/
tj.jl
234 lines (206 loc) · 7.15 KB
/
tj.jl
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"""
space(::SiteType"tJ";
conserve_qns = false,
conserve_sz = conserve_qns,
conserve_nf = conserve_qns,
conserve_nfparity = conserve_qns,
qnname_sz = "Sz",
qnname_nf = "Nf",
qnname_nfparity = "NfParity")
Create the Hilbert space for a site of type "tJ".
Optionally specify the conserved symmetries and their quantum number labels.
"""
function space(
::SiteType"tJ";
conserve_qns=false,
conserve_sz=conserve_qns,
conserve_nf=conserve_qns,
conserve_nfparity=conserve_qns,
qnname_sz="Sz",
qnname_nf="Nf",
qnname_nfparity="NfParity",
# Deprecated
conserve_parity=nothing,
)
if !isnothing(conserve_parity)
conserve_nfparity = conserve_parity
end
if conserve_sz && conserve_nf
return [
QN((qnname_nf, 0, -1), (qnname_sz, 0)) => 1
QN((qnname_nf, 1, -1), (qnname_sz, +1)) => 1
QN((qnname_nf, 1, -1), (qnname_sz, -1)) => 1
]
elseif conserve_nf
return [
QN(qnname_nf, 0, -1) => 1
QN(qnname_nf, 1, -1) => 2
]
elseif conserve_sz
return [
QN((qnname_sz, 0), (qnname_nfparity, 0, -2)) => 1
QN((qnname_sz, +1), (qnname_nfparity, 1, -2)) => 1
QN((qnname_sz, -1), (qnname_nfparity, 1, -2)) => 1
]
elseif conserve_nfparity
return [
QN(qnname_nfparity, 0, -2) => 1
QN(qnname_nfparity, 1, -2) => 2
]
end
return 3
end
val(::ValName"Emp", ::SiteType"tJ") = 1
val(::ValName"Up", ::SiteType"tJ") = 2
val(::ValName"Dn", ::SiteType"tJ") = 3
val(::ValName"0", st::SiteType"tJ") = val(ValName("Emp"), st)
val(::ValName"↑", st::SiteType"tJ") = val(ValName("Up"), st)
val(::ValName"↓", st::SiteType"tJ") = val(ValName("Dn"), st)
state(::StateName"Emp", ::SiteType"tJ") = [1.0, 0, 0]
state(::StateName"Up", ::SiteType"tJ") = [0.0, 1, 0]
state(::StateName"Dn", ::SiteType"tJ") = [0.0, 0, 1]
state(::StateName"0", st::SiteType"tJ") = state(StateName("Emp"), st)
state(::StateName"↑", st::SiteType"tJ") = state(StateName("Up"), st)
state(::StateName"↓", st::SiteType"tJ") = state(StateName("Dn"), st)
function op!(Op::ITensor, ::OpName"Nup", ::SiteType"tJ", s::Index)
return Op[s' => 2, s => 2] = 1.0
end
function op!(Op::ITensor, on::OpName"n↑", st::SiteType"tJ", s::Index)
return op!(Op, alias(on), st, s)
end
function op!(Op::ITensor, ::OpName"Ndn", ::SiteType"tJ", s::Index)
return Op[s' => 3, s => 3] = 1.0
end
function op!(Op::ITensor, on::OpName"n↓", st::SiteType"tJ", s::Index)
return op!(Op, alias(on), st, s)
end
function op!(Op::ITensor, ::OpName"Ntot", ::SiteType"tJ", s::Index)
Op[s' => 2, s => 2] = 1.0
return Op[s' => 3, s => 3] = 1.0
end
function op!(Op::ITensor, on::OpName"ntot", st::SiteType"tJ", s::Index)
return op!(Op, alias(on), st, s)
end
function op!(Op::ITensor, ::OpName"Cup", ::SiteType"tJ", s::Index)
return Op[s' => 1, s => 2] = 1.0
end
function op!(Op::ITensor, on::OpName"c↑", st::SiteType"tJ", s::Index)
return op!(Op, alias(on), st, s)
end
function op!(Op::ITensor, ::OpName"Cdagup", ::SiteType"tJ", s::Index)
return Op[s' => 2, s => 1] = 1.0
end
function op!(Op::ITensor, on::OpName"c†↑", st::SiteType"tJ", s::Index)
return op!(Op, alias(on), st, s)
end
function op!(Op::ITensor, ::OpName"Cdn", ::SiteType"tJ", s::Index)
return Op[s' => 1, s => 3] = 1.0
end
function op!(Op::ITensor, on::OpName"c↓", st::SiteType"tJ", s::Index)
return op!(Op, alias(on), st, s)
end
function op!(Op::ITensor, ::OpName"Cdagdn", ::SiteType"tJ", s::Index)
return Op[s' => 3, s => 1] = 1.0
end
function op!(Op::ITensor, on::OpName"c†↓", st::SiteType"tJ", s::Index)
return op!(Op, alias(on), st, s)
end
function op!(Op::ITensor, ::OpName"Aup", ::SiteType"tJ", s::Index)
return Op[s' => 1, s => 2] = 1.0
end
function op!(Op::ITensor, on::OpName"a↑", st::SiteType"tJ", s::Index)
return op!(Op, alias(on), st, s)
end
function op!(Op::ITensor, ::OpName"Adagup", ::SiteType"tJ", s::Index)
return Op[s' => 2, s => 1] = 1.0
end
function op!(Op::ITensor, on::OpName"a†↑", st::SiteType"tJ", s::Index)
return op!(Op, alias(on), st, s)
end
function op!(Op::ITensor, ::OpName"Adn", ::SiteType"tJ", s::Index)
return Op[s' => 1, s => 3] = 1.0
end
function op!(Op::ITensor, on::OpName"a↓", st::SiteType"tJ", s::Index)
return op!(Op, alias(on), st, s)
end
function op!(Op::ITensor, ::OpName"Adagdn", ::SiteType"tJ", s::Index)
return Op[s' => 3, s => 1] = 1.0
end
function op!(Op::ITensor, on::OpName"a†↓", st::SiteType"tJ", s::Index)
return op!(Op, alias(on), st, s)
end
function op!(Op::ITensor, ::OpName"F", ::SiteType"tJ", s::Index)
Op[s' => 1, s => 1] = +1.0
Op[s' => 2, s => 2] = -1.0
return Op[s' => 3, s => 3] = -1.0
end
function op!(Op::ITensor, ::OpName"Fup", ::SiteType"tJ", s::Index)
Op[s' => 1, s => 1] = +1.0
Op[s' => 2, s => 2] = -1.0
return Op[s' => 3, s => 3] = +1.0
end
function op!(Op::ITensor, on::OpName"F↑", st::SiteType"tJ", s::Index)
return op!(Op, alias(on), st, s)
end
function op!(Op::ITensor, ::OpName"Fdn", ::SiteType"tJ", s::Index)
Op[s' => 1, s => 1] = +1.0
Op[s' => 2, s => 2] = +1.0
return Op[s' => 3, s => 3] = -1.0
end
function op!(Op::ITensor, on::OpName"F↓", st::SiteType"tJ", s::Index)
return op!(Op, alias(on), st, s)
end
function op!(Op::ITensor, ::OpName"Sz", ::SiteType"tJ", s::Index)
Op[s' => 2, s => 2] = +0.5
return Op[s' => 3, s => 3] = -0.5
end
function op!(Op::ITensor, ::OpName"Sᶻ", st::SiteType"tJ", s::Index)
return op!(Op, OpName("Sz"), st, s)
end
function op!(Op::ITensor, ::OpName"Sx", ::SiteType"tJ", s::Index)
Op[s' => 2, s => 3] = 0.5
return Op[s' => 3, s => 2] = 0.5
end
function op!(Op::ITensor, ::OpName"Sˣ", st::SiteType"tJ", s::Index)
return op!(Op, OpName("Sx"), st, s)
end
function op!(Op::ITensor, ::OpName"S+", ::SiteType"tJ", s::Index)
return Op[s' => 2, s => 3] = 1.0
end
function op!(Op::ITensor, ::OpName"S⁺", st::SiteType"tJ", s::Index)
return op!(Op, OpName("S+"), st, s)
end
function op!(Op::ITensor, ::OpName"Sp", st::SiteType"tJ", s::Index)
return op!(Op, OpName("S+"), st, s)
end
function op!(Op::ITensor, ::OpName"Splus", st::SiteType"tJ", s::Index)
return op!(Op, OpName("S+"), st, s)
end
function op!(Op::ITensor, ::OpName"S-", ::SiteType"tJ", s::Index)
return Op[s' => 3, s => 2] = 1.0
end
function op!(Op::ITensor, ::OpName"S⁻", st::SiteType"tJ", s::Index)
return op!(Op, OpName("S-"), st, s)
end
function op!(Op::ITensor, ::OpName"Sm", st::SiteType"tJ", s::Index)
return op!(Op, OpName("S-"), st, s)
end
function op!(Op::ITensor, ::OpName"Sminus", st::SiteType"tJ", s::Index)
return op!(Op, OpName("S-"), st, s)
end
has_fermion_string(::OpName"Cup", ::SiteType"tJ") = true
function has_fermion_string(on::OpName"c↑", st::SiteType"tJ")
return has_fermion_string(alias(on), st)
end
has_fermion_string(::OpName"Cdagup", ::SiteType"tJ") = true
function has_fermion_string(on::OpName"c†↑", st::SiteType"tJ")
return has_fermion_string(alias(on), st)
end
has_fermion_string(::OpName"Cdn", ::SiteType"tJ") = true
function has_fermion_string(on::OpName"c↓", st::SiteType"tJ")
return has_fermion_string(alias(on), st)
end
has_fermion_string(::OpName"Cdagdn", ::SiteType"tJ") = true
function has_fermion_string(on::OpName"c†↓", st::SiteType"tJ")
return has_fermion_string(alias(on), st)
end