Particle transport in a network of quantum harmonic oscillators
Jambul YusupovTurin Polytechnic University in Tashkent, 17 Niyazov Str., 100095, Tashkent, UzbekistanKh. Sh. MatyokubovUrgench State University, 14 H. Olimjon Str., 220100, Urgench, UzbekistanK.K. SabirovTashkent University of Information Technologies, 108 Amir Temur Str., 100200, Tashkent Uzbekistan
ABI
Abstract
In this paper, we address the problem of a particle dynamics in a network of quantum harmonic oscillators by solving the stationary Schrdinger 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.