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Soliton appearing in boson-fermion mixture at the third order of the interaction radius

2012/05/05 by K. V. Zezyulin, Konstantin V. Zezyulin, Pavel A. Andreev +3 · 6 citations
Physics and Astronomy · #Atomic and Subatomic Physics Research #Boson #Cold Atom Physics and Bose-Einstein Condensates #Fermion #Nonlinear system #Order (exchange) #Physics #Quantum #Quantum electrodynamics #Quantum mechanics #Quantum, superfluid, helium dynamics #RADIUS #Soliton #cond-mat.quant-gas

paper · pdf · doi:10.1140/epjd/e2013-30418-x

published in The European Physical Journal D 67(7) (Springer Science+Business Media) · 8 pages, 8 figures

arxiv created 2012/05/05 · openalex publication_date 2013/07/01 · arxiv updated 2013/08/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

In this paper we consider an ultra-cold mixture of boson and fermion atoms on the basis of quantum hydrodynamics. Small perturbations in such systems are being analyzed. A possibility is shown for soliton solutions of a new type to appear if the third order of the interaction radius is taken into account in the analysis of interactions. A fermion-fermion interaction occurs in explicit form if this approximation is accepted. The conditions that lead to occurrence of this type of soliton in a mixture of boson and fermion atoms were investigated. Restrictions on the fermion-fermion interaction were found that are necessary for this kind of perturbations to appear in the system. Conditions determining whether perturbances would be a condensed soliton or a rarefied soliton are shown. Requirements to the experimental detection of a new soliton type in boson-fermion mixture are considered.

Citations