Interacting Hofstadter spectrum of atoms in an artificial gauge field

Details Interacting Hofstadter spectrum of atoms in an artificial gauge field Interacting Hofstadter spectrum of atoms in an artificial gauge field

2010-04-05

arxiv.org/abs/1004.0701v2

Phys. Rev. Lett. 104, 255303 (2010)

Physics

Condensed Matter

Quantum Gases

4+ pages, 2 figures; v2: published version

Scientific paper

10.1103/PhysRevLett.104.255303

Motivated by experimental advances in the synthesis of gauge potentials for ultracold atoms, we consider the superfluid phase of interacting bosons on a square lattice in the presence of a magnetic field. We show that superfluid order implies spatial symmetry breaking, and predict clear signatures of many-body effects in time-of-flight measurements. By developing a Bogoliubov expansion based on the exact Hofstadter spectrum, we find the dispersion of the quasiparticle modes within the superfluid phase, and describe the consequences for Bragg spectroscopy measurements. The theory also provides an estimate of the critical interaction strength at the transition to the Mott insulator phase.

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