Difference between revisions of "Eigenfields.m"
(Created page with "{{DISPLAYTITLE:eigenfields.m}} __NOTOC__ Computes resonance fields. For a Hamiltonian Hc+b*Hz, returns all magnetic fields b for which the difference between any two eigenvalu...") |
|||
| Line 1: | Line 1: | ||
{{DISPLAYTITLE:eigenfields.m}} __NOTOC__ | {{DISPLAYTITLE:eigenfields.m}} __NOTOC__ | ||
| − | Computes resonance fields. For a Hamiltonian Hc+b*Hz, returns all magnetic fields b for which the difference between | + | Computes resonance fields. For a Hamiltonian Hc+b*Hz, returns all magnetic fields b for which the difference between two eigenvalues of Hc+b*Hz is equal to the frequency provided, and the transition moment across the specified operator is significant. |
==Syntax== | ==Syntax== | ||
| − | [ | + | [tf,tm]=eigenfields(spin_system,parameters,Hc,Hz,Hmw) |
==Arguments== | ==Arguments== | ||
| − | Hc - laboratory frame Hamiltonian commutation | + | Hc - laboratory frame Hamiltonian operator (Hilbert |
| − | + | space) or commutation superoperator (Liouville | |
| − | + | space, containing all spin-spin couplings, but | |
| + | no Zeeman terms | ||
| − | Hz - laboratory frame Hamiltonian commutation | + | Hz - laboratory frame Hamiltonian operator (Hilbert |
| − | + | space) or commutation superoperator (Liouville | |
| − | + | space, containing only Zeeman terms at 1 Tesla | |
| − | + | Hmw - microwave irradiation operator, without the am- | |
| + | plitude prefactor | ||
| − | window - | + | parameters.window - magnet field window, Tesla |
| − | + | ||
| + | parameters.mw_freq - microwave frequency, Hz | ||
| + | |||
| + | parameters.tm_tol - relative transition moment | ||
| + | tolerance | ||
| + | |||
| + | parameters.pp_tol - peak position tolerance in Tesla, | ||
| + | this should be much smaller than | ||
| + | the typical line width | ||
==Outputs== | ==Outputs== | ||
| − | + | tf - vector of transition fields in Tesla | |
| − | + | ||
| − | + | tm - vector of transition moments | |
| − | |||
| − | |||
==Notes== | ==Notes== | ||
| − | + | In Liouville space, a very expensive and barely stable generalised eigensolver supplied with Matlab is used. | |
==See also== | ==See also== | ||
| − | + | [[fieldsweep.m]] | |
| − | ''Version 2. | + | ''Version 2.6, authors: [[Ilya Kuprov]]'' |
Revision as of 14:04, 1 July 2021
Computes resonance fields. For a Hamiltonian Hc+b*Hz, returns all magnetic fields b for which the difference between two eigenvalues of Hc+b*Hz is equal to the frequency provided, and the transition moment across the specified operator is significant.
Syntax
[tf,tm]=eigenfields(spin_system,parameters,Hc,Hz,Hmw)
Arguments
Hc - laboratory frame Hamiltonian operator (Hilbert
space) or commutation superoperator (Liouville
space, containing all spin-spin couplings, but
no Zeeman terms
Hz - laboratory frame Hamiltonian operator (Hilbert
space) or commutation superoperator (Liouville
space, containing only Zeeman terms at 1 Tesla
Hmw - microwave irradiation operator, without the am-
plitude prefactor
parameters.window - magnet field window, Tesla
parameters.mw_freq - microwave frequency, Hz
parameters.tm_tol - relative transition moment
tolerance
parameters.pp_tol - peak position tolerance in Tesla,
this should be much smaller than
the typical line width
Outputs
tf - vector of transition fields in Tesla
tm - vector of transition moments
Notes
In Liouville space, a very expensive and barely stable generalised eigensolver supplied with Matlab is used.
See also
Version 2.6, authors: Ilya Kuprov
