Difference between revisions of "Rlx scalar.m"

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==See also==
 
==See also==
 
[[relaxation.m]], [[expmint.m]], [[lindbladian.m]], [[rlx_t1_t2.m]]
 
[[relaxation.m]], [[expmint.m]], [[lindbladian.m]], [[rlx_t1_t2.m]]
 
  
 
''Version 2.1, authors: [[Ilya Kuprov]]''
 
''Version 2.1, authors: [[Ilya Kuprov]]''

Revision as of 12:29, 25 April 2026

Scalar relaxation superoperator using Redfield theory.

Syntax

    R=rlx_scalar(spin_system,H0,H1,tau_c)

Description

Computes Redfield superoperator in situations when the system has a static background Hamiltonian and a perturbation with a scalar stochastic function in front of it. Scalar hyperfine relaxation is a common example. This function is called by Spinach relaxation theory module, but may also be invoked directly.

Arguments

    H0 - background Hamiltonian

    H1 - the stochastically modulated interaction operator
         multiplied by its root mean square modulation depth

    tau_c - the correlation time of the stochastic modulation

Outputs

    R  - relaxation superoperator as a negative definite matrix

Notes

If H1(t) has a non-zero average value, it must be subtracted out and put into H0.

See also

relaxation.m, expmint.m, lindbladian.m, rlx_t1_t2.m

Version 2.1, authors: Ilya Kuprov