Difference between revisions of "Deut pair.m"
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| − | 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+, ... | ||
Q-- -> Q-, Q- -> Q0, Q0 -> Q+, Q+ -> Q++} | Q-- -> Q-, Q- -> Q0, Q0 -> Q+, Q+ -> Q++} | ||
Revision as of 16:47, 5 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)
Arguments
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
Version 2.11, authors: Ilya Kuprov, Anakin Aden
