Brandon M Peden et al 2007 J. Phys. B: At. Mol. Opt. Phys. 40 3725 doi:10.1088/0953-4075/40/18/012
Brandon M Peden, Rajiv Bhat, Meret Krämer and Murray J Holland
Show affiliationsThe 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.
Quantum gases, liquids and solids
Issue 18 (28 September 2007)
Received 22 June 2007, in final form 19 August 2007
Published 7 September 2007
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