Publication:
Universal relations for the two-dimensional spin-1/2 Fermi gas with contact interactions

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Date
2011-12-20
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Authors
Valiente Cifuentes, Manuel ; Zinner, Nikolaj Thomas ; Molmer, Klaus
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Publisher
American Physical Society
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DOI
https://doi.org/10.1103/PhysRevA.84.063626
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Description
© 2011 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.84.063626
Abstract
We present universal relations for a two-dimensional Fermi gas with pairwise contact interactions. The derivation of these relations is made possible by obtaining the explicit form of a generalized function—selector—in the momentum representation. The selector implements the short-distance boundary condition between two fermions in a straightforward manner and leads to simple derivations of the universal relations, in the spirit of Tan's original method for the three-dimensional gas.
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Citation
Physical Review A, 2011, Vol. 84 : 063626
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