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Tools /
MpIOverlapThe Synopsis
calculates the largest eigenvalue of the mixed transfer operator {$d$}, giving the overlap of the wavefunctions as {$\braket{\mbox{psi}}{\mbox{psi2}} = d^L$}, where {$L$} is the number of unit cells. Options
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Show the results in cartesian coordinates
show the results in polar coordinates
Show the real part of the result
show the imaginary part of the result
Show the magnitude part of the result
show the argument part of the result
show the argument in radians
show the equivalent correlation length ({$-1/\ln \lambda$})
Rotate psi1 N sites to the right
Parity-reflect psi1
Complex-conjugate psi1
Use the string operator Op (must be a ProductMPO) to calculate {$\bigbraket{\mbox{psi1}}{\mbox{Op}}{\mbox{psi2}}$}
calculate the overlap in this quantum number sector (can be used more than once)
order the quantum number sectors by magnitude
DescriptionThis command obtains the largest eigenvalue of the (mixed) transfer matrix between the two wavefunctions (and optional string operator). The transfer matrix is a scalar operator with respect to the global symmetries of the wavefunctions, and hence is block-diagonalized into quantum number sectors. Generally we want to find the largest overlap. However this is quantum number dependent - by default all quantum number sectors are listed, but the Note: for two unrelated wavefunctions (even if they represent the same physical state), it is in general not predictable which quantum number sector will have the largest overlap; it is necessary to check all of them. Examples
Notes
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