https://doi.org/10.1140/epjd/e2013-30418-x
Regular Article
Soliton appearing in boson-fermion mixture at the third order of the interaction radius
1 Department of Theoretical Physics,
Physics Faculty, Moscow State University, Moscow, Russian
Federation
2 Department of General Physics,
Physics Faculty, Moscow State University, Moscow, Russian
Federation
a e-mail: andreevpa@physics.msu.ru
Received:
5
July
2012
Received in final form:
19
November
2012
Published online:
16
July
2013
In this paper we consider an ultra-cold mixture of boson and fermion atoms on the basis of quantum hydrodynamics. Small one-dimensional 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.
Key words: Cold Matter and Quantum Gas
© EDP Sciences, Società Italiana di Fisica and Springer-Verlag 2013