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Phys. Rev. A 77, 043612 (2008) [5 pages]

Bright and dark solitary waves in a one-dimensional spin-polarized gas of fermionic atoms with p-wave interactions in a hard-wall trap

M. D. Girardeau1 and E. M. Wright1,2
1College of Optical Sciences, University of Arizona, Tucson, Arizona 85721, USA
2Department of Physics, University of Arizona, Tucson, Arizona 85721, USA

Received 4 December 2007; revised 19 March 2008; published 9 April 2008

We elucidate the physics underlying the fact that both bright and dark solitary waves can arise in a one-dimensional spin-polarized gas of fermionic atoms with attractive three-dimensional p-wave interactions in a hard-wall trap. This is possible since the one-dimensional fermion system can be mapped to a system of bosons described by the Lieb-Linger model with either repulsive or attractive delta-function interactions which can support solitary waves.

©2008 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevA.77.043612
DOI: 10.1103/PhysRevA.77.043612
PACS: 03.75.-b; 05.30.Fk
  • 03.75.-b
    Matter waves
  • 05.30.Fk
    Fermion systems and electron gas (quantum statistical mechanics)
  • YEAR: 2008
KEYWORDS: boson systems, fermion systems, solitons, spin polarised transport

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