One-dimensional model of chiral fermions with Feshbach resonant interactions

@article{Prem2017OnedimensionalMO,
  title={One-dimensional model of chiral fermions with Feshbach resonant interactions},
  author={Abhinav Prem and Victor Gurarie},
  journal={arXiv: Quantum Gases},
  year={2017},
  pages={023111}
}
We study a model of two species of one-dimensional linearly dispersing fermions interacting via an s-wave 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… 
3 Citations

Figures from this paper

One-dimensional two-component fermions with contact even-wave repulsion and SU(2)-symmetry-breaking near-resonant odd-wave attraction
We consider a one-dimensional (1D) two-component atomic Fermi gas with contact interaction in the even-wave channel (Yang-Gaudin model) and study the effect of an SU(2) symmetry breaking
Bethe-ansatz analysis of near-resonant two-component systems in one dimension
We introduce a new type of models for two-component systems in one dimension subject to exact solutions by Bethe ansatz, where the interspecies interactions are tunable via Feshbach resonant
Ground-state properties of dilute spinless fermions in fractional dimensions
We analyze zero-temperature universal properties of the simplest Galilean-invariant model of spinless low-dimensional fermions with short-range two-body interactions. In particular, it is shown that

References

SHOWING 1-10 OF 104 REFERENCES
One-dimensional gas of bosons with Feshbach-resonant interactions (20 pages)
We present a study of a gas of bosons confined in one dimension with Feshbach-resonant interactions, at zero temperature. Unlike the gas of one-dimensional bosons with non resonant interactions,
p-Wave interactions in low-dimensional fermionic gases.
TLDR
A spin-polarized degenerate Fermi gas interacting via a p-wave Feshbach resonance in an optical lattice is studied to realize one- and two-dimensional gases and, therefore, to restrict the asymptotic scattering states of atomic collisions.
Resonantly-paired fermionic superfluids
Abstract We present a theory of a degenerate atomic Fermi gas, interacting through a narrow Feshbach resonance, whose position and therefore strength can be tuned experimentally, as demonstrated
Exactly solvable model of the BCS-BEC crossover.
TLDR
An integrable model of interacting fermions in one dimension that allows a complete description of the crossover from a BCS- to a Bose-like superfluid is discussed and an experimental realization with cold atoms of such a one-dimensional B CS-BEC crossover is proposed.
Phase transitions in the boson-fermion resonance model in one dimension
We study one-dimensional fermions with photoassociation or with a narrow Fano-Feshbach resonance described by the boson-fermion resonance model. Using the bosonization technique, we derive a
Boson-fermion resonance model in one dimension
We discuss the BCS-BEC crossover for one-dimensional spin 1/2 fermions at zero temperature using the Boson-Fermion resonance model in one dimension. We show that in the limit of a broad resonance,
Fermi-Bose mapping for one-dimensional Bose gases
One-dimensional Bose gases are considered, interacting either through the hard-core potentials or through the contact delta potentials. Interest in these gases gained momentum because of the recent
Quantum decoupling transition in a one-dimensional Feshbach-resonant superfluid.
TLDR
A one-dimensional gas of fermionic atoms interacting via an s-wave molecular Feshbach resonance exhibits a quantum phase transition from a phase in which the two superfluids are locked together to one in which, at low energies, quantum fluctuations suppress the Fesh Bach resonance (Josephson) coupling, effectively decoupling the molecular and atomic superfluids.
Exactly solvable case of a one-dimensional Bose–Fermi mixture
We consider a one-dimensional interacting Bose-Fermi mixture with equal masses of bosons and fermions, and with equal and repulsive interactions between Bose-Fermi and Bose-Bose particles. Such a
Applications of exact solution for strongly interacting one-dimensional Bose-Fermi mixture : Low-temperature correlation functions, density profiles, and collective modes
Abstract We consider one-dimensional interacting Bose–Fermi mixture with equal masses of bosons and fermions, and with equal and repulsive interactions between Bose–Fermi and Bose–Bose particles.
...
1
2
3
4
5
...