddo
end
subroutine give_1h2p_contrib_sec_order(matrix_1h2p)
use bitmasks
implicit none
double precision , intent(inout) :: matrix_1h2p(N_det,N_det,*)
integer :: i,v,r,a,b,c
integer :: iorb, vorb, rorb, aorb, borb,corb
integer :: ispin,jspin
integer :: idet,jdet
integer(bit_kind) :: perturb_dets(N_int,2,n_act_orb,2,2)
double precision :: perturb_dets_phase(n_act_orb,2,2)
double precision :: perturb_dets_hij(n_act_orb,2,2)
double precision :: perturb_dets_hpsi0(n_act_orb,2,2,N_states)
double precision :: coef_perturb_from_idet(n_act_orb,2,2,N_states,2)
logical :: already_generated(n_act_orb,2,2)
integer :: inint
integer :: elec_num_tab_local(2),acu_elec
integer(bit_kind) :: det_tmp(N_int,2)
integer(bit_kind) :: det_tmp_j(N_int,2)
integer :: exc(0:2,2,2)
integer :: accu_elec
double precision :: get_mo_bielec_integral
double precision :: active_int(n_act_orb,2)
double precision :: hij,phase
double precision :: accu_contrib
integer :: degree(N_det)
integer :: idx(0:N_det)
double precision :: delta_e(n_act_orb,2,N_states)
integer :: istate
integer :: index_orb_act_mono(N_det,6)
double precision :: delta_e_inactive_virt(N_states)
integer :: kspin
double precision :: delta_e_ja(N_states)
double precision :: hja
double precision :: contrib_hij
double precision :: fock_operator_local(n_act_orb,n_act_orb,2)
double precision :: fock_operator_from_core(n_act_orb,n_act_orb)
double precision :: fock_operator_from_virt(n_act_orb,n_act_orb)
double precision :: fock_operator_from_act(n_act_orb,n_act_orb,n_act_orb,2)
accu_contrib = 0.d0
!matrix_1h2p = 0.d0
elec_num_tab_local = 0
do inint = 1, N_int
elec_num_tab_local(1) += popcnt(psi_det(inint,1,1))
elec_num_tab_local(2) += popcnt(psi_det(inint,2,1))
enddo
do i = 1, n_inact_orb ! First inactive
iorb = list_inact(i)
do v = 1, n_virt_orb ! First virtual
vorb = list_virt(v)
do r = 1, n_virt_orb ! Second virtual
rorb = list_virt(r)
! take all the integral you will need for i,j,r fixed
do a = 1, n_act_orb
aorb = list_act(a)
active_int(a,1) = get_mo_bielec_integral(iorb,aorb,rorb,vorb,mo_integrals_map) ! direct
active_int(a,2) = get_mo_bielec_integral(iorb,aorb,vorb,rorb,mo_integrals_map) ! exchange
perturb_dets_phase(a,1,1) = -1000.d0
perturb_dets_phase(a,1,2) = -1000.d0
perturb_dets_phase(a,2,2) = -1000.d0
perturb_dets_phase(a,2,1) = -1000.d0
already_generated(a,1,1) = .False.
already_generated(a,1,2) = .False.
already_generated(a,2,2) = .False.
already_generated(a,2,1) = .False.
enddo
do istate = 1, N_states
delta_e_inactive_virt(istate) = &
- fock_virt_total_spin_trace(rorb,istate) &
- fock_virt_total_spin_trace(vorb,istate) &
+ fock_core_inactive_total_spin_trace(iorb,istate)
enddo
do idet = 1, N_det
call get_excitation_degree_vector_mono_or_exchange(psi_det,psi_det(1,1,idet),degree,N_int,N_det,idx)
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Precomputation of matrix elements
do ispin = 1, 2 ! spin of the couple a-a^dagger (iorb,rorb)
do jspin = 1, 2 ! spin of the couple a-a^dagger (aorb,vorb)
do a = 1, n_act_orb ! First active
aorb = list_act(a)
do istate = 1, N_states
perturb_dets_hpsi0(a,jspin,ispin,istate) = 0.d0
coef_perturb_from_idet(a,jspin,ispin,istate,1) = 0.d0
coef_perturb_from_idet(a,jspin,ispin,istate,2) = 0.d0
enddo
if(ispin == jspin .and. vorb.le.rorb)cycle ! condition not to double count
do inint = 1, N_int
det_tmp(inint,1) = psi_det(inint,1,idet)
det_tmp(inint,2) = psi_det(inint,2,idet)
enddo
! Do the excitation inactive -- > virtual
call clear_bit_to_integer(iorb,det_tmp(1,ispin),N_int) ! hole in "iorb" of spin Ispin
call set_bit_to_integer(rorb,det_tmp(1,ispin),N_int) ! particle in "rorb" of spin Ispin
! Do the excitation active -- > virtual
call clear_bit_to_integer(aorb,det_tmp(1,jspin),N_int) ! hole in "aorb" of spin Jspin
call set_bit_to_integer(vorb,det_tmp(1,jspin),N_int) ! particle in "vorb" of spin Jspin
! Check if the excitation is possible or not on psi_det(idet)
accu_elec= 0
do inint = 1, N_int
accu_elec+= popcnt(det_tmp(inint,jspin))
enddo
if(accu_elec .ne. elec_num_tab_local(jspin))then
perturb_dets_phase(a,jspin,ispin) = -1000.0d0
perturb_dets_hij(a,jspin,ispin) = 0.d0
do istate = 1, N_states
coef_perturb_from_idet(a,jspin,ispin,istate,1) = 0.d0
coef_perturb_from_idet(a,jspin,ispin,istate,2) = 0.d0
enddo
cycle
endif
do inint = 1, N_int
perturb_dets(inint,1,a,jspin,ispin) = det_tmp(inint,1)
perturb_dets(inint,2,a,jspin,ispin) = det_tmp(inint,2)
enddo
do inint = 1, N_int
det_tmp(inint,1) = perturb_dets(inint,1,a,jspin,ispin)
det_tmp(inint,2) = perturb_dets(inint,2,a,jspin,ispin)
enddo
call get_double_excitation(psi_det(1,1,idet),det_tmp,exc,phase,N_int)
perturb_dets_phase(a,jspin,ispin) = phase
do istate = 1, N_states
delta_e(a,jspin,istate) = one_anhil(a,jspin,istate) + delta_e_inactive_virt(istate)
enddo
if(ispin == jspin)then
perturb_dets_hij(a,jspin,ispin) = phase * (active_int(a,1) - active_int(a,2) )
else
perturb_dets_hij(a,jspin,ispin) = phase * active_int(a,1)
endif
enddo
enddo
enddo
!!!!!!!!!!!!!!!!!!!!!!!!!!! determination of the connections between I and the other J determinants mono excited in the CAS
!!!!!!!!!!!!!!!!!!!!!!!!!!!! the determinants I and J must be connected by the following operator
!!!!!!!!!!!!!!!!!!!!!!!!!!!! <Jdet | a^{\dagger}_b a_{a} | Idet>
!!!!!!!!!!!!!!!!!!!!!!!!!!!! <Jdet | K_{ab} | Idet>
integer :: i_hole,i_part
double precision :: hij_test
do jdet = 1, idx(0)
if(idx(jdet).ne.idet)then
if(degree(jdet)==1)then
call get_mono_excitation(psi_det(1,1,idet),psi_det(1,1,idx(jdet)),exc,phase,N_int)
if (exc(0,1,1) == 1) then
! Mono alpha
i_hole = list_act_reverse(exc(1,1,1)) !!! a_a
i_part = list_act_reverse(exc(1,2,1)) !!! a^{\dagger}_{b}
kspin = 1 !!! kspin
index_orb_act_mono(idx(jdet),1) = i_hole
index_orb_act_mono(idx(jdet),2) = i_part
index_orb_act_mono(idx(jdet),3) = kspin
call i_H_j_dyall(psi_active(1,1,idet),psi_active(1,1,idx(jdet)),N_int,hij)
fock_operator_local(i_hole,i_part,kspin) = hij * phase ! phase less fock operator
fock_operator_local(i_part,i_hole,kspin) = hij * phase ! phase less fock operator
else
! Mono beta
i_hole = list_act_reverse(exc(1,1,2)) !!! a_a
i_part = list_act_reverse(exc(1,2,2)) !!! a^{\dagger}_{b}
kspin = 2 !!! kspin
index_orb_act_mono(idx(jdet),1) = i_hole
index_orb_act_mono(idx(jdet),2) = i_part
index_orb_act_mono(idx(jdet),3) = kspin
call i_H_j_dyall(psi_active(1,1,idet),psi_active(1,1,idx(jdet)),N_int,hij)
fock_operator_local(i_hole,i_part,kspin) = hij * phase ! phase less fock operator
fock_operator_local(i_part,i_hole,kspin) = hij * phase ! phase less fock operator
endif
else if(degree(jdet)==2)then
call get_double_excitation(psi_det(1,1,idet),psi_det(1,1,idx(jdet)),exc,phase,N_int)
! Mono alpha
index_orb_act_mono(idx(jdet),1) = list_act_reverse(exc(1,1,1)) !!! a_a
index_orb_act_mono(idx(jdet),2) = list_act_reverse(exc(1,2,1)) !!! a^{\dagger}_{b}
index_orb_act_mono(idx(jdet),3) = 1
! Mono beta
index_orb_act_mono(idx(jdet),4) = list_act_reverse(exc(1,1,2)) !!! a_a
index_orb_act_mono(idx(jdet),5) = list_act_reverse(exc(1,2,2)) !!! a^{\dagger}_{b}
index_orb_act_mono(idx(jdet),6) = 2
endif
else
index_orb_act_mono(idx(jdet),1) = -1
endif
enddo
integer ::dorb,i_ok
integer(bit_kind) :: det_tmp_bis(N_int,2)
double precision :: hib , hab
double precision :: delta_e_ab(N_states)
double precision :: hib_test,hja_test,hab_test
do jdet = 1, idx(0)
if(idx(jdet).ne.idet)then
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! CASE OF THE MONO EXCITATIONS
if(degree(jdet) == 1)then
! two determinants | Idet > and | Jdet > which are connected throw a mono excitation operator
! are connected by the presence of the perturbers determinants |det_tmp>
aorb = index_orb_act_mono(idx(jdet),1) ! a_{aorb}
borb = index_orb_act_mono(idx(jdet),2) ! a^{\dagger}_{borb}
kspin = index_orb_act_mono(idx(jdet),3) ! spin of the excitation
! the determinants Idet and Jdet interact throw the following operator
! | Jdet > = a^{\dagger}_{borb,kspin} a_{aorb, kspin} | Idet >
do ispin = 1, 2 ! you loop on all possible spin for the excitation
! a^{\dagger}_r a_{i} (ispin)
if(ispin == kspin .and. vorb.le.rorb)cycle ! condition not to double count
do jspin = 1, 2
if (jspin .ne. kspin)then
do corb = 1, n_act_orb
if(perturb_dets_phase(corb,jspin,ispin).le.-100d0)cycle
! | det_tmp > = a^{\dagger}_{rorb,ispin} a^{\dagger}_{vorb,kspin} a_{corb,kspin} a_{iorb,ispin} | Idet >
do inint = 1, N_int
det_tmp(inint,1) = perturb_dets(inint,1,corb,jspin,ispin)
det_tmp(inint,2) = perturb_dets(inint,2,corb,jspin,ispin)
det_tmp_bis(inint,1) = perturb_dets(inint,1,corb,jspin,ispin)
det_tmp_bis(inint,2) = perturb_dets(inint,2,corb,jspin,ispin)
enddo
! < idet | H | det_tmp > = phase * (ir|cv)
call get_double_excitation(psi_det(1,1,idet),det_tmp,exc,phase,N_int)
if(ispin == jspin)then
hib= phase * (active_int(corb,1) - active_int(corb,2))
else
hib= phase * active_int(corb,1)
endif
! | det_tmp_bis > = a^{\dagger}_{borb,kspin} a_{aorb,kspin} | det_tmp >
call do_mono_excitation(det_tmp_bis,list_act(aorb),list_act(borb),kspin,i_ok)
if(i_ok .ne. 1)cycle
call get_mono_excitation(det_tmp,det_tmp_bis,exc,phase,N_int)
! < det_tmp | H | det_tmp_bis > = F_{aorb,borb}
hab = (fock_operator_local(aorb,borb,kspin) ) * phase
! < jdet | H | det_tmp_bis > = phase * (ir|cv)
call get_double_excitation(det_tmp_bis,psi_det(1,1,idx(jdet)),exc,phase,N_int)
if(ispin == jspin)then
hja= phase * (active_int(corb,1) - active_int(corb,2))
else
hja= phase * (active_int(corb,1))
endif
do istate = 1, N_states
delta_e_ab(istate) = delta_e(corb,jspin,istate) + one_anhil_one_creat(borb,aorb,kspin,kspin,istate)
matrix_1h2p(idx(jdet),idet,istate) = matrix_1h2p(idx(jdet),idet,istate) + &
hib / delta_e(corb,jspin,istate) * hab / delta_e_ab(istate) * hja
! < det_tmp | H | Idet > / delta_E (Idet --> det_tmp )
! < det_tmp | H | det_tmp_bis > / delta_E (Idet --> det_tmp --> det_tmp_bis)
! < det_tmp_bis | H | Jdet >
enddo
enddo ! corb
else
do corb = 1, n_act_orb
if(corb == aorb .or. corb == borb) cycle
if(perturb_dets_phase(corb,jspin,ispin).le.-100d0)cycle
! | det_tmp > = a^{\dagger}_{rorb,ispin} a^{\dagger}_{vorb,kspin} a_{corb,jspin} a_{iorb,ispin} | Idet >
do inint = 1, N_int
det_tmp(inint,1) = perturb_dets(inint,1,corb,jspin,ispin)
det_tmp(inint,2) = perturb_dets(inint,2,corb,jspin,ispin)
det_tmp_bis(inint,1) = perturb_dets(inint,1,corb,jspin,ispin)
det_tmp_bis(inint,2) = perturb_dets(inint,2,corb,jspin,ispin)
enddo
! < idet | H | det_tmp > = phase * ( (ir|cv) - (iv|cr) )
call get_double_excitation(psi_det(1,1,idet),det_tmp,exc,phase,N_int)
if(ispin == jspin)then
hib= phase * (active_int(corb,1) - active_int(corb,2))
else
hib= phase * active_int(corb,1)
endif
! | det_tmp_bis > = a^{\dagger}_{borb,kspin} a_{aorb,kspin} | det_tmp >
call do_mono_excitation(det_tmp_bis,list_act(aorb),list_act(borb),kspin,i_ok)
if(i_ok .ne. 1)cycle
call get_mono_excitation(det_tmp,det_tmp_bis,exc,phase,N_int)
! ! < det_tmp | H | det_tmp_bis > = F_{aorb,borb}
hab = fock_operator_local(aorb,borb,kspin) * phase
! < jdet | H | det_tmp_bis > = phase * ( (ir|cv) - (iv|cr) )
call get_double_excitation(det_tmp_bis,psi_det(1,1,idx(jdet)),exc,phase,N_int)
if(ispin == jspin)then
hja= phase * (active_int(corb,1) - active_int(corb,2))
else
hja= phase * (active_int(corb,1))
endif
do istate = 1, N_states
delta_e_ab(istate) = delta_e(corb,jspin,istate) + one_anhil_one_creat(borb,aorb,kspin,kspin,istate)
matrix_1h2p(idx(jdet),idet,istate) = matrix_1h2p(idx(jdet),idet,istate) + &
hib / delta_e(corb,jspin,istate) * hab / delta_e_ab(istate) * hja
! < det_tmp | H | Idet > / delta_E (Idet --> det_tmp )
! < det_tmp | H | det_tmp_bis > / delta_E (Idet --> det_tmp --> det_tmp_bis)
! < det_tmp_bis | H | Jdet >
enddo
enddo ! corb
endif
enddo ! jspin
enddo ! ispin
else
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Case of double excitations !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
! a^{\dagger}_r a_{i} (ispin)
aorb = index_orb_act_mono(idx(jdet),4) ! hole of a beta electron
borb = index_orb_act_mono(idx(jdet),5) ! propagation of the hole :: mono excitation of alpha spin
do ispin = 1, 2 ! you loop on all possible spin for the excitation
! a^{\dagger}_r a_{i} (ispin)
! ! first combination of spin :: | det_tmp > = a_{aorb,beta} | Idet >
jspin = 2
if(perturb_dets_phase(aorb,jspin,ispin).le.-100d0)cycle
do inint = 1, N_int
det_tmp(inint,1) = perturb_dets(inint,1,aorb,jspin,ispin)
det_tmp(inint,2) = perturb_dets(inint,2,aorb,jspin,ispin)
det_tmp_bis(inint,1) = perturb_dets(inint,1,aorb,jspin,ispin)
det_tmp_bis(inint,2) = perturb_dets(inint,2,aorb,jspin,ispin)
enddo
call get_double_excitation(det_tmp,psi_det(1,1,idet),exc,phase,N_int)
if(ispin == jspin)then
hib= phase * (active_int(borb,1) - active_int(borb,2))
else
hib= phase * (active_int(borb,1))
endif
if( index_orb_act_mono(idx(jdet),1) == index_orb_act_mono(idx(jdet),5))then
call do_mono_excitation(det_tmp_bis,list_act(borb),list_act(aorb),1,i_ok)
if(i_ok .ne. 1)then
call debug_det(psi_det(1,1,idet),N_int)
call debug_det(psi_det(1,1,idx(jdet)),N_int)
print*, aorb, borb
call debug_det(det_tmp,N_int)
stop
endif
else
call do_mono_excitation(det_tmp_bis,list_act(aorb),list_act(borb),1,i_ok)
endif
if(i_ok .ne. 1)cycle
call get_mono_excitation(det_tmp,det_tmp_bis,exc,phase,N_int)
! < det_tmp | H | det_tmp_bis > = F_{aorb,borb}
if (aorb == borb)then
print*, 'iahaha'
stop
endif
hab = fock_operator_local(aorb,borb,1) * phase
call get_double_excitation(det_tmp_bis,psi_det(1,1,idx(jdet)),exc,phase,N_int)
if(ispin == jspin)then
hja= phase * (active_int(borb,1) - active_int(borb,2))
else
hja= phase * (active_int(borb,1))
endif
do istate = 1, N_states
delta_e_ab(istate) = delta_e(aorb,jspin,istate) + one_anhil_one_creat(borb,aorb,1,1,istate)
matrix_1h2p(idx(jdet),idet,istate) = matrix_1h2p(idx(jdet),idet,istate) + &
hib / delta_e(aorb,jspin,istate) * hab / delta_e_ab(istate) * hja
! < det_tmp | H | Idet > / delta_E (Idet --> det_tmp )
! < det_tmp | H | det_tmp_bis > / delta_E (Idet --> det_tmp --> det_tmp_bis)
! < det_tmp_bis | H | Jdet >
enddo !! istate
! ! second combination of spin :: | det_tmp > = a_{aorb,alpha} | Idet >
jspin = 1
if(perturb_dets_phase(aorb,jspin,ispin).le.-100d0)cycle
do inint = 1, N_int
det_tmp(inint,1) = perturb_dets(inint,1,aorb,jspin,ispin)
det_tmp(inint,2) = perturb_dets(inint,2,aorb,jspin,ispin)
det_tmp_bis(inint,1) = perturb_dets(inint,1,aorb,jspin,ispin)
det_tmp_bis(inint,2) = perturb_dets(inint,2,aorb,jspin,ispin)
enddo
call get_double_excitation(det_tmp,psi_det(1,1,idet),exc,phase,N_int)
if(ispin == jspin)then
hib= phase * (active_int(borb,1) - active_int(borb,2))
else
hib= phase * (active_int(borb,1))
endif
if( index_orb_act_mono(idx(jdet),1) == index_orb_act_mono(idx(jdet),5))then
call do_mono_excitation(det_tmp_bis,list_act(borb),list_act(aorb),2,i_ok)
if(i_ok .ne. 1)then
call debug_det(psi_det(1,1,idet),N_int)
call debug_det(psi_det(1,1,idx(jdet)),N_int)
print*, aorb, borb
call debug_det(det_tmp,N_int)
stop
endif
else
call do_mono_excitation(det_tmp_bis,list_act(aorb),list_act(borb),2,i_ok)
endif
if(i_ok .ne. 1)cycle
call get_mono_excitation(det_tmp,det_tmp_bis,exc,phase,N_int)
! < det_tmp | H | det_tmp_bis > = F_{aorb,borb}
hab = fock_operator_local(aorb,borb,2) * phase
call get_double_excitation(det_tmp_bis,psi_det(1,1,idx(jdet)),exc,phase,N_int)
if(ispin == jspin)then
hja= phase * (active_int(borb,1) - active_int(borb,2))
else
hja= phase * (active_int(borb,1))
endif
do istate = 1, N_states
delta_e_ab(istate) = delta_e(aorb,jspin,istate) + one_anhil_one_creat(borb,aorb,1,1,istate)
matrix_1h2p(idx(jdet),idet,istate) = matrix_1h2p(idx(jdet),idet,istate) + &
hib / delta_e(aorb,jspin,istate) * hab / delta_e_ab(istate) * hja
! < det_tmp | H | Idet > / delta_E (Idet --> det_tmp )
! < det_tmp | H | det_tmp_bis > / delta_E (Idet --> det_tmp --> det_tmp_bis)
! < det_tmp_bis | H | Jdet >
enddo !! istate
enddo !! ispin
endif !! en of test if jdet is a single or a double excitation of type K_ab
else !! jdet is idet
! diagonal part of the dressing : interaction of | Idet > with all the perturbers generated by the excitations
!
! | det_tmp > = a^{\dagger}_{rorb,ispin} a^{\dagger}_{vorb,kspin} a_{aorb,kspin} a_{iorb,ispin} | Idet >
do ispin = 1, 2
do kspin = 1, 2
do a = 1, n_act_orb ! First active
if( perturb_dets_phase(a,kspin,ispin) .le. -10.d0)cycle
if(ispin == kspin .and. vorb.le.rorb)cycle ! condition not to double count
contrib_hij = perturb_dets_hij(a,kspin,ispin) * perturb_dets_hij(a,kspin,ispin)
do istate = 1, N_states
! matrix_1h2p(idet,idet,istate) += contrib_hij * delta_e(a,kspin,istate)
! perturb_dets_hpsi0(a,kspin,ispin,istate) += psi_coef(idet,istate) * perturb_dets_hij(a,kspin,ispin)
! coef_perturb_from_idet(a,kspin,ispin,istate,1) += psi_coef(idet,istate) &
! * perturb_dets_hij(a,kspin,ispin) * delta_e(a,kspin,istate)
enddo
enddo
enddo
enddo
endif
enddo !! jdet
enddo
enddo
enddo
enddo
end