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Ultracold atoms in optical lattices

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Figure

FIG. 2. Qualitative phase diagram in terms of the chemical po- po-tential ␮¯⫽␮/zt and the dimensionless coupling constant U¯
FIG. 3. Phase diagram of the Bose-Hubbard Hamiltonian as obtained from the mean-field zero-temperature limit in the  slave-boson formalism
FIG. 4. Numerical solution of the slave-boson occupation  num-bers n 0 , n 1 , and n 2 is shown in 共a兲–共c兲 as a function of ␮¯ for  vari-ous temperatures and for fixed U/zt ⫽10
FIG. 7. The dispersion relations for k ⫽0 in the case where we take into account higher filling factors at nonzero temperature
+2

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