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Quantum Simulation
Fractionalization in Three-Components Fermionic Atomic Gases in a One-Dimensional Optical Lattice
arXiv
Authors: Patrick Azaria
Year
2010
Paper ID
10451
Status
Preprint
Abstract Read
~2 min
Abstract Words
107
Citations
N/A
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 2kF 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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- We study a three-components fermionic gas loaded in a one-dimensional optical trap at half-filling.
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