Dear Dr. Troyer and users of ALPS,
I am trying to measure local magnetization with
MEASURE_LOCAL[Local magnetization]=Sx
for the following model:
<HAMILTONIAN name="my spin model 1">
<BASIS ref="spin"/>
<SITETERM site="i">
-2*xi*Sz(i)-2*h*Sx(i)
</SITETERM>
<BONDTERM source="i" target="j">
-g*(Splus(i)*Sminus(j)+Sminus(i)*Splus(j))
</BONDTERM>
</HAMILTONIAN>
Value of parameter xi depends on the site in an actual problem,
but this is not important now.
Since dirloop_sse says that "Offdiagonal site terms
are not implemented in this SSE code", I use the worm code.
Worm code says the following for this:
"Will not measure "Local magnetization" since it is
off-diagonal or not a site operator".
As a trick to overcome this problem,
I tried to rotate the coordinate system
in order to measure the required values with
MEASURE_LOCAL[Local magnetization]=Sz
In this case the rotated model is:
<SITEOPERATOR name="Sy" site="x">
1/2/I*(Splus(x)-Sminus(x))
</SITEOPERATOR>
<HAMILTONIAN name="my spin model 2">
<BASIS ref="spin"/>
<SITETERM site="i">
-2*xi*Sy(i)-2*h*Sz(i)
</SITETERM>
<BONDTERM source="i" target="j">
-2*g*Sz(i)*Sz(j)-2*g*Sx(i)*Sx(j)
</BONDTERM>
</HAMILTONIAN>
Now the worm code says the following:
"can not convert complex number into real one".
Therefore, the worm code does not seem to understand Sy(i) as
a site term in Hamiltonian (?).
Finally, I tried another version of rotation, which
also would allow to measure with
MEASURE_LOCAL[Local magnetization]=Sz
The rotated model is:
<SITEOPERATOR name="Sy" site="x">
1/2/I*(Splus(x)-Sminus(x))
</SITEOPERATOR>
<HAMILTONIAN name="my spin model 3">
<BASIS ref="spin"/>
<SITETERM site="i">
2*xi*Sx(i)-2*h*Sz(i)
</SITETERM>
<BONDTERM source="i" target="j">
-2*g*Sz(i)*Sz(j)-2*g*Sy(i)*Sy(j)
</BONDTERM>
</HAMILTONIAN>
Now the worm code says the following:
"Cannot simulate this bond term with the worm code".
Therefore, the worm code does not seem to
understand Sy(i)*Sy(j) as a bond term
in Hamiltonian (?).
Could you let me know whether there are
ways to perform the measurement ?
Sincerely yours,
Lev Barash