A novel hybrid simulation based on the coupled Maxwell-Schrödinger equations has been utilized to investigate, accurately, the dynamics of electron confined in a one-dimensional potential and subjected to time-dependent electromagnetic fields. A detailed comparison has been made for the computational results between the Maxwell-Schrödinger and conventional Maxwell-Newton approaches, for two distinct cases, namely, characterized by harmonic and anharmonic electrostatic confining potentials. The results obtained by the two approaches agree very well for the harmonic potential while disagree quantitatively for the anharmonic potential. This clearly indicates that the Maxwell-Schrödinger scheme is indispensable to multi-physics simulation particularly when the anharmonicity effect plays an essential role.
1. Ota, T., Y. Ashizawa, K. Nakagawa, S. Ohnuki, H. Iwamatsu, A. Tsukamoto, and A. Itoh, "Dependence of circularly polarized light excited by plasmon aperture on relative position to magnetic particles for all-optical magnetic recording," Journal of the Magnetics Society of Japan, Vol. 36, No. 1-2, 66-69, Feb. 2012. doi:10.3379/msjmag.1108M001
2. Sugawara, M., N. Hatori, M. Ishida, H. Ebe, Y. Arakawa, T. Akiyama, K. Otsubo, T. Yamamoto, and Y. Nakata, "Recent progress in self-assembled quantum-dot optical devices for optical telecommunication: Temperature-insensitive 10 Gbs-1 directly modulated lasers and 40 Gbs-1 signal-regenerative amplifiers," Journal of Physics D: Applied Physics, Vol. 38, No. 13, 2126-2134, Jun. 2005. doi:10.1088/0022-3727/38/13/008
3. Aoki, K., D. Guimard, M. Nishioka, M. Nomura, S. Iwamoto, and Y. Arakawa, "Coupling of quantum-dot light emission with a three-dimensional photoniccrystal nanocavity," Nature Photonics, Vol. 2, No. 13, 688-692, Oct. 2008.
4. Pierantoni, L., D. Mencarelli, and T. Rozzi, "A new 3-D transmission line matrix scheme for the combined Schrödinger-Maxwell problem in the electronic/electromagnetic characterization of nanodevices," IEEE Transactions on Microwave Theory and Techniques, Vol. 56, No. 3, 654-662, Mar. 2008. doi:10.1109/TMTT.2008.916883
5. Ohnuki, S., T. Takeuchi, T. Sako, Y. Ashizawa, K. Nakagawa, and M. Tanaka, "Coupled analysis of Maxwell-Schrödinger equations by using the length gauge: Harmonic model of a nanoplate subjected to a 2D electromagnetic field," International Journal of Numerical Modelling: Electronic Networks, Devices and Fields, Vol. 26, 533-544, Feb. 2013. doi:10.1002/jnm.1896
6. Takeuchi, T., S. Ohnuki, and T. Sako, "Comparison between Maxwell-Schrödinger and Maxwell- Newton hybrid simulations for multi-well electrostatic potential," IEEE Journal of Quantum Electronics, Vol. 50, No. 5, 334-339, May 2014. doi:10.1109/JQE.2014.2310196
7. Lorin, E., S. Chelkowski, and A. D. Bandrauk, "A numerical Maxwell-Schrödinger model for intense laser-matter interaction and propagation," Computer Physics Communications, Vol. 177, No. 12, 908-932, Jul. 2007. doi:10.1016/j.cpc.2007.07.005
8. Lorin, E., S. Chelkowski, and A. D. Bandrauk, "Attosecond pulse generation from aligned molecules-dynamics and propagation in H+2," New Journal of Physics, Vol. 10, No. 2, Feb. 2008. doi:10.1088/1367-2630/10/2/025033
9. Yamaguchi, T. and T. Hinata, "Optical near-field analysis of spherical metals: Application of the FDTD method combined with the ADE method," Optics Express, Vol. 15, No. 18, 11481-11491, Sep. 2007. doi:10.1364/OE.15.011481
10. Taflove, A. and S. C. Hagness, Computational Electrodynamics: The Finite-difference Time-domain Method, 3rd edition, Artech House, Boston, London, 2005.
11. Cohen-Tannoudji, C., J. Dupont-Roc, and C. Crynberg, Atom-photon Interactions: Basic Processes and Applications, Wiley-VCH, Weinheim, 2004.
12. Soriano, A., E. A. Navarro, J. A. Porti, and V. Such, "Analysis of the finite difference time domain technique to solve the Schrödinger equation for quantum devices," Journal of Applied Physics, Vol. 95, No. 12, 8011-8018, Jun. 2004. doi:10.1063/1.1753661