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Time-of-flight patterns of ultracold bosons in optical lattices in various Abelian artificial magnetic field gauges

2013/03/14 by T. P. Polak, T. A. Zaleski
Chemistry · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum, superfluid, helium dynamics #Spectroscopy and Laser Applications #cond-mat.quant-gas

paper · pdf · doi:10.1103/physreva.87.033614

published as Phys. Rev. A 87, 033614 (2013); http://pra.aps.org/abstract/PRA/v87/i3/e033614 · 10 pages, 10 figures

openalex publication_date 2013/03/14 · arxiv created 2013/04/03 · arxiv updated 2013/04/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

We calculate the time-of-flight patterns of strongly interacting bosons confined in a two-dimensional square lattice in the presence of an artificial magnetic field, using a quantum rotor model that is inherently combined with the Bogoliubov approach. We consider various geometries of the magnetic flux, which are expected to be realizable, or have already been implemented in experimental settings. The flexibility of the method allowed us to study cases where the artificial magnetic field is uniform or staggered or forms a checkerboard configuration. The effects of additional temporal modulation of the optical potential that results from application of Raman lasers driving particle transitions between lattice sites are also included. The time-of-flight patterns presented may serve as a verification of the chosen gauge in experiments, but also provide important hints on unconventional, nonzero-momentum condensates, or the possibility of observing graphenelike physics resulting from the occurrence of Dirac cones in artificial magnetic fields in systems of ultracold bosons in optical lattices. Also, we elucidate the differences between the effects of magnetic fields in solids and of artificial magnetic fields in optical lattices, which can be controlled on a much higher level, leading to effects not possible in condensed matter physics.

Citations