Difference between revisions of "Deut pair.m"

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==Outputs==
 
==Outputs==
  
    S      - singet state density matrix (Hilbert space)
+
 
              or state vector (Liouville space)
+
S      - singlet state density matrix in Hilbert space, or state
+
          vector in Liouville space
    T      - triplet state density matrices (Hilbert space)
+
 
              or state vectors (Liouville space), ordered in
+
T      - triplet state density matrices in Hilbert space, or state
              a cell array as {T+,T0,T-}
+
          vectors in Liouville space, ordered as {T+,T0,T-}
+
 
    Q      - quintet state density matrices (Hilbert space)
+
Q      - quintet state density matrices in Hilbert space, or state
              or state vectors (Liouville space), ordered in
+
          vectors in Liouville space, ordered as {Q++,Q+,Q0,Q-,Q--}
              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++}
  
 
==Notes==
 
==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.
+
 
 +
The states above are not irreducible spherical tensors; they are Zeeman-state combinations with conventional labels.
  
 
==See also==
 
==See also==

Revision as of 15:22, 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

Elementary_states

Version 2.11, authors: Ilya Kuprov, Anakin Aden