Reconstruction of time-dependent coefficients: a check of approximation schemes for non-Markovian convolutionless dissipative generators

TL;DR

This paper introduces a method to reconstruct time-dependent coefficients in non-Markovian quantum dissipative systems using experimental data, enabling validation of theoretical models and revealing system dynamics.

Contribution

It presents a novel procedure combining tomography and data sampling to determine unknown dissipative coefficients and test theoretical approximations in non-Markovian quantum dynamics.

Findings

Successfully reconstructs time-dependent coefficients from experimental data.

Provides a consistency check for theoretical non-Markovian master equations.

Enhances understanding of dissipative quantum system evolution.

Abstract

We propose a procedure to fully reconstruct the time-dependent coefficients of convolutionless non-Markovian dissipative generators via a finite number of experimental measurements. By combining a tomography based approach with a proper data sampling, our proposal allows to relate the time-dependent coefficients governing the dissipative evolution of a quantum system to experimentally accessible quantities. The proposed scheme not only provides a way to retrieve full information about potentially unknown dissipative coefficients but also, most valuably, can be employed as a reliable consistency test for the approximations involved in the theoretical derivation of a given non-Markovian convolutionless master equation.