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Parafermionic behavior of Bose-Einstein condensates

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Published: Mar 8, 2019
DOI: https://doi.org/10.12681/hnps.2006
Keywords:
Parafermions Bose-Einstein condensates
A. Martinou
INPP, NCSR "Demokritos"
D. Bonatsos
INPP, NCSR "Demokritos"
Abstract

Bright solitons of 7Li atoms in a quasi one-dimensional optical trap, formed in a stable Bose–Einstein condensate in which the interactions have been magnetically tuned from repulsive to attractive, have been seen to exhibit repulsive interactions among them when set in motion by offsetting the optical potential. Solving first the Gross–Pitaevskii equation for the special conditions corresponding to the experiment, we show then that this system can be described in terms of generalized parafermionic oscillators, the order of the parafermions being related to the strength of the interaction among the atoms and being a measure of the bosonic behavior vs. the fermionic behavior of the system.

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