P-band in a rotating optical lattice

Details P-band in a rotating optical lattice P-band in a rotating optical lattice

2008-05-29

arxiv.org/abs/0805.4484v2

Phys. Rev. A 78, 033602 (2008)

Physics

Condensed Matter

Other Condensed Matter

7 pages, 4 figures, new discussion of effective Hamiltonian, references added

Scientific paper

10.1103/PhysRevA.78.033602

We investigate the effects of rotation on the excited bands of a tight binding lattice, focusing particulary on the first excited (p-) band. Both the on-site energies and the hopping between lattice sites are modified by the effective magnetic field created by rotation, causing a non-trivial splitting and magnetic fine structure of the p-band. We show that Peierls substitution can be modified to describe p-band under rotation, and use this method to derive an effective Hamiltonian. We compare the spectrum of the effective Hamiltonian with a first principles calculation of the magnetic band structure and find excellent agreement, confirming the validity of our approach. We also discuss the on-site interaction terms for bosons and argue that many-particle phenomena in a rotating p-band can be investigated starting from this effective Hamiltonian.

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