Effective orbital ordering in multiwell optical lattices with fermionic atoms

A. M. Belemuk, N. M. Chtchelkatchev, and A. V. Mikheyenkov
Phys. Rev. A 90, 023625 – Published 19 August 2014

Abstract

We consider the behavior of Fermi atoms on optical superlattices with two-well structure for each node. Fermions on such lattices serve as an analog simulator of the Fermi-type Hamiltonian. We derive a mapping between fermion quantum ordering in the optical superlattices and the spin-orbital physics developed for degenerate d-electron compounds. The appropriate effective spin-orbital model appears to be a modification of the Kugel-Khomskii Hamiltonian. We show how different ground states of this Hamiltonian correspond to particular spin-pseudospin arrangement patterns of fermions on the lattice. The dependence of the fermion arrangement on phases of complex hopping amplitudes is illustrated.

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  • Received 15 February 2014

DOI:https://doi.org/10.1103/PhysRevA.90.023625

©2014 American Physical Society

Authors & Affiliations

A. M. Belemuk1,2, N. M. Chtchelkatchev2,3,4, and A. V. Mikheyenkov1,2

  • 1Institute for High Pressure Physics, Russian Academy of Science, Troitsk 142190, Russia
  • 2Department of Theoretical Physics, Moscow Institute of Physics and Technology, 141700 Moscow, Russia
  • 3Department of Physics and Astronomy, California State University Northridge, Northridge, California 91330, USA
  • 4L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences, 117940 Moscow, Russia

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Vol. 90, Iss. 2 — August 2014

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