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Finite-temperature effects on the superfluid Bose–Einstein condensation of confined ultracold atoms in three-dimensional optical lattices
We discuss the finite-temperature phase diagram in the three-dimensional Bose-Hubbard (BH) model in the strong correlation regime, relevant for Bose-Einstein condensates in optical lattices, by employing a quantum rotor approach. In systems with strong on-site repulsive interactions, the rotor U(1)...
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Published in: | Journal of physics. B, Atomic, molecular, and optical physics Atomic, molecular, and optical physics, 2009-05, Vol.42 (9), p.095302 |
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container_start_page | 095302 |
container_title | Journal of physics. B, Atomic, molecular, and optical physics |
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creator | Polak, T P Kopeć, T K |
description | We discuss the finite-temperature phase diagram in the three-dimensional Bose-Hubbard (BH) model in the strong correlation regime, relevant for Bose-Einstein condensates in optical lattices, by employing a quantum rotor approach. In systems with strong on-site repulsive interactions, the rotor U(1) phase variable dual to the local boson density emerges as an important collective field. After establishing the connection between the rotor construction and the on-site interaction in the BH model a robust effective action formalism is developed which allows us to study the superfluid phase transition in various temperature-interaction regimes. |
doi_str_mv | 10.1088/0953-4075/42/9/095302 |
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subjects | Atom, molecule and ion trapping and colling methods Atomic and molecular physics Classical and quantum physics: mechanics and fields Exact sciences and technology Matter waves Mechanical control of atoms, molecules and ions Physics |
title | Finite-temperature effects on the superfluid Bose–Einstein condensation of confined ultracold atoms in three-dimensional optical lattices |
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