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Self-bound many-body states of quasi-one-dimensional dipolar Fermi gases: Exploiting Bose-Fermi mappings for generalized contact interactions

Deuretzbacher, F. ; Bruun, G. M. ; Pethick, C. J. ; Jona-Lasinio, M. ; Reimann, Stephanie LU and Santos, L. (2013) In Physical Review A (Atomic, Molecular and Optical Physics) 88(3).
Abstract
Using a combination of results from exact mappings and from mean-field theory we explore the phase diagram of quasi-one-dimensional systems of identical fermions with attractive dipolar interactions. We demonstrate that at low density these systems provide a realization of a single-component one-dimensional Fermi gas with a generalized contact interaction. Using an exact duality between one-dimensional Fermi and Bose gases, we show that when the dipole moment is strong enough, bound many-body states exist, and we calculate the critical coupling strength for the emergence of these states. At higher densities, the Hartree-Fock approximation is accurate, and by combining the two approaches we determine the structure of the phase diagram. The... (More)
Using a combination of results from exact mappings and from mean-field theory we explore the phase diagram of quasi-one-dimensional systems of identical fermions with attractive dipolar interactions. We demonstrate that at low density these systems provide a realization of a single-component one-dimensional Fermi gas with a generalized contact interaction. Using an exact duality between one-dimensional Fermi and Bose gases, we show that when the dipole moment is strong enough, bound many-body states exist, and we calculate the critical coupling strength for the emergence of these states. At higher densities, the Hartree-Fock approximation is accurate, and by combining the two approaches we determine the structure of the phase diagram. The many-body bound states should be accessible in future experiments with ultracold polar molecules. (Less)
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type
Contribution to journal
publication status
published
subject
in
Physical Review A (Atomic, Molecular and Optical Physics)
volume
88
issue
3
article number
033611
publisher
American Physical Society
external identifiers
  • wos:000324139900004
  • scopus:84884855930
ISSN
1050-2947
DOI
10.1103/PhysRevA.88.033611
language
English
LU publication?
yes
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The information about affiliations in this record was updated in December 2015. The record was previously connected to the following departments: Mathematical Physics (Faculty of Technology) (011040002)
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e01698c6-fa3d-452c-b97d-79689fa652d9 (old id 4106539)
date added to LUP
2016-04-01 10:10:27
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2020-01-05 05:01:58
@article{e01698c6-fa3d-452c-b97d-79689fa652d9,
  abstract     = {Using a combination of results from exact mappings and from mean-field theory we explore the phase diagram of quasi-one-dimensional systems of identical fermions with attractive dipolar interactions. We demonstrate that at low density these systems provide a realization of a single-component one-dimensional Fermi gas with a generalized contact interaction. Using an exact duality between one-dimensional Fermi and Bose gases, we show that when the dipole moment is strong enough, bound many-body states exist, and we calculate the critical coupling strength for the emergence of these states. At higher densities, the Hartree-Fock approximation is accurate, and by combining the two approaches we determine the structure of the phase diagram. The many-body bound states should be accessible in future experiments with ultracold polar molecules.},
  author       = {Deuretzbacher, F. and Bruun, G. M. and Pethick, C. J. and Jona-Lasinio, M. and Reimann, Stephanie and Santos, L.},
  issn         = {1050-2947},
  language     = {eng},
  number       = {3},
  publisher    = {American Physical Society},
  series       = {Physical Review A (Atomic, Molecular and Optical Physics)},
  title        = {Self-bound many-body states of quasi-one-dimensional dipolar Fermi gases: Exploiting Bose-Fermi mappings for generalized contact interactions},
  url          = {http://dx.doi.org/10.1103/PhysRevA.88.033611},
  doi          = {10.1103/PhysRevA.88.033611},
  volume       = {88},
  year         = {2013},
}