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

2026/02/19 by G. L. Alfimov, A. P. Fedotov, Ya. A. Murenkov +1 · 1 voice
Physics and Astronomy · #nlin.PS #cond-mat.quant-gas

paper · pdf · doi:10.1063/5.0310832

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.

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Discussions

• G. L. Alfimov, A. P. Fedotov, Ya. A. Murenkov, D. A. Zezyulin: Towards the complete description of stationary states of a Bose-Einstein condensate in a one-dimensional quasiperiodic lattice: ... https [bsky, 0 points, 0 comments]

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