Momentum-space Harper-Hofstadter model

Tomoki Ozawa, Hannah M. Price, Iacopo Carusotto

Research output: Contribution to journalArticlepeer-review

14 Citations (Scopus)

Abstract

We show how the weakly trapped Harper-Hofstadter model can be mapped onto a Harper-Hofstadter model in momentum space. In this momentum-space model, the band dispersion plays the role of the periodic potential, the Berry curvature plays the role of an effective magnetic field, the real-space harmonic trap provides the momentum-space kinetic energy responsible for the hopping, and the trap position sets the boundary conditions around the magnetic Brillouin zone. Spatially local interactions translate into nonlocal interactions in momentum space: within a mean-field approximation, we show that increasing interparticle interactions leads to a structural change of the ground state, from a single rotationally symmetric ground state to degenerate ground states that spontaneously break rotational symmetry.

Original languageEnglish
Article number023609
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume92
Issue number2
DOIs
Publication statusPublished - 2015 Aug 10
Externally publishedYes

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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