Difference between revisions of "Deut pair.m"
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[S,T,Q,Tc,Qc]=deut_pair(spin_system,spin_a,spin_b,options) | [S,T,Q,Tc,Qc]=deut_pair(spin_system,spin_a,spin_b,options) | ||
| − | == | + | ==Parameters== |
spin_a - the number of the first spin | spin_a - the number of the first spin | ||
| Line 22: | Line 22: | ||
S - singlet state density matrix in Hilbert space, or state | S - singlet state density matrix in Hilbert space, or state | ||
vector in Liouville space | vector in Liouville space | ||
| − | + | ||
T - triplet state density matrices in Hilbert space, or state | T - triplet state density matrices in Hilbert space, or state | ||
vectors in Liouville space, ordered as {T+,T0,T-} | vectors in Liouville space, ordered as {T+,T0,T-} | ||
| − | + | ||
Q - quintet state density matrices in Hilbert space, or state | Q - quintet state density matrices in Hilbert space, or state | ||
vectors in Liouville space, ordered as {Q++,Q+,Q0,Q-,Q--} | vectors in Liouville space, ordered as {Q++,Q+,Q0,Q-,Q--} | ||
| − | + | ||
Tc - coherences between triplet states: | Tc - coherences between triplet states: | ||
{T0 -> T-, T+ -> T0, T- -> T0, T0 -> T+} | {T0 -> T-, T+ -> T0, T- -> T0, T0 -> T+} | ||
| − | + | ||
Qc - coherences between quintet states: | Qc - coherences between quintet states: | ||
{Q- -> Q--, Q0 -> Q-, Q+ -> Q0, Q++ -> Q+, ... | {Q- -> Q--, Q0 -> Q-, Q+ -> Q0, Q++ -> Q+, ... | ||
| Line 41: | Line 41: | ||
==See also== | ==See also== | ||
| − | [[Kernel_functions | + | [[equilibrium.m]], [[four_spin_states.m]], [[partner_state.m]], [[singlet.m]], [[state.m]], [[triplet.m]], [[zftrip.m]], [[Kernel_functions]] |
''Version 2.11, authors: [[Ilya Kuprov]], [[Anakin Aden]]'' | ''Version 2.11, authors: [[Ilya Kuprov]], [[Anakin Aden]]'' | ||
Latest revision as of 19:35, 6 June 2026
All possible states of a spin-1 pair, classified by the total spin into singlet, triplet, and quartet.
Syntax
[S,T,Q,Tc,Qc]=deut_pair(spin_system,spin_a,spin_b,options)
Parameters
spin_a - the number of the first spin
spin_b - the number of the second spin
options.dephasing - set to 1 to eliminate the states that are
not stationary under Az+Bz Hamiltonian,
the default is to keep everything
Outputs
S - singlet state density matrix in Hilbert space, or state
vector in Liouville space
T - triplet state density matrices in Hilbert space, or state
vectors in Liouville space, ordered as {T+,T0,T-}
Q - quintet state density matrices in Hilbert space, or state
vectors in Liouville space, ordered as {Q++,Q+,Q0,Q-,Q--}
Tc - coherences between triplet states:
{T0 -> T-, T+ -> T0, T- -> T0, T0 -> T+}
Qc - coherences between quintet states:
{Q- -> Q--, Q0 -> Q-, Q+ -> Q0, Q++ -> Q+, ...
Q-- -> Q-, Q- -> Q0, Q0 -> Q+, Q+ -> Q++}
Notes
The states above are not irreducible spherical tensors; they are Zeeman-state combinations with conventional labels.
See also
equilibrium.m, four_spin_states.m, partner_state.m, singlet.m, state.m, triplet.m, zftrip.m, Kernel_functions
Version 2.11, authors: Ilya Kuprov, Anakin Aden
