Emergent interaction-induced topology in Bose-Hubbard ladders

Fuente: arXiv
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Hauptverfasser: Wellnitz, David, Domínguez-Castro, Gustavo A., Bilitewski, Thomas, Aidelsburger, Monika, Rey, Ana Maria, Santos, Luis
Format: Preprint
Veröffentlicht: 2024
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author Wellnitz, David
Domínguez-Castro, Gustavo A.
Bilitewski, Thomas
Aidelsburger, Monika
Rey, Ana Maria
Santos, Luis
author_facet Wellnitz, David
Domínguez-Castro, Gustavo A.
Bilitewski, Thomas
Aidelsburger, Monika
Rey, Ana Maria
Santos, Luis
contents We investigate the quantum many-body dynamics of bosonic atoms hopping in a two-leg ladder with strong on-site contact interactions. We observe that when the atoms are prepared in a staggered pattern with pairs of atoms on every other rung, singlon defects, i.e.~rungs with only one atom, can localize due to an emergent topological model, even though the underlying model in the absence of interactions admits only topologically trivial states. This emergent topological localization results from the formation of a zero-energy edge mode in an effective lattice formed by two adjacent chains with alternating strong and weak hoping links (Su-Schrieffer-Heeger chains) and opposite staggering which interface at the defect position. Our findings open the opportunity to dynamically generate non-trivial topological behaviors without the need for complex Hamiltonian engineering.
format Preprint
id arxiv_https___arxiv_org_abs_2409_05109
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Emergent interaction-induced topology in Bose-Hubbard ladders
Wellnitz, David
Domínguez-Castro, Gustavo A.
Bilitewski, Thomas
Aidelsburger, Monika
Rey, Ana Maria
Santos, Luis
Quantum Gases
Quantum Physics
We investigate the quantum many-body dynamics of bosonic atoms hopping in a two-leg ladder with strong on-site contact interactions. We observe that when the atoms are prepared in a staggered pattern with pairs of atoms on every other rung, singlon defects, i.e.~rungs with only one atom, can localize due to an emergent topological model, even though the underlying model in the absence of interactions admits only topologically trivial states. This emergent topological localization results from the formation of a zero-energy edge mode in an effective lattice formed by two adjacent chains with alternating strong and weak hoping links (Su-Schrieffer-Heeger chains) and opposite staggering which interface at the defect position. Our findings open the opportunity to dynamically generate non-trivial topological behaviors without the need for complex Hamiltonian engineering.
title Emergent interaction-induced topology in Bose-Hubbard ladders
topic Quantum Gases
Quantum Physics
url https://arxiv.org/abs/2409.05109