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

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 clustere...

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Main Authors: Felipe Gómez-Lozada, Hoshu Hiyane, Thomas Busch, Thomás Fogarty
Format: Article
Language:English
Published: American Physical Society 2025-04-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.7.023053
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author Felipe Gómez-Lozada
Hoshu Hiyane
Thomas Busch
Thomás Fogarty
author_facet Felipe Gómez-Lozada
Hoshu Hiyane
Thomas Busch
Thomás Fogarty
author_sort Felipe Gómez-Lozada
collection DOAJ
description 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.
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issn 2643-1564
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publishDate 2025-04-01
publisher American Physical Society
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series Physical Review Research
spelling doaj-art-7ea9d77a998342db8e47a76e0dd7e7a12025-08-20T03:06:43ZengAmerican Physical SocietyPhysical Review Research2643-15642025-04-017202305310.1103/PhysRevResearch.7.023053Bose–Fermi N-polaron state emergence from correlation-mediated blocking of phase separationFelipe Gómez-LozadaHoshu HiyaneThomas BuschThomás FogartyWe 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.http://doi.org/10.1103/PhysRevResearch.7.023053
spellingShingle Felipe Gómez-Lozada
Hoshu Hiyane
Thomas Busch
Thomás Fogarty
Bose–Fermi N-polaron state emergence from correlation-mediated blocking of phase separation
Physical Review Research
title Bose–Fermi N-polaron state emergence from correlation-mediated blocking of phase separation
title_full Bose–Fermi N-polaron state emergence from correlation-mediated blocking of phase separation
title_fullStr Bose–Fermi N-polaron state emergence from correlation-mediated blocking of phase separation
title_full_unstemmed Bose–Fermi N-polaron state emergence from correlation-mediated blocking of phase separation
title_short Bose–Fermi N-polaron state emergence from correlation-mediated blocking of phase separation
title_sort bose fermi n polaron state emergence from correlation mediated blocking of phase separation
url http://doi.org/10.1103/PhysRevResearch.7.023053
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AT thomasfogarty boseferminpolaronstateemergencefromcorrelationmediatedblockingofphaseseparation