Difference between revisions of "Deut pair.m"

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m (Rename Arguments section heading to Parameters)
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==See also==
 
==See also==
[[Kernel_functions#Elementary_states|Elementary_states]]
+
[[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