Difference between revisions of "Deut pair.m"

From Spinach Documentation Wiki
Jump to: navigation, search
(Sync syntax/arguments/outputs with current Spinach source)
(Restore pre-bulk-edit wiki content)
Line 1: Line 1:
 
{{DISPLAYTITLE:deut_pair.m}} __NOTOC__
 
{{DISPLAYTITLE:deut_pair.m}} __NOTOC__
 
 
All possible states of a spin-1 pair, classified by the total spin into singlet, triplet, and quartet.
 
All possible states of a spin-1 pair, classified by the total spin into singlet, triplet, and quartet.
  
 
==Syntax==
 
==Syntax==
  
[S,T,Q,Tc,Qc]=deut_pair(spin_system,spin_a,spin_b,options)
+
    [S,T,Q]=deut_pair(spin_system,spin_a,spin_b,options)
  
 
==Arguments==
 
==Arguments==
  
spin_a  - the number of the first spin
+
    spin_a  - the number of the first spin
 
   
 
   
 
     spin_b  - the number of the second spin
 
     spin_b  - the number of the second spin
Line 19: Line 18:
 
==Outputs==
 
==Outputs==
  
S      - singet state density matrix (Hilbert space)
+
    S      - singet state density matrix (Hilbert space)
            or state vector (Liouville space)
+
              or state vector (Liouville space)
 
+
  T      - triplet state density matrices (Hilbert space)
+
    T      - triplet state density matrices (Hilbert space)
            or state vectors (Liouville space), ordered in
+
              or state vectors (Liouville space), ordered in
            a cell array as {T+,T0,T-}
+
              a cell array as {T+,T0,T-}
 
+
  Q      - quintet state density matrices (Hilbert space)
+
    Q      - quintet state density matrices (Hilbert space)
            or state vectors (Liouville space), ordered in
+
              or state vectors (Liouville space), ordered in
            a cell array 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++ }
 
 
 
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==
 
==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.
 
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==
 
==See also==
 
 
[[Kernel_functions#Elementary_states|Elementary_states]]
 
[[Kernel_functions#Elementary_states|Elementary_states]]
  
  
 
''Version 2.11, authors: [[Ilya Kuprov]], [[Anakin Aden]]''
 
''Version 2.11, authors: [[Ilya Kuprov]], [[Anakin Aden]]''

Revision as of 15:48, 5 April 2026

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

Elementary_states


Version 2.11, authors: Ilya Kuprov, Anakin Aden