Reduce.m

Symmetry and trajectory-level state space reduction. Tries all applicable reduction methods (unless disabled during the call to create.m) and returns a cell array of projectors into a set of independently evolving reduced subspaces.

Syntax

    projectors=reduce(spin_system,L,rho)

Parameters

    L   -  Liouvillian matrix

    rho -  initial state (source state screening) or
           destination state (destination state screening)

Outputs

  projectors - a cell array of projectors into independently
               evolving reduced subspaces. The projectors are
               to be used as follows:

                   L_reduced=P'*L*P;    (for matrices)
                   rho_reduced=P'*rho;  (for state vectors)

Notes

Further information on what this function does is available in our papers on this subject

             http://dx.doi.org/10.1016/j.jmr.2008.08.008
             http://dx.doi.org/10.1063/1.3398146
             http://dx.doi.org/10.1016/j.jmr.2011.03.010

Briefly, the function tries symmetry factorisation, followed by zero track elimination, followed by disconnected subspace identifcation by path tracing.

See also

zte.m, path_trace.m, symmetry.m, perm_group.m, create.m, basis.m, thermalize.m, Kernel_functions

Version 2.2, authors: Ilya Kuprov, Luke Edwards, Matthew Krzystyniak