Superfluid to Mott‐insulator transition in an anisotropic two‐dimensional optical lattice |
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Authors: | T.P. Polak T.K. Kopeć |
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Affiliation: | Institute for Low Temperatures and Structure Research, Polish Academy of Sciences, POB 1410, 50‐950 Wroclaw 2, Poland |
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Abstract: | 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. |
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Keywords: | Optical lattice Bose condensation Mott‐insulator transition. |
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