Bose-Hubbard triangular ladder in an artificial gauge field

We consider interacting bosonic particles on a two-leg triangular ladder in the presence of an artificial gauge field. We employ density matrix renormalization group numerical simulations and analytical bosonization calculations to study the rich phase diagram of this system. We show that the interp...

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Main Authors: Catalin-Mihai Halati, Thierry Giamarchi
Format: Article
Language:English
Published: American Physical Society 2023-02-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.5.013126
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author Catalin-Mihai Halati
Thierry Giamarchi
author_facet Catalin-Mihai Halati
Thierry Giamarchi
author_sort Catalin-Mihai Halati
collection DOAJ
description We consider interacting bosonic particles on a two-leg triangular ladder in the presence of an artificial gauge field. We employ density matrix renormalization group numerical simulations and analytical bosonization calculations to study the rich phase diagram of this system. We show that the interplay between the frustration induced by the triangular lattice geometry and the interactions gives rise to multiple chiral quantum phases. Phase transitions between superfluid to Mott-insulating states occur, which can have Meissner or vortex character. Furthermore, a state that explicitly breaks the symmetry between the two legs of the ladder, the biased chiral superfluid, is found for values of the flux close to π. In the regime of hard-core bosons, we show that the extension of the bond order insulator beyond the case of the fully frustrated ladder exhibits Meissner-type chiral currents. We discuss the consequences of our findings for experiments in cold atomic systems.
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spelling doaj.art-fe04159cd1d543b7975970c749ffa1be2024-04-12T17:28:39ZengAmerican Physical SocietyPhysical Review Research2643-15642023-02-015101312610.1103/PhysRevResearch.5.013126Bose-Hubbard triangular ladder in an artificial gauge fieldCatalin-Mihai HalatiThierry GiamarchiWe consider interacting bosonic particles on a two-leg triangular ladder in the presence of an artificial gauge field. We employ density matrix renormalization group numerical simulations and analytical bosonization calculations to study the rich phase diagram of this system. We show that the interplay between the frustration induced by the triangular lattice geometry and the interactions gives rise to multiple chiral quantum phases. Phase transitions between superfluid to Mott-insulating states occur, which can have Meissner or vortex character. Furthermore, a state that explicitly breaks the symmetry between the two legs of the ladder, the biased chiral superfluid, is found for values of the flux close to π. In the regime of hard-core bosons, we show that the extension of the bond order insulator beyond the case of the fully frustrated ladder exhibits Meissner-type chiral currents. We discuss the consequences of our findings for experiments in cold atomic systems.http://doi.org/10.1103/PhysRevResearch.5.013126
spellingShingle Catalin-Mihai Halati
Thierry Giamarchi
Bose-Hubbard triangular ladder in an artificial gauge field
Physical Review Research
title Bose-Hubbard triangular ladder in an artificial gauge field
title_full Bose-Hubbard triangular ladder in an artificial gauge field
title_fullStr Bose-Hubbard triangular ladder in an artificial gauge field
title_full_unstemmed Bose-Hubbard triangular ladder in an artificial gauge field
title_short Bose-Hubbard triangular ladder in an artificial gauge field
title_sort bose hubbard triangular ladder in an artificial gauge field
url http://doi.org/10.1103/PhysRevResearch.5.013126
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AT thierrygiamarchi bosehubbardtriangularladderinanartificialgaugefield