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Main Authors: Slowinski, Ronnie, Servignat, Gaël, Chevy, Frédéric, Lobo, Carlos
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2605.18405
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author Slowinski, Ronnie
Servignat, Gaël
Chevy, Frédéric
Lobo, Carlos
author_facet Slowinski, Ronnie
Servignat, Gaël
Chevy, Frédéric
Lobo, Carlos
contents We develop an Effective Field Theory (EFT) for a system with three distinguishable atomic species and present a variational calculation of the two and three-body binding energies in vacuum and in the presence of a single Fermi sea. Specifically, we consider the case where the interaction between first two atomic species is externally driven so as to produce a (non-universal) closed-channel dimer whose coupling can be controlled independently of all other interactions. We then model the remaining interactions as a contact interaction between the dimer and a third atomic species which forms the medium. We derive analytical expressions for the dimer and trimer binding energies in vacuum and in medium, and in the latter case we predict a crossing between the dimer and trimer branches as a function of the atom-dimer scattering length, analogous to the usual polaron and molecule problem. Furthermore, we show that the position of this crossing can be controlled by varying the atom-atom coupling that results from the external drive and we discuss the implications of these findings.
format Preprint
id arxiv_https___arxiv_org_abs_2605_18405
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle A study of the dimer-trimer crossover in a driven three-component Fermi gas
Slowinski, Ronnie
Servignat, Gaël
Chevy, Frédéric
Lobo, Carlos
Quantum Gases
We develop an Effective Field Theory (EFT) for a system with three distinguishable atomic species and present a variational calculation of the two and three-body binding energies in vacuum and in the presence of a single Fermi sea. Specifically, we consider the case where the interaction between first two atomic species is externally driven so as to produce a (non-universal) closed-channel dimer whose coupling can be controlled independently of all other interactions. We then model the remaining interactions as a contact interaction between the dimer and a third atomic species which forms the medium. We derive analytical expressions for the dimer and trimer binding energies in vacuum and in medium, and in the latter case we predict a crossing between the dimer and trimer branches as a function of the atom-dimer scattering length, analogous to the usual polaron and molecule problem. Furthermore, we show that the position of this crossing can be controlled by varying the atom-atom coupling that results from the external drive and we discuss the implications of these findings.
title A study of the dimer-trimer crossover in a driven three-component Fermi gas
topic Quantum Gases
url https://arxiv.org/abs/2605.18405