Onedimensional model of chiral fermions with Feshbach resonant interactions
Abstract
We study a model of two species of 1D linearly dispersing fermions interacting via an swave Feshbach resonance at zero temperature. While this model is known to be integrable, it possesses novel features that have not previously been investigated. Here, we present an exact solution based on the coordinate Bethe Ansatz. In the limit of infinite resonance strength, which we term the strongly interacting limit, the two species of fermions behave as free Fermi gases. In the limit of infinitely weak resonance, or the weakly interacting limit, the gases can be in different phases depending on the detuning, the relative velocities of the particles, and the particle densities. When the molecule moves faster or slower than both species of atoms, the atomic velocities get renormalized and the atoms may even become nonchiral. On the other hand, when the molecular velocity is between that of the atoms, the system may behave like a weakly interacting LiebLiniger gas.
 Publication:

Journal of Statistical Mechanics: Theory and Experiment
 Pub Date:
 February 2018
 DOI:
 10.1088/17425468/aaa78d
 arXiv:
 arXiv:1707.00105
 Bibcode:
 2018JSMTE..02.3111P
 Keywords:

 Condensed Matter  Quantum Gases;
 Condensed Matter  Statistical Mechanics
 EPrint:
 26 pages