Completely positive trace preserving numerical methods for long-term generalized Maxwell-Bloch simulations

Michael Riesch, Christian Jirauschek

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Scopus citations

Abstract

The Maxwell-Bloch equations describe the interaction of light (treated classically with Maxwell's equations) and matter, where the latter is modeled as an ensemble of quantum mechanical systems with two energy levels. The dynamical behavior of the systems is described by the optical Bloch equations. This concept can be generalized to an arbitrary number of energy levels with the help of the density matrix hat rho and the Lindblad master equation partialt hat rho= -\mathrm{i} \hbar^{-1}[\hat{H}, \hat{\rho}] + \mathcal{D}(\hat{\rho, where hat H is the Hamiltonian of the system and mathcal{D} accounts for dissipation.

Original languageEnglish
Title of host publication2019 Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference, CLEO/Europe-EQEC 2019
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781728104690
DOIs
StatePublished - Jun 2019
Event2019 Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference, CLEO/Europe-EQEC 2019 - Munich, Germany
Duration: 23 Jun 201927 Jun 2019

Publication series

Name2019 Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference, CLEO/Europe-EQEC 2019

Conference

Conference2019 Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference, CLEO/Europe-EQEC 2019
Country/TerritoryGermany
CityMunich
Period23/06/1927/06/19

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