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S2.h
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190 lines (150 loc) · 5.2 KB
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#pragma once
#include "itensor/mps/mpo.h"
#include "itensor/util/print_macro.h"
namespace itensor {
MPO
makeS2(SiteSet const& sites,
Args const& args = Args::global())
{
auto skip_ancilla = args.getBool("SkipAncilla",false);
auto N = length(sites);
auto S2 = MPO(sites);
auto links = std::vector<Index>(N+1);
for(auto n : range(N+1))
{
auto ts = format("Link,l=%d",n);
links.at(n) = Index(QN({"Sz",0}),3,
QN({"Sz",-2}),1,
QN({"Sz",+2}),1,ts);
}
for(auto n : range1(N))
{
bool phys_site = true;
if(skip_ancilla && (n%2==0)) phys_site = false;
auto row = dag(links.at(n-1));
auto col = links.at(n);
auto& W = S2.ref(n);
W = ITensor(row,col,dag(sites(n)),prime(sites(n)));
W += op(sites,"Id",n) * setElt(row(1)) * setElt(col(1));
W += op(sites,"Id",n) * setElt(row(2)) * setElt(col(2));
if(phys_site)
{
W += op(sites,"S2",n) * setElt(row(2)) * setElt(col(1));
}
if(phys_site)
{
W += 2*op(sites,"Sz",n) * setElt(row(2)) * setElt(col(3));
W += op(sites,"Sz",n) * setElt(row(3)) * setElt(col(1));
}
W += op(sites,"Id",n) * setElt(row(3)) * setElt(col(3));
if(phys_site)
{
W += op(sites,"S+",n) * setElt(row(2)) * setElt(col(4));
W += op(sites,"S-",n) * setElt(row(4)) * setElt(col(1));
}
W += op(sites,"Id",n) * setElt(row(4)) * setElt(col(4));
if(phys_site)
{
W += op(sites,"S-",n) * setElt(row(2)) * setElt(col(5));
W += op(sites,"S+",n) * setElt(row(5)) * setElt(col(1));
}
W += op(sites,"Id",n) * setElt(row(5)) * setElt(col(5));
//W.scaleTo(1.);
}
S2.ref(1) *= setElt(links.at(0)(2));
S2.ref(N) *= setElt(dag(links.at(N))(1));
return S2;
}
MPO
makeTotSz2(SiteSet const& sites,
Args const& args = Args::global())
{
auto skip_ancilla = args.getBool("SkipAncilla",false);
auto N = sites.N();
auto Sz2 = MPO(sites);
auto links = std::vector<Index>(N+1);
for(auto n : range(N+1))
{
auto ts = format("Link,MPO,%d",n);
links.at(n) = Index(QN({"Sz=",0}),3,ts);
}
for(auto n : range1(N))
{
bool phys_site = true;
if(skip_ancilla && (n%2==0)) phys_site = false;
auto row = dag(links.at(n-1));
auto col = links.at(n);
auto& W = Sz2.ref(n);
W = ITensor(row,col,dag(sites(n)),prime(sites(n)));
W += op(sites,"Id",n) * setElt(row(1)) * setElt(col(1));
W += op(sites,"Id",n) * setElt(row(2)) * setElt(col(2));
if(phys_site)
{
W += op(sites,"Sz*Sz",n) * setElt(row(2)) * setElt(col(1));
}
if(phys_site)
{
W += 2*op(sites,"Sz",n) * setElt(row(2)) * setElt(col(3));
W += op(sites,"Sz",n) * setElt(row(3)) * setElt(col(1));
}
W += op(sites,"Id",n) * setElt(row(3)) * setElt(col(3));
//W.scaleTo(1.);
}
Sz2.ref(1) *= setElt(links.at(0)(2));
Sz2.ref(N) *= setElt(dag(links.at(N))(1));
return Sz2;
}
MPO
makeSxy2(SiteSet const& sites,
Args const& args = Args::global())
{
auto skip_ancilla = args.getBool("SkipAncilla",false);
auto N = sites.N();
auto Sxy2 = MPO(sites);
auto links = std::vector<Index>(N+1);
for(auto n : range(N+1))
{
auto ts = format("Link,MPO,%d",n);
links.at(n) = Index(QN({"Sz",0}),3,
QN({"Sz",-2}),1,
QN({"Sz",+2}),1,ts);
}
for(auto n : range1(N))
{
bool phys_site = true;
if(skip_ancilla && (n%2==0)) phys_site = false;
auto row = dag(links.at(n-1));
auto col = links.at(n);
auto& W = Sxy2.ref(n);
W = ITensor(row,col,dag(sites(n)),prime(sites(n)));
W += op(sites,"Id",n) * setElt(row(1)) * setElt(col(1));
W += op(sites,"Id",n) * setElt(row(2)) * setElt(col(2));
if(phys_site)
{
W += 0.5*op(sites,"Id",n) * setElt(row(2)) * setElt(col(1));
}
//if(phys_site)
// {
// W += 2*op(sites,"Sz",n) * setElt(row(2)) * setElt(col(3));
// W += op(sites,"Sz",n) * setElt(row(3)) * setElt(col(1));
// }
//W += op(sites,"Id",n) * setElt(row(3)) * setElt(col(3));
if(phys_site)
{
W += op(sites,"S+",n) * setElt(row(2)) * setElt(col(4));
W += op(sites,"S-",n) * setElt(row(4)) * setElt(col(1));
}
W += op(sites,"Id",n) * setElt(row(4)) * setElt(col(4));
if(phys_site)
{
W += op(sites,"S-",n) * setElt(row(2)) * setElt(col(5));
W += op(sites,"S+",n) * setElt(row(5)) * setElt(col(1));
}
W += op(sites,"Id",n) * setElt(row(5)) * setElt(col(5));
//W.scaleTo(1.);
}
Sxy2.ref(1) *= setElt(links.at(0)(2));
Sxy2.ref(N) *= setElt(dag(links.at(N))(1));
return Sxy2;
}
} //namespace itensor