deut_pair.m

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

Elementary_states

Version 2.11, authors: Ilya Kuprov, Anakin Aden