Journal
JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS
Volume 40, Issue 18, Pages 3725-3744Publisher
IOP PUBLISHING LTD
DOI: 10.1088/0953-4075/40/18/012
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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.
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