Deut pair.m - Revision history

Kuprov: Update function See also links and function index membership

2026-06-06T18:35:54Z

Update function See also links and function index membership

Kuprov: Rename Arguments section heading to Parameters

2026-06-05T17:48:20Z

Rename Arguments section heading to Parameters

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Normalise preformatted blank lines in function documentation blocks

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2026-06-05T15:47:45Z

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Kuprov: Update function page arguments and outputs from current Spinach source

2026-06-05T14:22:01Z

Update function page arguments and outputs from current Spinach source

Kuprov: Correct function page syntax from current Spinach source

2026-06-05T14:12:02Z

Correct function page syntax from current Spinach source

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Sync syntax/arguments/outputs with current Spinach source

Kuprov: Created page with "{{DISPLAYTITLE:deut_pair.m}} NOTOC All possible states of a spin-1 pair, classified by the total spin into singlet, triplet, and quartet. ==Syntax== [S,T,Q]=deut_pai..."

2025-05-17T12:18:47Z

Created page with "{{DISPLAYTITLE:deut_pair.m}} __NOTOC__ All possible states of a spin-1 pair, classified by the total spin into singlet, triplet, and quartet. ==Syntax== [S,T,Q]=deut_pai..."

New page

{{DISPLAYTITLE:deut_pair.m}} __NOTOC__
All possible states of a spin-1 pair, classified by the total spin into singlet, triplet, and quartet.

==Syntax==

[S,T,Q]=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--}

==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==
[[Kernel_functions#Elementary_states|Elementary_states]]

''Version 2.11, authors: [[Ilya Kuprov]], [[Anakin Aden]]''

@@ Line 7: / Line 7: @@
       [S,T,Q,Tc,Qc]=deut_pair(spin_system,spin_a,spin_b,options)
-==Arguments==
+==Parameters==
      spin_a  - the number of the first spin

@@ Line 22: / Line 22: @@
   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+, ...

@@ Line 20: / Line 20: @@
-S       - singlet state density matrix in Hilbert space, or state
+ S       - singlet state density matrix in Hilbert space, or state
            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-}
-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--}
-Tc      - coherences between triplet states:
+ Tc      - coherences between triplet states:
            {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-, Q- -> Q0, Q0 -> Q+, Q+ -> Q++}

@@ Line 41: / Line 41: @@
 ==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]]''

@@ Line 19: / Line 19: @@
 ==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--}
 ==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==

@@ Line 4: / Line 4: @@
 ==Syntax==
-    [S,T,Q]=deut_pair(spin_system,spin_a,spin_b,options)
 ==Arguments==