AA2 – Materials, Light, Devices



Quantum-classical simulation of quantum dot nanolasers

Project Heads

Uwe Bandelow

Project Members

Alexander Pimenov (WIAS), Markus Kanter (WIAS, core support)

Project Duration

01.01.2019 – 31.12.2020

Located at



The second quantum revolution aims to bring quantum communication and information processing to real world applications, where nanolasers (see Fig. 1) are a key requirement. This project contributes to the development and optimization of emerging quantum technologies by advanced mathematical modeling and numerical simulation.


Selected Publications

  1. M. Kantner: “Generalized Scharfetter–Gummel schemes for electro-thermal transport in degenerate semiconductors using the Kelvin formula for the Seebeck coefficient”, Journal of Computational Physics 402, 109091 (2020).
  2. A. V. Kovalev, P. S. Dmitriev, A. G. Vladimirov,  A. Pimenov,  G. Huyet and E. A. Viktorov: “Bifurcation structure of a swept-source laser”, Physical Review E 101(1), p.012212 (2020).
  3. M. Heida, M. Kantner, A. Stephan: “Consistency and convergence for a family of finite volume discretizations of the Fokker–Planck operator”, Preprint no. 2684, WIAS, Berlin (2020), DOI 10.20347/WIAS.PREPRINT.2684
  4. M. Kantner, Th. Koprucki: “Non-isothermal Scharfetter-Gummel scheme for electro-thermal transport simulation in degenerate semiconductors”, Preprint no. 2664, WIAS, Berlin (2019), DOI: 10.20347/WIAS.PREPRINT.2664 
  5. M. Kantner, M. Mittnenzweig, A. Mielke and N. Rotundo: “Mathematical modeling of semiconductors: From quantum mechanics to devices.” In Topics in Applied Analysis and Optimisation: Partial Differential Equations, Stochastic and Numerical Analysis, Eds.: M. Hintermüller and J. Rodrigues, pp. 269-293, Springer, Cham (2019).
  6. M. Kantner: “Hybrid modeling of quantum light emitting diodes: Self-consistent coupling of drift-diffusion, Schrödinger–Poisson and quantum master equations,” Proc. SPIE Vol. 10912, Physics and Simulation of Optoelectronic Devices XXVII, 109120U (2019).

Selected Pictures

Fig. 1: (a) Illustration of a QD-micropillar nanolaser. The performance is determined by the interplay of electrical and optical design parameters. (b) Characteristics of a nanolaser exploiting cQED effects. The transition to lasing is quantified by the 2nd order correlation function g(2)(0).

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