A Bernasconi model for constructing ground-state spin systems and optimal binary sequences

18th International Youth Scientific School "Coherent Optics and Optical Spectroscopy"

Leukhin, A.N.^1 ; Potekhin, E.N.^2

Mari State University, 1, sq. Lenin, Mari El Rep, Yoshkar-Ola

424000, Russia^1

Volga State University of Technology, 3, sq. Lenin, Mari El Rep, Yoshkar-Ola

424000, Russia^2

关键词: Aperiodic autocorrelations;    Bernasconi models;    Ground-state spins;    Minimax criterion;    Minimum energy;    One-dimensional chains;    Quantum particles;    Quantum system;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/613/1/012006/pdf
DOI  :  10.1088/1742-6596/613/1/012006

来源: IOP

【 摘 要 】

A Bernasconi model for a one-dimensional chain of quantum particles is considered. It is shown that searching for the ground state of such a quantum system is equivalent to searching for optimal binary sequences with minimum energy levels. The second criteria for the optimality of binary sequences with low levels of aperiodic autocorrelation is the minimax criterion, in which the peak level of side lobe (PSL) must be minimal. A review and new results regarding the construction of such binary sequences up to length N=82 are presented.