Year: 2024
Type: preprint
Abstract: This study combines the quantum Rubik's Cube matrix with the Benalcazar Bernevig Hughes model, defines a matrix algorithm based on the reverse process of convolution, and constructs an expression for the quantum Rubik's Cube matrix and Hamiltonian. Furthermore, in order to make the operation of the quantum Rubik's Cube matrix clearer, we use a Josephus ring to draw a topological graph of the Rubik's Cube expansion. This article uses a quantum Rubik's Cube to calculate energy level transitions of electrons, and shows that its operation corresponds to path integration. The band dispersion is obtained. This work provides new ideas and methods for calculating Hamiltonians and studying energy level structure.
Source: arXiv (Cornell University)
Authors: Wang, Yu, Bo, Maolin
Institution: Yangtze Normal University
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4392490661