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 the 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.
- Authors:
-
- MECENAS, Universita Federico II di Napoli and Universita di Bari (Italy)
- Publication Date:
- OSTI Identifier:
- 21528812
- Resource Type:
- Journal Article
- Journal Name:
- Physical Review. A
- Additional Journal Information:
- Journal Volume: 82; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevA.82.062104; (c) 2010 American Institute of Physics; Journal ID: ISSN 1050-2947
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 74 ATOMIC AND MOLECULAR PHYSICS; APPROXIMATIONS; EVOLUTION; MARKOV PROCESS; SAMPLING; TIME DEPENDENCE; TOMOGRAPHY; CALCULATION METHODS; DIAGNOSTIC TECHNIQUES; STOCHASTIC PROCESSES
Citation Formats
Bellomo, Bruno, CNISM and Dipartimento di Scienzex Fisiche ed Astronomiche, Universita di Palermo, via Archirafi 36, I-90123 Palermo, De Pasquale, Antonella, Dipartimento di Fisica, Universita di Bari, via Amendola 173, I-70126 Bari, Gualdi, Giulia, Dipartimento di Matematica e Informatica, Universita degli Studi di Salerno, Via Ponte don Melillo, I-84084 Fisciano, CNR-INFM Coherentia, Napoli, Italy, CNISM Unita di Salerno, and INFN Sezione di Napoli gruppo collegato di Salerno, Marzolino, Ugo, and Dipartimento di Fisica, Universita di Trieste, Strada Costiera 11, I-34151, Trieste, Italy and INFN, Sezione di Trieste, I-34151, Trieste. Reconstruction of time-dependent coefficients: A check of approximation schemes for non-Markovian convolutionless dissipative generators. United States: N. p., 2010.
Web. doi:10.1103/PHYSREVA.82.062104.
Bellomo, Bruno, CNISM and Dipartimento di Scienzex Fisiche ed Astronomiche, Universita di Palermo, via Archirafi 36, I-90123 Palermo, De Pasquale, Antonella, Dipartimento di Fisica, Universita di Bari, via Amendola 173, I-70126 Bari, Gualdi, Giulia, Dipartimento di Matematica e Informatica, Universita degli Studi di Salerno, Via Ponte don Melillo, I-84084 Fisciano, CNR-INFM Coherentia, Napoli, Italy, CNISM Unita di Salerno, and INFN Sezione di Napoli gruppo collegato di Salerno, Marzolino, Ugo, & Dipartimento di Fisica, Universita di Trieste, Strada Costiera 11, I-34151, Trieste, Italy and INFN, Sezione di Trieste, I-34151, Trieste. Reconstruction of time-dependent coefficients: A check of approximation schemes for non-Markovian convolutionless dissipative generators. United States. https://doi.org/10.1103/PHYSREVA.82.062104
Bellomo, Bruno, CNISM and Dipartimento di Scienzex Fisiche ed Astronomiche, Universita di Palermo, via Archirafi 36, I-90123 Palermo, De Pasquale, Antonella, Dipartimento di Fisica, Universita di Bari, via Amendola 173, I-70126 Bari, Gualdi, Giulia, Dipartimento di Matematica e Informatica, Universita degli Studi di Salerno, Via Ponte don Melillo, I-84084 Fisciano, CNR-INFM Coherentia, Napoli, Italy, CNISM Unita di Salerno, and INFN Sezione di Napoli gruppo collegato di Salerno, Marzolino, Ugo, and Dipartimento di Fisica, Universita di Trieste, Strada Costiera 11, I-34151, Trieste, Italy and INFN, Sezione di Trieste, I-34151, Trieste. 2010.
"Reconstruction of time-dependent coefficients: A check of approximation schemes for non-Markovian convolutionless dissipative generators". United States. https://doi.org/10.1103/PHYSREVA.82.062104.
@article{osti_21528812,
title = {Reconstruction of time-dependent coefficients: A check of approximation schemes for non-Markovian convolutionless dissipative generators},
author = {Bellomo, Bruno and CNISM and Dipartimento di Scienzex Fisiche ed Astronomiche, Universita di Palermo, via Archirafi 36, I-90123 Palermo and De Pasquale, Antonella and Dipartimento di Fisica, Universita di Bari, via Amendola 173, I-70126 Bari and Gualdi, Giulia and Dipartimento di Matematica e Informatica, Universita degli Studi di Salerno, Via Ponte don Melillo, I-84084 Fisciano and CNR-INFM Coherentia, Napoli, Italy, CNISM Unita di Salerno, and INFN Sezione di Napoli gruppo collegato di Salerno and Marzolino, Ugo and Dipartimento di Fisica, Universita di Trieste, Strada Costiera 11, I-34151, Trieste, Italy and INFN, Sezione di Trieste, I-34151, Trieste},
abstractNote = {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 the 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.},
doi = {10.1103/PHYSREVA.82.062104},
url = {https://www.osti.gov/biblio/21528812},
journal = {Physical Review. A},
issn = {1050-2947},
number = 6,
volume = 82,
place = {United States},
year = {Wed Dec 15 00:00:00 EST 2010},
month = {Wed Dec 15 00:00:00 EST 2010}
}
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