Phonon-induced artificial magnetic fields

Abstract

We investigate the effect of a rotating Bose-Einstein condensate on a system of immersed impurity atoms trapped by an optical lattice. We analytically show that for a one-dimensional, ring-shaped setup the coupling of the impurities to the Bogoliubov phonons of the condensate leads to a non-trivial phase in the impurity hopping. The presence of this phase can be tested by observing a drift in the transport properties of the impurities. These results are quantitatively confirmed by a numerically exact simulation of a two-mode Bose-Hubbard model. We also give analytical expressions for the occurring phase terms for a two-dimensional setup. The phase realises an artificial magnetic field and can for instance be used for the simulation of the quantum Hall effect using atoms in an optical lattice.

6 pages, 4 figures

References in corpus (6)

• Effective magnetic fields in degenerate atomic gases induced by light beams with orbital angular momenta
• Optical lattice quantum Hall effect
• Dynamics, dephasing and clustering of impurity atoms in Bose-Einstein condensates
• Transport of strong-coupling polarons in optical lattices
• Generation of macroscopic superposition states in ring superlattices
• Dissipative dynamics of atomic Hubbard models coupled to a phonon bath: Dark state cooling of atoms within a Bloch band of an optical lattice

Cited by in corpus (4)

• Ultracold atomic gases in non-Abelian gauge potentials: The case of constant Wilson loop
• Ultracold atomic gas in non-Abelian "magnetic" fields: the quantum Hall effect supremacy
• Quantum optics with quantum gases: controlled state reduction by designed light scattering
• Characterizing the Hofstadter butterfly's outline with Chern numbers