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

  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},
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… 

Strongly correlated one-dimensional Bose–Fermi quantum mixtures: symmetry and correlations

We consider multi-component quantum mixtures (bosonic, fermionic, or mixed) with strongly repulsive contact interactions in a one-dimensional harmonic trap. In the limit of infinitely strong

Symmetries and Correlations in Strongly Interacting One-dimensional Quantum Gases

The main focus of this thesis is the theoretical study of strongly interacting quantum mixtures confined in one dimension and subjected to a harmonic external potential. Such strongly correlated

Analytical and numerical studies of Bose–Fermi mixtures in a one-dimensional harmonic trap

In this paper we study a mixed system of bosons and fermions with up to six particles in total. All particles are assumed to have the same mass. The two-body interactions are repulsive and are

Strongly interacting trapped one-dimensional quantum gases: Exact solution

Understanding the effect of correlations in interacting many-body systems is one of the main challenges in quantum mechanics. While the general problem can only be addressed by approximate methods

Comparing numerical and analytical approaches to strongly interacting two-component mixtures in one dimensional traps

Abstract We investigate one-dimensional harmonically trapped two-component systems for repulsive interaction strengths ranging from the non-interacting to the strongly interacting regime for

A study on quantum gases: bosons in optical lattices and the one-dimensional interacting Bose gas

Bosonic atoms confined in optical lattices are described by the Bose-Hubbard model and can exist in two different phases, Mott insulator or superfluid, depending on the strength of the system

Persistent currents in a strongly interacting multicomponent Bose gas on a ring

. We consider a two-component Bose-Bose mixture at strong repulsive interactions in a tightly confining, one-dimensional ring trap and subjected to an artificial gauge field. By employing the Bethe

Universal Tan relations for quantum gases in one dimension

We investigate universal properties of one-dimensional multi-component systems comprised of fermions, bosons, or an arbitrary mixture, with contact interactions and subjected to an external

Finite-temperature contact for a SU(2) Fermi gas trapped in a one-dimensional harmonic confinement

We calculate the finite-temperature Tan's contact for N SU(2) fermions, characterized by repulsive contact interaction, trapped in a 1D harmonic confinement within a local density approximation on

Exact solution for SU(2)-symmetry-breaking bosonic mixtures at strong interactions

We study the equilibrium properties of a one-dimensional mixture of two Tonks-Girardeau gases on a ring geometry in the limit of strongly-repulsive inter-species interactions. We derive the exact



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

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

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

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.

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

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

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.

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

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.

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.

Tan relations in one dimension