# rlx_scalar.m

From Spinach Documentation Wiki

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*