Analytical approach to a bosonic ladder subject to a magnetic field

Shun Uchino*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

21 Citations (Scopus)


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.

Original languageEnglish
Article number053629
JournalPhysical Review A
Issue number5
Publication statusPublished - 2016 May 31
Externally publishedYes

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics


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