2007/07/31 by Brandon M. Peden, Brandon Peden, Rajiv Bhat +4 · 1 citation
Physics and Astronomy · #Angular momentum #Angular momentum coupling #Angular momentum of light #Angular momentum operator #Boson #Cold Atom Physics and Bose-Einstein Condensates #Fermion #Hamiltonian (control theory) #Orbital angular momentum of light #Physics #Quantum electrodynamics #Quantum mechanics #Quantum optics and atomic interactions #Rotational transition #Strong Light-Matter Interactions #Total angular momentum quantum number #cond-mat.other
paper · pdf · doi:10.1088/0953-4075/40/18/012
published as J. Phys. B: At. Mol. Opt. Phys. 40 (2007) 3725-3744 · Added references, fixed typos, expanded introduction. 22 pages, 12 figures, accepted for publication in J. Phys. B (publication date: Sep 7, 2007)
openalex publication_date 2007/09/07 · arxiv created 2007/10/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.