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Phys. Rev. Lett. 97, 100402 (2006) [4 pages]

Anyon-Fermion Mapping and Applications to Ultracold Gases in Tight Waveguides

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M. D. Girardeau
College of Optical Sciences, University of Arizona, Tucson, Arizona 85721, USA

Received 14 April 2006; published 6 September 2006

TheFermi-Bose mapping method for one-dimensional Bose and Fermi gases withzero-range interactions is generalized to an anyon-fermion mapping and appliedto exact solution of several models of ultracold gases withanyonic exchange symmetry in tight waveguides: anyonic Calogero-Sutherland model, anyonswith point hard-core interaction (anyonic Tonks-Girardeau gas), and spin-aligned anyongas with infinite zero-range odd-wave attractions (attractive anyonic Tonks-Girardeau, orAATG, gas). It is proved that for even N4 thereare states of the AATG gas on a ring, withanyonic phase slips which are odd integral multiples of /(N-1),of energy lower than that of the corresponding fermionic groundstate. A generalization to a spinor Fermi gas state withanyonic symmetry under purely spatial exchange enables energy lowering bythe same mechanism.

©2006 The American Physical Society

URL:	http://link.aps.org/doi/10.1103/PhysRevLett.97.100402
DOI:	10.1103/PhysRevLett.97.100402
PACS:	03.75.-b; 05.30.Pr; 03.65.Vf 03.75.-b Matter waves 05.30.Pr Fractional statistics systems including anyons, etc 03.65.Vf Phases: geometric; dynamic or topological (quantum theory) YEAR: 2006

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M. Girardeau, J. Math. Phys. (N.Y.) 1, 516 (1960).
J. L. Roberts et al., Phys. Rev. Lett. 86, 4211 (2001).
M. Olshanii, Phys. Rev. Lett. 81, 938 (1998).
T. Bergeman, M. G. Moore, and M. Olshanii, Phys. Rev. Lett. 91, 163201 (2003).
B. E. Granger and D. Blume, Phys. Rev. Lett. 92, 133202 (2004).
Phys. Rev. Lett. 82, 2536 (1999).
Elliott H. Lieb and Werner Liniger, Phys. Rev. 130, 1605 (1963).
A. M. L. Messiah and O. Greenberg, Phys. Rev. 136, B248 (1964).
M. D. Girardeau, Phys. Rev. 139, B500 (1965).
R. B. Laughlin, Phys. Rev. Lett. 50, 1395 (1983).
B. I. Halperin, Phys. Rev. Lett. 52, 1583 (1984);

52, 2390(E) (1984)

F. E. Camino, Wei Zhou, and V. J. Goldman, Phys. Rev. B 72, 075342 (2005).
R. B. Laughlin, Phys. Rev. Lett. 60, 2677 (1988).
N. K. Wilkin and J. M. F. Gunn, Phys. Rev. Lett. 84, 6 (2000).
N. R. Cooper and N. K. Wilkin, Phys. Rev. B 60, R16279 (1999).
B. Paredes, P. Fedichev, J. I. Cirac, and P. Zoller, Phys. Rev. Lett. 87, 010402 (2001).
Jian-Xin Zhu and Z. D. Wang, Phys. Rev. A 53, 600 (1996).
Sankar Das Sarma, Michael Freedman, and Chetan Nayak, Phys. Rev. Lett. 94, 166802 (2005).
A. Kundu, Phys. Rev. Lett. 83, 1275 (1999).
Bill Sutherland, Phys. Rev. A 4, 2019 (1971).
A. Griesmaier, J. Werner, S. Hensler, J. Stuhler, and T. Pfau, Phys. Rev. Lett. 94, 160401 (2005).
M. D. Girardeau, E. M. Wright, and J. M. Triscari, Phys. Rev. A 63, 033601 (2001).
M. D. Girardeau and A. Minguzzi, Phys. Rev. Lett. 96, 080404 (2006).
M. D. Girardeau and M. Olshanii, Phys. Rev. A 70, 023608 (2004).

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