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

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.

11 pages, 4 figures, revised version published on PRA

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• Fisher information approach to non-equilibrium phase transitions in quantum XXZ spin chain with boundary noise
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• Identification of open quantum systems from observable time traces
• Quantum metrology with non-equilibrium steady states of quantum spin chains
• Non-Markovianity of Gaussian Channels
• A gradient algorithm for Hamiltonian identification of open quantum systems
• Optimal identification of non-Markovian environments for spin chains