Fractional Quantum Hall Wedding Cakes

Fuente: arXiv
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Autores principales: Van Bastelaere, Chloé, Palm, Felix A., Wang, Botao, Goldman, Nathan, Vanderstraeten, Laurens
Formato: Preprint
Publicado: 2025
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author Van Bastelaere, Chloé
Palm, Felix A.
Wang, Botao
Goldman, Nathan
Vanderstraeten, Laurens
author_facet Van Bastelaere, Chloé
Palm, Felix A.
Wang, Botao
Goldman, Nathan
Vanderstraeten, Laurens
contents This work investigates the coexistence of distinct topologically ordered phases within a single setup. We demonstrate this concept through tensor network simulations of the Hofstadter-Bose-Hubbard model under a spatially modulated chemical potential. Focusing on cylindrical geometries, we realize regions exhibiting the Laughlin-1/2 phase and its particle-hole conjugate, and confirm their topological character via the local Středa's response and Laughlin's flux insertion protocol. Our approach offers a new pathway for experimentally and numerically charting entire phase diagrams within a single system, possibly eliminating the need for independent parameter scans.
format Preprint
id arxiv_https___arxiv_org_abs_2510_15472
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Fractional Quantum Hall Wedding Cakes
Van Bastelaere, Chloé
Palm, Felix A.
Wang, Botao
Goldman, Nathan
Vanderstraeten, Laurens
Quantum Gases
Mesoscale and Nanoscale Physics
Strongly Correlated Electrons
This work investigates the coexistence of distinct topologically ordered phases within a single setup. We demonstrate this concept through tensor network simulations of the Hofstadter-Bose-Hubbard model under a spatially modulated chemical potential. Focusing on cylindrical geometries, we realize regions exhibiting the Laughlin-1/2 phase and its particle-hole conjugate, and confirm their topological character via the local Středa's response and Laughlin's flux insertion protocol. Our approach offers a new pathway for experimentally and numerically charting entire phase diagrams within a single system, possibly eliminating the need for independent parameter scans.
title Fractional Quantum Hall Wedding Cakes
topic Quantum Gases
Mesoscale and Nanoscale Physics
Strongly Correlated Electrons
url https://arxiv.org/abs/2510.15472