Analytical approach to a bosonic ladder subject to a magnetic field
arXiv:1603.05141 · doi:10.1103/PhysRevA.93.053629
Abstract
We examine a bosonic two-leg ladder model subject to a magnetic flux, and especially focus on a regime where the lower energy band has two minima. By using a low-energy field theory approach, we study several issues discussed in the system: the existence of local patterns in density and current, chiral-current reversal, and the effect of a nearest-neighbor interaction along the rung direction. In our formalism, the local patterns are interpreted as a result of breaking of discrete symmetry. The chiral-current reversal occurs through a competition between a current component determined at a commensurate vortex density causing an enlargement of the unit cell, and another component, which is proportional to the magnetic field doping from the corresponding commensurate flux. The nearest-neighbor interaction along the rung direction available with the technique on a synthetic dimension is shown to favor a population-imbalance solution in an experimentally relevant regime.
7 pages
References in corpus (15)
- Observation of chiral edge states with neutral fermions in synthetic Hall ribbons
- Degenerate Quantum Gases with Spin-Orbit Coupling
- Visualizing edge states with an atomic Bose gas in the quantum Hall regime
- Vortex and Meissner phases of strongly-interacting bosons on a two-leg ladder
- Spontaneous increase of magnetic flux and chiral-current reversal in bosonic ladders: Swimming against the tide
- Magnetic crystals and helical liquids in alkaline-earth fermionic gases
- Chiral Mott Insulators, Meissner Effect, and Laughlin States in Quantum Ladders
- Theory of Bosons in two-leg ladders with large magnetic fields
- Synthetic gauge fields in synthetic dimensions: Interactions and chiral edge modes
- Persisting Meissner state and incommensurate phases of hard-core boson ladders in a flux
- Mott transition in a two-leg Bose-Hubbard ladder under an artificial magnetic field
- Diamagnetism of doped two-leg ladders and probing the nature of their commensurate phases
- Strongly interacting bosons on a three-leg ladder in the presence of a homogeneous flux
- Population-imbalance instability in a Bose-Hubbard ladder in the presence of a magnetic flux
- Bosons with long range interactions on two-leg ladders in artificial magnetic fields
Cited by in corpus (16)
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- Quantum dynamics of bosons in a two-ring ladder: dynamical algebra, vortex-like excitations and currents
- Bose-Hubbard triangular ladder in an artificial gauge field
- Interacting bosonic flux ladders with a synthetic dimension: Ground-state phases and quantum quench dynamics
- A cavity-induced artificial gauge field in a Bose-Hubbard ladder
- Devil's staircases in synthetic dimensions and gauge fields
- Cavity-induced spin-orbit coupling in an interacting bosonic wire
- Finite-temperature properties of interacting bosons on a two-leg flux ladder
- Quantum phases of strongly-interacting bosons on a two-leg Haldane ladder
- Robust and Ultrafast State Preparation by Ramping Artificial Gauge Potentials
- Tunneling vortex dynamics in linearly coupled Bose-Hubbard rings
- Spin-gap spectroscopy in a bosonic flux ladder
- Fractional topological insulator precursors in spin-orbit fermion ladders
- Interaction-induced chiral-transport inversion
- Ground-state phase diagram of two-component interacting bosons on a two-leg ladder