Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

The European Physical Journal Plus

Three-leg triangular ladder in the presence of a uniform flux

Dian-Cheng Zhang, Shi-Jie Yang

Published Jun 4, 2026• 0 citations
Publisher
DOI
10.1140/epjp/s13360-026-07855-7

Related papers

Staggered flux state and charge order in a 2-leg triangular ladder system

Lihua Pan, J. An, Can Gong

The European Physical Journal B•Sep 1, 2008•0 citations

Three-leg bosonic triangular ladder in a staggered magnetic field

Dian-Cheng Zhang, Shi-Jie Yang

Physics Letters A•Nov 1, 2024•1 citation

Quench dynamics of two-leg ladders with magnetic flux

Xin Qiao, Xiaobo Zhang, Yue Jian +2 more

Physica A Statistical Mechanics and its Applications•Apr 27, 2021•6 citations

Symmetry-broken states in a system of interacting bosons on a two-leg ladder with a uniform Abelian gauge field

Sebastian Greschner, Marie Piraud, Fabian Heidrich‐Meisner +3 more

We study the quantum phases of bosons with repulsive contact interactions on a two-leg ladder in the presence of a uniform Abelian gauge field. The model realizes many interesting states, including Meissner phases, vortex fluids, vortex lattices, charge density waves, and the biased-ladder phase. Our work focuses on the subset of these states that breaks a discrete symmetry. We use density matrix renormalization group simulations to demonstrate the existence of three vortex-lattice states at different vortex densities and we characterize the phase transitions from these phases into neighboring states. Furthermore, we provide an intuitive explanation of the chiral-current reversal effect that is tied to some of these vortex lattices. We also study a charge-density-wave state that exists at 1/4 particle filling at large interaction strengths and flux values close to half a flux quantum. By changing the system parameters, this state can transition into a completely gapped vortex-lattice Mott-insulating state. We elucidate the stability of these phases against nearest-neighbor interactions on the rungs of the ladder relevant for experimental realizations with a synthetic lattice dimension. A charge-density-wave state at 1/3 particle filling can be stabilized for flux values close to half a flux quantum and for very strong on-site interactions in the presence of strong repulsion on the rungs. Finally, we analytically describe the emergence of these phases in the low-density regime, and, in particular, we obtain the boundaries of the biased-ladder phase, i.e., the phase that features a density imbalance between the legs. We make contact with recent quantum-gas experiments that realized related models and discuss signatures of these quantum states in experimentally accessible observables.

arXiv:1610.02435•Physical Review A•Dec 22, 2016•82 citations

Bose-Hubbard triangular ladder in an artificial gauge field

Catalin-Mihai Halati, Thierry Giamarchi

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 $\ensuremath{\pi}$. 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.

arXiv:2210.14594•Physical Review Research•Feb 17, 2023•27 citations

Interacting bosons on a four-leg flux ladder

Dian-Cheng Zhang, Shi-Jie Yang

Abstract We conduct a dynamical Gutzwiller mean-field study of interacting bosons on a four-leg ladder, subject to a uniform flux. The ground states dependent on the magnetic flux and kinetic tunneling strength are explored. Consequently, we identify the super-vortical lattice, as well as the inner-Meissner phase, which presents Meissner currents just along the intimal legs within the flux ladder. The staggered-current phase is also allowed, with its formation condition altered because of the four-leg construction. The number of legs on the flux ladder can make an effect.

Communications in Theoretical Physics•Dec 13, 2024•0 citations
We study the quantum phases of bosons with repulsive contact interactions on a two-leg ladder in the presence of a uniform Abelian gauge field. The model realizes many interesting states, including Meissner phases, vortex fluids, vortex lattices, charge density waves, and the biased-ladder phase. Our work focuses on the subset of these states that breaks a discrete symmetry. We use density matrix renormalization group simulations to demonstrate the existence of three vortex-lattice states at different vortex densities and we characterize the phase transitions from these phases into neighboring states. Furthermore, we provide an intuitive explanation of the chiral-current reversal effect that is tied to some of these vortex lattices. We also study a charge-density-wave state that exists at 1/4 particle filling at large interaction strengths and flux values close to half a flux quantum. By changing the system parameters, this state can transition into a completely gapped vortex-lattice Mott-insulating state. We elucidate the stability of these phases against nearest-neighbor interactions on the rungs of the ladder relevant for experimental realizations with a synthetic lattice dimension. A charge-density-wave state at 1/3 particle filling can be stabilized for flux values close to half a flux quantum and for very strong on-site interactions in the presence of strong repulsion on the rungs. Finally, we analytically describe the emergence of these phases in the low-density regime, and, in particular, we obtain the boundaries of the biased-ladder phase, i.e., the phase that features a density imbalance between the legs. We make contact with recent quantum-gas experiments that realized related models and discuss signatures of these quantum states in experimentally accessible observables.
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 $\ensuremath{\pi}$. 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.
Abstract We conduct a dynamical Gutzwiller mean-field study of interacting bosons on a four-leg ladder, subject to a uniform flux. The ground states dependent on the magnetic flux and kinetic tunneling strength are explored. Consequently, we identify the super-vortical lattice, as well as the inner-Meissner phase, which presents Meissner currents just along the intimal legs within the flux ladder. The staggered-current phase is also allowed, with its formation condition altered because of the four-leg construction. The number of legs on the flux ladder can make an effect.