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Effective interactions, Fermi-Bose duality, and ground states of ultracold atomic vapors in tight de Broglie waveguides
M. D. Girardeau, Hieu Nguyen, M. Olshanii
Derivation of effective zero-range one-dimensional (1D) interactions between atoms in tight waveguides is reviewed, as is the Fermi-Bose mapping method for determination of exact a…
Theory of spinor Fermi and Bose gases in tight atom waveguides
M. D. Girardeau, M. Olshanii
Divergence-free pseudopotentials for spatially even and odd-wave interactions in spinor Fermi gases in tight atom waveguides are derived. The Fermi-Bose mapping method is used to r…
Fermi-Bose mapping and N-particle ground state of spin-polarized fermions in tight atom waveguides
M. D. Girardeau, M. Olshanii
A K-matrix for waveguide confined spin-polarized fermionic atoms recently computed by Granger and Blume is identified, in the low-energy domain, with a contact condition for one-di…
No-soliton--soliton phase transition in a trapped one-dimensional Bose gas
Vanja Dunjko, Christopher P. Herzog, Yvan Castin +1
Following the experimental observation of bright matter-wave solitons [L. Khaykovich et al., Science v. 296, 1290 (2002); K. E. Strecker et al., Nature (London) v. 417, 150 (2002)]…