Excitation spectrum of Mott shells in optical lattices

Details Excitation spectrum of Mott shells in optical lattices Excitation spectrum of Mott shells in optical lattices

2009-06-29

arxiv.org/abs/0906.5229v1

J. Phys. B: At. Mol. Opt. Phys. 42, 145305 (2009)

Physics

Condensed Matter

Quantum Gases

Scientific paper

10.1088/0953-4075/42/14/145305

We theoretically study the excitation spectrum of confined macroscopic optical lattices in the Mott-insulating limit. For large systems, a fast numerical method is proposed to calculate the ground state filling and excitation energies. We introduce many-particle on-site energies capturing multi-band effects and discuss tunnelling on a perturbative level using an effectively restricted Hilbert space. Results for small one-dimensional lattices obtained by this method are in good agreement with the exact multi-band diagonalization of the Hamiltonian. Spectral properties associated with the formation of regions with constant filling, so-called Mott shells, are investigated and interfaces between the shells with strong particle fluctuations are characterized by gapless local excitations.

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