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Atomic Scattering in the Presence of an External Confinement and a Gas of Impenetrable Bosons
Open accessAbstract
We calculate, within the pseudopotential approximation, a one-dimensional scattering amplitude and effective one-dimensional interaction potential for atoms confined transversally by an atom waveguide or highly elongated ``cigar''-shaped atomic trap. We show that, in the low-energy scattering regime, the scattering process degenerates to a total reflection, suggesting an experimental realization of a famous model in theoretical physics---a one-dimensional gas of impenetrable bosons (``Tonks'' gas). We give an estimate for suitable experimental parameters for alkali atoms confined in waveguides.
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Citations
Cited by
Many-body physics with ultracold gases
Bloch, I., Dalibard, J., & Zwerger, W. (2008) · Reviews of Modern Physics · doi:10.1103/revmodphys.80.885 · Cited by 8,114
Carusotto, I., & Ciuti, C. (2013) · Reviews of Modern Physics · doi:10.1103/revmodphys.85.299 · Cited by 1,996
Majorana Fermions in Equilibrium and in Driven Cold-Atom Quantum Wires
Jiang, L., Kitagawa, T., Alicea, J., Akhmerov, A. R., Pekker, D., Refael, G., Cirac, J. I., Demler, E., Lukin, M. D., & Zoller, P. (2011) · Physical Review Letters · doi:10.1103/physrevlett.106.220402 · Cited by 753
Microscopic Atom Optics: From Wires to an Atom Chip
Folman, R., Krüger, P., Schmiedmayer, J., Denschlag, J., & Henkel, C. (2002) · Advances In Atomic, Molecular, and Optical Physics · doi:10.1016/s1049-250x(02)80011-8 · Cited by 658
Spin-imbalance in a one-dimensional Fermi gas
Liao, Y.-A., Rittner, A. S. C., Paprotta, T., Li, W., Partridge, G. B., Hulet, R. G., Baur, S. K., & Mueller, E. J. (2010) · Nature · doi:10.1038/nature09393 · Cited by 532
Metadata
- Authors
- Olshanii, M.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1998-08
- Volume
- 81
- Issue
- 5
- Pages
- 938-941
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2014049935
- Cited by
- 1,888
- References
- 0
- FWCI
- 12.76
- Type
- journal article
- Language
- en
- Open access
- green
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- Olshanii, M. (1998). Atomic Scattering in the Presence of an External Confinement and a Gas of Impenetrable Bosons. Physical Review Letters. https://doi.org/10.1103/physrevlett.81.938
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