Dnp field scan.m

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Magnetic field scan DNP experiment. Returns the equilibrium magnetization of all spins as a function of magnetic field. Syntax:

    answer=dnp_field_scan(spin_system,parameters,H,R,K)

where H is the Hamiltonian commutation superoperator, R is the relaxation superoperator and K is the chemical kinetics superoperator. The following parameters are required:

  parameters.mw_pwr      -   microwave power, Hz
  parameters.mw_frq      -   microwave frequency, Hz
  parameters.fields      -   a vector of magnetic field off-
                             sets from the B0 field, T
  parameters.rho_eq      -   equilibrium state at B0
  parameters.coil        -   coil state vector or a horizon-
                             tal stack thereof
  parameters.mw_oper     -   microwave irradiation operator
  parameters.ez_oper     -   Lz operator on the electrons
  parameters.method      -   'backslash' to use Matlab's
                             linear equation solver, 'gmres'
                             to use ILU preconditioned GMRES

Note: the relaxation superoperator should NOT be thermalized for this type of calculation.

Note: thermal equilibrium state is assumed to be the same at all fields in the sweep - do not use with broad magnetic field sweep experiments.