Quasi-angular momentum of Bose and Fermi gases in rotating optical lattices

Abstract

The notion of quasi-angular momentum is introduced to label the eigenstates of a Hamiltonian with a discrete rotational symmetry. This concept is recast in an operatorial form where the creation and annihilation operators of a Hubbard Hamiltonian carry units of quasi-angular momentum. Using this formalism, the ground states of ultracold gases of non-interacting fermions in rotating optical lattices are studied as a function of rotation, and transitions between states of different quasi-angular momentum are identified. In addition, previous results for strongly-interacting bosons are re-examined and compared to the results for non-interacting fermions. Quasi-angular momentum can be used to distinguish between these two cases. Finally, an experimentally accessible signature of quasi-angular momentum is identified in the momentum distributions of single-particle eigenstates.

Added references, fixed typos, expanded introduction. 22 pages, 12 figures, accepted for publication in J. Phys. B (publication date: Sep 7, 2007)

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Cited by in corpus (5)

• Generation of macroscopic superposition states in ring superlattices
• Dynamical constants for electromagnetic fields with elliptic-cylindrical symmetry
• All-optical 3D atomic loops generated with Bessel light fields
• Macroscopic superposition states in rotating ring lattices
• Angular Bloch Oscillations and their applications