Bose-Fermi $N$-polaron state emergence from correlation-mediated blocking of phase separation

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Main Authors: Gómez-Lozada, Felipe, Hiyane, Hoshu, Busch, Thomas, Fogarty, Thomás
Format: Preprint
Published: 2024
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author Gómez-Lozada, Felipe
Hiyane, Hoshu
Busch, Thomas
Fogarty, Thomás
author_facet Gómez-Lozada, Felipe
Hiyane, Hoshu
Busch, Thomas
Fogarty, Thomás
contents We study $N$ fermionic impurities in a one-dimensional lattice bosonic bath at unit filling. Using DMRG and mixed boundary conditions-periodic for bosons, open for fermions -- we find an $N$-polaron ground state replacing phase separation at high interspecies repulsion. This tightly bound state of clustered particles emerges due to strong impurity-bath correlations, which induce large impurity-impurity correlations that we quantify via the von Neumann entropy and bipartite mutual information, respectively. This system also reveals a fermionic self-localization effect from a Mott insulator background due to local correlations between the impurities and the bath. The growth of long-range correlations breaks this Mott phase, resulting in the transition to impurity clusters delocalized along the system. Finally, we show that there is a critical impurity number, which depends on intraspecies bosonic interaction, beyond which phase separation is recovered.
format Preprint
id arxiv_https___arxiv_org_abs_2409_13785
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Bose-Fermi $N$-polaron state emergence from correlation-mediated blocking of phase separation
Gómez-Lozada, Felipe
Hiyane, Hoshu
Busch, Thomas
Fogarty, Thomás
Quantum Gases
Quantum Physics
We study $N$ fermionic impurities in a one-dimensional lattice bosonic bath at unit filling. Using DMRG and mixed boundary conditions-periodic for bosons, open for fermions -- we find an $N$-polaron ground state replacing phase separation at high interspecies repulsion. This tightly bound state of clustered particles emerges due to strong impurity-bath correlations, which induce large impurity-impurity correlations that we quantify via the von Neumann entropy and bipartite mutual information, respectively. This system also reveals a fermionic self-localization effect from a Mott insulator background due to local correlations between the impurities and the bath. The growth of long-range correlations breaks this Mott phase, resulting in the transition to impurity clusters delocalized along the system. Finally, we show that there is a critical impurity number, which depends on intraspecies bosonic interaction, beyond which phase separation is recovered.
title Bose-Fermi $N$-polaron state emergence from correlation-mediated blocking of phase separation
topic Quantum Gases
Quantum Physics
url https://arxiv.org/abs/2409.13785