| Issue |
EPJ Web Conf.
Volume 161, 2017
XI International Symposium on Photon Echo and Coherent Spectroscopy (PECS-2017)
|
|
|---|---|---|
| Article Number | 02013 | |
| Number of page(s) | 2 | |
| Section | Oral talks | |
| DOI | https://doi.org/10.1051/epjconf/201716102013 | |
| Published online | 31 October 2017 | |
https://doi.org/10.1051/epjconf/201716102013
Ground-state level spin systems within Bernasconi model
Mari State University, 1 Lenin sq., Yoshkar-Ola, 424000 Russia
* Corresponding author: leukhinan@list.ru
Published online: 31 October 2017
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.
© The Authors, published by EDP Sciences, 2017
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (http://creativecommons.org/licenses/by/4.0/).
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