Anyon-Fermion Mapping and Applications to Ultracold Gases in Tight Waveguides
- College of Optical Sciences, University of Arizona, Tucson, Arizona 85721 (United States)
The Fermi-Bose mapping method for one-dimensional Bose and Fermi gases with zero-range interactions is generalized to an anyon-fermion mapping and applied to exact solution of several models of ultracold gases with anyonic exchange symmetry in tight waveguides: anyonic Calogero-Sutherland model, anyons with point hard-core interaction (anyonic Tonks-Girardeau gas), and spin-aligned anyon gas with infinite zero-range odd-wave attractions (attractive anyonic Tonks-Girardeau, or AATG, gas). It is proved that for even N{>=}4 there are states of the AATG gas on A, with anyonic phase slips which are odd integral multiples of {pi}/(N-1), of energy lower than that of the corresponding fermionic ground state. A generalization to a spinor Fermi gas state with anyonic symmetry under purely spatial exchange enables energy lowering by the same mechanism.
- OSTI ID:
- 20860773
- Journal Information:
- Physical Review Letters, Vol. 97, Issue 10; Other Information: DOI: 10.1103/PhysRevLett.97.100402; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0031-9007
- Country of Publication:
- United States
- Language:
- English
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