Fractionalization in Three-Components Fermionic Atomic Gases in a One-Dimensional Optical Lattice

2010/11/12 by P. Azaria, Patrick Azaria, Azaria, Patrick
Chemistry · Physics and Astronomy · #Advanced Frequency and Time Standards #Cold Atom Physics and Bose-Einstein Condensates #Spectroscopy and Laser Applications #cond-mat.str-el #quant-ph

paper · pdf · doi:10.48550/arxiv.1011.2944

4 pages, 2 figures

arxiv created 2010/11/12 · arxiv updated 2010/11/15

Abstract

We study a three-components fermionic gas loaded in a one-dimensional optical trap at half-filling. We find that the system is fully gapped and may order into 8 possible phases: four 2k_F atomic density wave and spin-Peierls phases with all possible relative π phases shifts between the three species. We find that trionic excitations are unstable toward the decay into pairs of kinks carrying a \it fractional number, Q=3/2, of atoms. These sesquions eventually condense upon small doping and are described by a Luttinger liquid. We finally discuss the phase diagram of a three component mixture made of three hyperfine level of ⁶Li as a function of magnetic field.

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