NANOSYSTEMS: PHYSICS, CHEMISTRY, MATHEMATICS, 2020, 11 (2), P. 145–152
Particle transport in a network of quantum harmonic oscillators
J. R. Yusupov – Turin Polytechnic University in Tashkent, 17 Niyazov Str., 100095, Tashkent, Uzbekistan; email@example.com
Kh. Sh. Matyokubov – Urgench State University, 14 H. Olimjon Str., 220100, Urgench, Uzbekistan
K. K. Sabirov – Tashkent University of Information Technologies, 108 Amir Temur Str., 100200, Tashkent Uzbekistan
In this paper, we address the problem of a particle dynamics in a network of quantum harmonic oscillators by solving the stationary Schrödinger equation on metric graphs in the presence of harmonic oscillator potential with bond-dependent frequency. Particle transport is analyzed by considering wave packet dynamics in such a system modeled in terms of quantum graph.
Keywords: quantum graph, harmonic oscillator, particle transport, wave packet dynamics.
PACS 03.65.Aa, 02.60.Cb, 05.60.Gg