Inspired by the narrow Feshbach resonance in systems with the two-body interaction, we propose a two-channel model of three-component fermions with a three-body interaction that takes into account finite-range effects in low dimensions. Within this model, the p -wave Efimov-like effect in the four-body sector is predicted in fractional dimensions between d=1 and d=2 . The impact of the finite-range interaction on the formation of the four-body bound states in d=1 is also discussed in detail. Published by the American Physical Society 2024Inspired by the narrow Feshbach resonance in systems with the two-body interaction, we propose a two-channel model of three-component fermions with a three-body interaction that takes into account finite-range effects in low dimensions. Within this model, the p -wave Efimov-like effect in the four-body sector is predicted in fractional dimensions between d=1 and d=2 . The impact of the finite-range interaction on the formation of the four-body bound states in d=1 is also discussed in detail. Published by the American Physical Society 2024

Physical Review AApr 24, 20242 citations

Universal $p$ -wave tetramers in low-dimensional fermionic systems with three-body interactionUniversal $p$-wave tetramers in low-dimensional fermionic systems with three-body interaction

V. Polkanov, V. Pastukhov

Inspired by the narrow Feshbach resonance in systems with the two-body interaction, we propose the two-channel model of three-component fermions with the three-body interaction that takes into account the finite-range effects in low dimensions. Within this model, the $p$ -wave Efimov-like effect in the four-body sector is predicted in fractional dimensions above 1D. The impact of the finite-range interaction on the formation of the four-body bound states in $d=1$ is also discussed in detail.Inspired by the narrow Feshbach resonance in systems with the two-body interaction, we propose the two-channel model of three-component fermions with the three-body interaction that takes into account the finite-range effects in low dimensions. Within this model, the $p$-wave Efimov-like effect in the four-body sector is predicted in fractional dimensions above 1D. The impact of the finite-range interaction on the formation of the four-body bound states in $d=1$ is also discussed in detail.

arXiv:2401.11574Jan 21, 20240 citations

Collapse of 2D Bose gases with two- and three-body interactions

Deke Li, Dun Zhao

Applied Mathematics LettersAug 4, 20260 citations

Three-body forces and Efimov physics in nuclei and atoms

Yusuke Nishida, 仁子関口, K. Sekiguchi +2 more

Jan 1, 20250 citations

Impurity in a Bose-Einstein Condensate and the Efimov Effect

Jesper Levinsen, Meera M. Parish, Georg M. Bruun

We investigate the zero-temperature properties of an impurity particle interacting with a Bose-Einstein condensate (BEC), using a variational wave function that includes up to two Bogoliubov excitations of the BEC. This allows one to capture three-body Efimov physics, as well as to recover the first nontrivial terms in the weak-coupling expansion. We show that the energy and quasiparticle residue of the dressed impurity (polaron) are significantly lowered by three-body correlations, even for weak interactions where there is no Efimov trimer state in a vacuum. For increasing attraction between the impurity and the BEC, we observe a smooth crossover from atom to Efimov trimer, with a superposition of states near the Efimov resonance. We furthermore demonstrate that three-body loss does not prohibit the experimental observation of these effects. Our results thus suggest a route to realizing Efimov physics in a stable quantum many-body system for the first time.We investigate the zero-temperature properties of an impurity particle interacting with a Bose-Einstein condensate (BEC), using a variational wave function that includes up to two Bogoliubov excitations of the BEC. This allows one to capture three-body Efimov physics, as well as to recover the first nontrivial terms in the weak-coupling expansion. We show that the energy and quasiparticle residue of the dressed impurity (polaron) are significantly lowered by three-body correlations, even for weak interactions where there is no Efimov trimer state in a vacuum. For increasing attraction between the impurity and the BEC, we observe a smooth crossover from atom to Efimov trimer, with a superposition of states near the Efimov resonance. We furthermore demonstrate that three-body loss does not prohibit the experimental observation of these effects. Our results thus suggest a route to realizing Efimov physics in a stable quantum many-body system for the first time.

arXiv:1505.04530Physical Review LettersSep 18, 2015192 citations

Universal

p

-wave tetramers in low-dimensional fermionic systems with three-body interaction

p

-wave Efimov-like effect in the four-body sector is predicted in fractional dimensions above 1D. The impact of the finite-range interaction on the formation of the four-body bound states in

d=1

is also discussed in detail.