Universal properties of Fermi gases in arbitrary dimensions

Valiente Cifuentes, Manuel; Zinner, Nikolaj Thomas; Molmer, Klaus

Publication:
Universal properties of Fermi gases in arbitrary dimensions

dc.contributor.author	Valiente Cifuentes, Manuel
dc.contributor.author	Zinner, Nikolaj Thomas
dc.contributor.author	Molmer, Klaus
dc.contributor.department	Física
dc.date.accessioned	2025-01-28T09:13:23Z
dc.date.available	2025-01-28T09:13:23Z
dc.date.issued	2012-10-15
dc.description	© 2012 American Physical Society. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/ This document is the Published Manuscript, version of a Published Work that appeared in final form in Physical Review A . To access the final edited and published work see https://doi.org/10.1103/PhysRevA.86.043616
dc.description.abstract	We consider spin-1/2 Fermi gases in arbitrary, integer, or noninteger spatial dimensions, interacting via a Dirac 𝛿 potential. We first generalize the method of Tan's distributions and implement short-range boundary conditions to arbitrary dimension and we obtain a set of universal relations for the Fermi gas. Three-dimensional scattering under very general conditions of transversal confinement is described by an effectively reduced-dimensional scattering length, which we show depends on the three-dimensional scattering length in a universal way. Our formula for noninteger dimensions interpolates between the known results in integer dimensions 1, 2, and 3. Without any need to solve the associated multichannel scattering problem, we find that confinement-induced resonances occur in all dimensions different from 𝐷=2, while reduced-dimensional contacts, related to the tails of the momentum distributions, are connected to the three-dimensional contact by a correction factor of purely geometric origin.
dc.format	application/pdf	es
dc.identifier.citation	Physical Review A, Vol. 86, 043616 (2012)
dc.identifier.doi	https://doi.org/10.1103/PhysRevA.86.043616
dc.identifier.issn	Print: 2469-9926
dc.identifier.issn	Electronic: 2469-9934
dc.identifier.uri	http://hdl.handle.net/10201/149408
dc.language	eng	es
dc.publisher	American Physical Society
dc.relation	Villum Kann Rassmussen Foundation, Danish Council for Independent Research	es
dc.relation.publisherversion	https://journals.aps.org/pra/abstract/10.1103/PhysRevA.86.043616
dc.rights	info:eu-repo/semantics/openAccess	es
dc.rights	Attribution-NonCommercial-NoDerivatives 4.0 Internacional	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/	*
dc.subject.other	CDU::5 - Ciencias puras y naturales	es
dc.title	Universal properties of Fermi gases in arbitrary dimensions	es
dc.type	info:eu-repo/semantics/article	es
dspace.entity.type	Publication	es