# Exact density profiles and symmetry classification for strongly interacting multi-component Fermi gases in tight waveguides

@article{Decamp2016ExactDP, title={Exact density profiles and symmetry classification for strongly interacting multi-component Fermi gases in tight waveguides}, author={Jean Decamp and Pacome Armagnat and Bess Fang and M. Albert and Anna Minguzzi and Patrizia Vignolo}, journal={New Journal of Physics}, year={2016}, volume={18} }

We consider a mixture of one-dimensional strongly interacting Fermi gases with up to six components, subjected to a longitudinal harmonic confinement. In the limit of infinitely strong repulsions we provide an exact solution which generalizes the one for the two-component mixture. We show that an imbalanced mixture under harmonic confinement displays partial spatial separation among the components, with a structure which depends on the relative population of the various components. Furthermore…

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## References

SHOWING 1-10 OF 62 REFERENCES

### Exact solution for infinitely strongly interacting Fermi gases in tight waveguides.

- PhysicsPhysical review letters
- 2009

It is shown that the total ground-state density profile behaves like the polarized noninteracting fermions, whereas the spin-dependent densities display different properties for different spin configurations.

### Strong-coupling ansatz for the one-dimensional Fermi gas in a harmonic potential

- PhysicsScience Advances
- 2015

This work proposes a powerful ansatz for the one-dimensional Fermi gas in a harmonic potential near the limit of infinite short-range repulsion, and shows that the classical Pascal’s triangle emerges in the expression for the ground-state wave function.

### Exact solution for the degenerate ground-state manifold of a strongly interacting one-dimensional Bose-Fermi mixture

- Physics
- 2011

We present the exact solution for the many-body wavefunction of a one-dimensional mixture of bosons and spin-polarized fermions with equal masses and infinitely strong repulsive interactions under…

### Soluble models of strongly interacting ultracold gas mixtures in tight waveguides.

- PhysicsPhysical review letters
- 2007

A Fermi-Bose mapping method is used to determine the exact ground states of several models of mixtures of strongly interacting ultracold gases in tight waveguides, which are generalizations of the…

### Comparing models for the ground state energy of a trapped one-dimensional Fermi gas with a single impurity

- Physics
- 2016

We discuss the local density approximation approach to calculating the ground state energy of a one-dimensional Fermi gas containing a single impurity, and compare the results with exact numerical…

### Fermionization of two-component few-fermion systems in a one-dimensional harmonic trap

- Physics
- 2014

The nature of strongly interacting Fermi gases and magnetism is one of the most important and studied topics in condensed-matter physics. Still, there are many open questions. A central issue is…

### Correlations of the upper branch of 1D harmonically trapped two-component fermi gases.

- PhysicsPhysical review letters
- 2013

We present highly accurate energy spectra and eigenfunctions of small 1D harmonically trapped two-component Fermi gases with interspecies δ-function interactions, and analyze the correlations of the…

### Spectroscopy for a Few Atoms Harmonically-Trapped in One Dimension

- Physics
- 2014

Spectroscopic labels for a few particles with spin that are harmonically trapped in one-dimension with effectively zero-range interactions are provided by quantum numbers that characterize the…

### Exact solution of strongly interacting quasi-one-dimensional spinor Bose gases.

- PhysicsPhysical review letters
- 2008

An exact analytical solution of the fundamental system of quasi-one-dimensional spin-1 bosons with infinite delta repulsion is presented and it is found that the momentum distribution of the eigenstates depends on the symmetry of the spin function.