Ground-state level spin systems within Bernasconi model

被引：0

作者：

Leukhin, A. N. ^{[1
]}

Bezrodnyi, V. I. ^{[1
]}

Voronin, A. A. ^{[1
]}

Kokovikhina, N. A. ^{[1
]}

机构：

[1] Mari State Univ, 1 Lenin Sq, Yoshkar Ola 424000, Russia

来源：

XI INTERNATIONAL SYMPOSIUM ON PHOTON ECHO AND COHERENT SPECTROSCOPY (PECS-2017) | 2017年 / 161卷

关键词：

D O I：

10.1051/epjconf/201716102013

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

The design problem for law autocorrelation binary sequences (LABS) is a notoriously difficult computational problem which is numbered as the problem number 005 in CSPLib. In statistical physics LABS problem can be interpreted as the energy of N interacting Ising spins. This is a Bernasconi model for a one N-dimensional chain of quantum particles. Ground-state level quantum system within the frame of Bernasconi model is binary sequence with lowest level of peak-sidelobes of aperiodic autocorrelation function. The new results of an exhaustive search for optimal binary sequences with minimum peak sidelobe up to length N=86 are demonstrated. The Bernasconi model exhibits features of a glass transition like a jump in the specific heat and slow dynamics and aging. The Bernasconi model the high temperature phase of Ising spin system reproduces exactly approximation.

引用

页数：2