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 - singet state density matrix (Hilbert space)

            or state vector (Liouville space)

  T       - triplet state density matrices (Hilbert space)
            or state vectors (Liouville space), ordered in
            a cell array as {T+,T0,T-}

  Q       - quintet state density matrices (Hilbert space)
            or state vectors (Liouville space), ordered in
            a cell array 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++ }

WARNING: the states above are NOT irreducible spherical tensors -
         Bargon just kroneckered up some Zeeman states and gave
         them what looked to him like reasonable labels.

ilya.kuprov@weizmann.ac.il
anakin.aden@mpinat.mpg.de

Notes

WARNING: the states above are NOT irreducible spherical tensors - Bargon just kroneckered up some Zeeman states and gave them what looked to him like appropriate labels.

See also

Elementary_states

Version 2.11, authors: Ilya Kuprov, Anakin Aden