What you know you can't explain, but you feel it. You've felt it your entire life, that there's something wrong with the world. You don't know what it is, but it's there, like a splinter in your mind, driving you mad.
What you know you can't explain, but you feel it. You've felt it your entire life, that there's something wrong with the world. You don't know what it is, but it's there, like a splinter in your mind, driving you mad.
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Tools /
MpIExpectationCrossThe Note that unless {$\vert \psi_1 \rangle$} and {$\vert \psi_2 \rangle$} are the same state, then the expectation value {$\langle \psi_1 \vert O \vert \psi_2 \rangle$} is zero in the thermodynamic limit, since {$\langle \psi_1 \vert \psi_2 \rangle$} scales as {$\Lambda_0^N$} where {$\Lambda_0$} is the leading eigenvalue of the cross transfer matrix between {$\vert \psi_1 \rangle$} and {$\vert \psi_2 \rangle$}. Synopsis
Calculates the expectation value of a finite operator Options
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Show the real part of the expectation value
Show the imaginary part of the expectation value
Calculate the transfer matrix in this sector (only relevant when the iMPS has good quantum numbers)
Verbose output (use multiple times for more output)
DescriptionTo calculate the expectation value, ExamplesIf
If If a phase factor is applied to one of the wavefunctions, then it should be possible to observe that NotesRe-calculating the transfer matrix each time is wasteful -- it is intended that some kind of caching mechanism will be implemented in the future. See also |