Mobile impurity interacting with a Hubbard chain and the role of Friedel oscillations

Fuente: arXiv
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Autori principali: Isaule, Felipe, Rojo-Francàs, Abel, Hoang, Duc Tuan, Fogarty, Thomás, Busch, Thomas, Juliá-Díaz, Bruno
Natura: Preprint
Pubblicazione: 2026
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author Isaule, Felipe
Rojo-Francàs, Abel
Hoang, Duc Tuan
Fogarty, Thomás
Busch, Thomas
Juliá-Díaz, Bruno
author_facet Isaule, Felipe
Rojo-Francàs, Abel
Hoang, Duc Tuan
Fogarty, Thomás
Busch, Thomas
Juliá-Díaz, Bruno
contents This work examines a mobile impurity interacting with a bath of a few spin-$\uparrow$ and spin-$\downarrow$ fermions in a small one-dimensional open lattice system. We study ground-state properties using the exact diagonalization method, where the system is modeled by a three-component Fermi Hubbard Hamiltonian. We find that in addition to the standard phase separation between a strongly repulsive impurity and the bath, a strongly-attractive impurity also phase separates with the fermionic holes. Furthermore, we find that the impurity can show an oscillatory pattern in its density for intermediate bath-impurity interactions, which are induced by Friedel oscillations in the fermionic bath. This rich behavior of the impurity could be probed with fermionic ultracold mixtures in optical lattices.
format Preprint
id arxiv_https___arxiv_org_abs_2602_06169
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Mobile impurity interacting with a Hubbard chain and the role of Friedel oscillations
Isaule, Felipe
Rojo-Francàs, Abel
Hoang, Duc Tuan
Fogarty, Thomás
Busch, Thomas
Juliá-Díaz, Bruno
Quantum Gases
This work examines a mobile impurity interacting with a bath of a few spin-$\uparrow$ and spin-$\downarrow$ fermions in a small one-dimensional open lattice system. We study ground-state properties using the exact diagonalization method, where the system is modeled by a three-component Fermi Hubbard Hamiltonian. We find that in addition to the standard phase separation between a strongly repulsive impurity and the bath, a strongly-attractive impurity also phase separates with the fermionic holes. Furthermore, we find that the impurity can show an oscillatory pattern in its density for intermediate bath-impurity interactions, which are induced by Friedel oscillations in the fermionic bath. This rich behavior of the impurity could be probed with fermionic ultracold mixtures in optical lattices.
title Mobile impurity interacting with a Hubbard chain and the role of Friedel oscillations
topic Quantum Gases
url https://arxiv.org/abs/2602.06169