Quantum Bose liquids with logarithmic nonlinearity: Self-sustainability and emergence of spatial extent

Simple item page
dc.contributor.authorAvdeenkov A.V.
dc.contributor.authorZloshchastiev K.G.
dc.date.accessioned2011-10-13T16:59:19Z
dc.date.available2011-10-13T16:59:19Z
dc.date.issued2011
dc.description.abstractThe Gross-Pitaevskii (GP) equation is a long-wavelength approach widely used to describe the dilute Bose-Einstein condensates (BEC). However, in many physical situations, such as higher densities, it is unlikely that this approximation suffices; hence, one might need models which would account for long-range correlations and multi-body interactions. We show that the Bose liquid described by the logarithmic wave equation has a number of drastic differences from the GP one. It possesses the self-sustainability property: while the free GP condensate tends to spill all over the available volume, the logarithmic one tends to form a Gaussian-type droplet - even in the absence of an external trapping potential. The quasi-particle modes of the logarithmic BEC are shown to acquire a finite size despite the bare particles being assumed to be point-like, i.e. the spatial extent emerges here as a result of quantum many-body correlations. Finally, we study the elementary excitations and demonstrate that the background density changes the topological structure of their momentum space which, in turn, affects their dispersion relations. Depending on the density, the latter can be of the massive relativistic, massless relativistic, tachyonic and quaternionic type. © 2011 IOP Publishing Ltd.
dc.description.versionArticle
dc.identifier.citationJournal of Physics B: Atomic, Molecular and Optical Physics
dc.identifier.citation44
dc.identifier.citation19
dc.identifier.citationhttp://www.scopus.com/inward/record.url?eid=2-s2.0-80053165702&partnerID=40&md5=d107eff59806649de8692bca3c9a1fd5
dc.identifier.issn9534075
dc.identifier.other10.1088/0953-4075/44/19/195303
dc.identifier.urihttp://hdl.handle.net/10019.1/17066
dc.titleQuantum Bose liquids with logarithmic nonlinearity: Self-sustainability and emergence of spatial extent
dc.typeArticle
Files
Collections
Stellenbosch University - Scopus Publications