Toward the complete description of stationary states of a Bose–Einstein condensate in a one-dimensional quasiperiodic lattice: A coding approach

Chaos An Interdisciplinary Journal of Nonlinear Science 2026 Open access

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Authors: Georgy Leonidovich Alfimov, A. P. Fedotov, Ya. A. Murenkov, Dmitry A. Zezyulin
DOI: 10.1063/5.0310832
Cited by: 0
References: 59

Abstract

We consider stationary states of an effectively one-dimensional Bose-Einstein condensate in a quasiperiodic lattice. We formulate sufficient conditions for a one-to-one correspondence between the stationary states with a fixed chemical potential and the set of bi-infinite sequences over a finite alphabet. These conditions can be checked numerically. A bi-infinite sequence can be interpreted as a code of the corresponding solution. A numerical example demonstrates the coding approach using an alphabet of three symbols.

Fields of Study & Subjects

Quasicrystal Structures and Properties Mathematical Dynamics and Fractals Advanced Mathematical Physics Problems

Publication details

Journal / source
Chaos An Interdisciplinary Journal of Nonlinear Science
Volume
36
Issue
2
Publication date
1 February 2026
Language
EN