Superfluid to Mott-insulator transition in an anisotropic two-dimensional optical lattice
Article first published online: 20 NOV 2008
Copyright © 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
Annalen der Physik
Volume 17, Issue 12, pages 947–954, December 2008
How to Cite
Polak, T.P. and Kopeć, T.K. (2008), Superfluid to Mott-insulator transition in an anisotropic two-dimensional optical lattice. Ann. Phys., 17: 947–954. doi: 10.1002/andp.200810328
- Issue published online: 20 NOV 2008
- Article first published online: 20 NOV 2008
- Manuscript Accepted: 22 OCT 2008
- Manuscript Received: 22 SEP 2008
- Ministry of Education and Science MEN. Grant Number: 1 P03B 103 30
- Optical lattice;
- Bose condensation;
- Mott-insulator transition.
We study the superfluid to Mott-insulator transition of bosons in an optical anisotropic lattice by employing the Bose-Hubbard model living on a two-dimensional lattice with anisotropy parameter κ. The compressible superfluid state and incompressible Mott-insulator (MI) lobes are efficiently described analytically, using the quantum U(1) rotor approach. The ground state phase diagram showing the evolution of the MI lobes is quantified for arbitrary values of κ, corresponding to various kind of lattices: from square, through rectangular to almost one-dimensional.