Bipolaron in One-Dimensional Fermions with Three-Body Interaction

The properties of the one-dimensional $SU(3)$ population-imbalanced fermions are discussed. The system is assumed to be in the two-body resonance where all two-body scattering lengths diverge, and the only interaction between fermions that is taken into account is the short-range three-body one. In particular, we consider the situation when only one `flavor' of fermions is macroscopically occupied, and there are exactly two atoms of two others. This system supports the trimer and the medium-induced dimer states studied here in detail and shows evidence of color superfluidity.The properties of the one-dimensional $SU(3)$ population-imbalanced fermions are discussed. The system is assumed to be in the two-body resonance where all two-body scattering lengths diverge, and the only interaction between fermions that is taken into account is the short-range three-body one. In particular, we consider the situation when only one `flavor' of fermions is macroscopically occupied, and there are exactly two atoms of two others. This system supports the trimer and the medium-induced dimer states studied here in detail and shows evidence of color superfluidity.

arXiv:2402.06949Feb 10, 20240 citations

Strongly interacting fermions in 1D

Yang Li, Liming Guan, Han Pu

Bulletin of the American Physical SocietyMar 4, 20150 citations

Two- and three-body bound states in one-dimensional Fermi bipolaron with three-body interaction

Orest Hryhorchak, V. G. Pastukhov

We discuss the ground-state properties of two bosonic (or spin-1/2 fermionic in a singlet spin state) impurities immersed in a one-dimensional ideal Fermi gas with only the three-body contact interaction accounted for. Despite its simplicity, the considered model is found to demonstrate a variety of medium-induced few-body bound states. Particularly, using variational calculations with trial wave functions that correctly take into account one particle-hole excitation, we predict the emergence of a dimer state and several trimer states over a wide range of the three-body coupling parameter.We discuss the ground-state properties of two bosonic (or spin-1/2 fermionic in a singlet spin state) impurities immersed in a one-dimensional ideal Fermi gas with only the three-body contact interaction accounted for. Despite its simplicity, the considered model is found to demonstrate a variety of medium-induced few-body bound states. Particularly, using variational calculations with trial wave functions that correctly take into account one particle-hole excitation, we predict the emergence of a dimer state and several trimer states over a wide range of the three-body coupling parameter.

arXiv:2607.20075Jul 22, 20260 citations

Interacting Fermions in 2 Dimensions

Vincent Rivasseau

Lecture notes in physicsJan 1, 20060 citations

Bipolaron in one-dimensional

SU(3)

fermions with three-body interaction

The properties of the one-dimensional

SU(3)

population-imbalanced fermions are discussed. The system is assumed to be in the two-body resonance where all two-body scattering lengths diverge, and the only interaction between fermions that is taken into account is the short-range three-body one. In particular, we consider the situation when only one `flavor' of fermions is macroscopically occupied, and there are exactly two atoms of two others. This system supports the trimer and the medium-induced dimer states studied here in detail and shows evidence of color superfluidity.