qit.markov

Born-Markov noise

This module simulates the effects of a heat bath coupled to a quantum system, using the Born-Markov approximation in the weak coupling limit. This results in a Lindblad-form master equation for the system.

The treatment in this module mostly follows [16].

MarkovianBath methods

desc([long])	Bath description string for plots.
set_cutoff(cutoff_type, cut_omega)	Set the spectral density cutoff.
setup()	Initializes the g and s functions, and the LUT.
build_LUT([om])	Build a lookup table for the spectral correlation tensor Gamma.
compute_gs(x)	Computes the spectral correlation tensor.
corr(x)	Bath spectral correlation tensor, computed or interpolated.
fit(delta, T1, T2)	Qubit-bath coupling that reproduces given decoherence times.
plot_spectral_correlation()	Plot the spectral correlation tensor components \(\gamma\) and \(S\) as a function of omega.
plot_spectral_correlation_vs_cutoff([boltz])	Plot spectral correlation tensor components as a function of cutoff frequency.
plot_bath_correlation()	Plot the bath correlation function \(C_{s,\omega_c}(t) = \frac{1}{\hbar^2}\langle B(t) B(0)\rangle\).

Functions

lindblad_ops(H, D, B)	Lindblad operators for a Born-Markov master equation.
ops(H, D)	Jump operators for a Born-Markov master equation.
superop(H, D, B)	Liouvillian superoperator for a Born-Markov master equation.

Classes

MarkovianBath(bath_type, stat, TU, T)

Markovian heat bath.