Maxwell-Bloch-based dynamic modeling of quantum walk optical frequency combs

Michael A. Schreiber; Lukas Seitner; Johannes Stowasser; Ina Heckelmann; Michael Haider; Jérôme Faist; Christian Jirauschek

doi:10.1117/12.3017587

20 June 2024 Maxwell-Bloch-based dynamic modeling of quantum walk optical frequency combs

Michael A. Schreiber, Lukas Seitner, Johannes Stowasser, Ina Heckelmann, Michael Haider, Jérôme Faist, Christian Jirauschek

Author Affiliations +

Proceedings Volume 13002, Semiconductor Lasers and Laser Dynamics XI; 130020F (2024) https://doi.org/10.1117/12.3017587
Event: SPIE Photonics Europe, 2024, Strasbourg, France

Abstract

Often described as the quantum mechanical counterpart to the classical random walk, the quantum walk is characterized by a ballistic spread of the spatial particle probability distribution, with fundamental implications as well as practical relevance, e.g., for quantum algorithms. Recently, it has been shown that optical frequency combs can mimic the behavior of a quantum walk. This “quantum walk comb” is induced by the injection of a radio frequency (RF) signal into a ring-shaped, mid-infrared quantum cascade laser (QCL). Here, we report on a compact and accurate extension to the Maxwell-Bloch formalism to model RF injection into ring QCLs, including the dependence of the electronic system Hamiltonian on the RF bias field which co-propagates with the optical waveform. We present dynamical simulations of the quantum walk comb in good agreement with experiment, reproducing key features such as the ballistic buildup of the comb and the resulting Bessel-like spectra.

Conference Presentation

(2024) Published by SPIE. Downloading of the abstract is permitted for personal use only.

Citation Download Citation

Michael A. Schreiber, Lukas Seitner, Johannes Stowasser, Ina Heckelmann, Michael Haider, Jérôme Faist, and Christian Jirauschek "Maxwell-Bloch-based dynamic modeling of quantum walk optical frequency combs", Proc. SPIE 13002, Semiconductor Lasers and Laser Dynamics XI, 130020F (20 June 2024); https://doi.org/10.1117/12.3017587

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