Time-dependent quantum graph
D. U. Matrasulov, J. R. Yusupov, K. K. Sabirov, Z. A. Sobirov
TL;DR
This paper investigates quantum star graphs with time-varying bond lengths, analyzing quantum dynamics through Schrödinger equation solutions, and explores the evolution of Gaussian wave packets in a harmonically breathing star graph.
Contribution
It introduces a method to analyze quantum dynamics on graphs with time-dependent boundary conditions and studies the evolution of wave packets in such systems.
Findings
Time-dependent bond lengths affect quantum kinetic energy.
Gaussian wave packets evolve distinctly in breathing star graphs.
The approach provides insights into quantum transport on dynamic graphs.
Abstract
In this paper we study quantum star graphs with time-dependent bond lengths. Quantum dynamics is treated by solving Schrodinger equation with time-dependent boundary conditions given on graphs. Time-dependence of the average kinetic energy is analyzed. Space-time evolution of the Gaussian wave packet is treated for harmonically breathing star graph.
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Taxonomy
TopicsQuantum Information and Cryptography · Cold Atom Physics and Bose-Einstein Condensates · Quantum Mechanics and Applications