A deterministic Wigner approach for superposed states-Reference-Cited by-同舟云学术

A deterministic Wigner approach for superposed states

Published:2021-10-20 Issue:6 Volume:20 Page:2104-2110
ISSN:1569-8025
Container-title:Journal of Computational Electronics
language:en
Short-container-title:J Comput Electron

Author:

Cervenka Johann^ORCID,Kosik Robert,Nedjalkov Mihail

Abstract

AbstractThe Wigner formalism is a convenient way of describing quantum mechanical effects through a framework of distribution functions in phase space. Currently, there are stochastic and deterministic approaches in use. In our deterministic method, the critical discretization of the diffusion term is done through the utilization of an integral formulation of the Wigner equation. This deterministic method is studied in the context of superposed quantum states as a precursor to simulations of entangled states.

Funder

FWF Austrian Science Fund

TU Wien

Publisher

Springer Science and Business Media LLC

Subject

Electrical and Electronic Engineering,Modeling and Simulation,Atomic and Molecular Physics, and Optics,Electronic, Optical and Magnetic Materials

Link

https://link.springer.com/content/pdf/10.1007/s10825-021-01801-9.pdf

Reference13 articles.

1. Benam, M., Ballicchia, M., Weinbub, J., Selberherr, S., Nedjalkov, M.: A computational approach for investigating coulomb interaction using Wigner–Poisson coupling. J. Comput. Electron. 20(2), 775–784 (2021). https://doi.org/10.1007/s10825-020-01643-x

2. Benam, M., Nedjalkov, M., Selberherr, S.: A Wigner potential decomposition in the signed-particle Monte Carlo approach. In: Nikolov, G., Kolkovska, N.T., Georgiev, K. (eds.) Numerical Methods and Applications, Lecture Notes in Computer Science, Vol. 11189, pp. 263–272. Springer International Publishing (2019). https://doi.org/10.1007/978-3-030-10692-8_29

3. Dimov, I., Nedjalkov, M., Sellier, J.M., Selberherr, S.: Neumann series analysis of the Wigner equation solution. In: Russo, G., Capasso, V., Nicosia, G., Romano, V. (eds.) Progress in Industrial Mathematics at ECMI 2014, Mathematics in Industry, Vol. 22, pp. 701–707. Springer International Publishing (2016). https://doi.org/10.1007/978-3-319-23413-7_97

4. Dimov, I.T.: Monte Carlo Methods for Applied Scientists. World Scientific (2008)

5. Ferry, D.: Phase-space functions: Can they give a different view of quantum mechanics? J. Comput. Electron. 14(4), 864–868 (2015). https://doi.org/10.1007/s10825-015-0731-z

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