Effective theory of interacting fermions in shaken square optical lattices

  title={Effective theory of interacting fermions in shaken square optical lattices},
  author={A. Keleş and E. Zhao and W. Liu},
  journal={Physical Review A},
We develop a theory of weakly interacting fermionic atoms in shaken optical lattices based on the orbital mixing in the presence of time-periodic modulations. Specifically, we focus on fermionic atoms in a circularly shaken square lattice with near-resonance frequencies, i.e., tuned close to the energy separation between the $s$ band and the $p$ bands. First, we derive a time-independent four-band effective Hamiltonian in the noninteracting limit. Diagonalization of the effective Hamiltonian… Expand
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