Thermodynamics of Adiabatically Loaded Cold Bosons in the Mott Insulating Phase of One-Dimensional Optical Lattices
arXiv:cond-mat/0510461 · doi:10.1140/epjd/e2006-00003-9
Abstract
In this work we give a consistent picture of the thermodynamic properties of bosons in the Mott insulating phase when loaded adiabatically into one-dimensional optical lattices. We find a crucial dependence of the temperature in the optical lattice on the doping level of the Mott insulator. In the undoped case, the temperature is of the order of the large onsite Hubbard interaction. In contrast, at a finite doping level the temperature jumps almost immediately to the order of the small hopping parameter. These two situations are investigated on the one hand by considering limiting cases like the atomic limit and the case of free fermions. On the other hand, they are examined using a quasi-particle conserving continuous unitary transformation extended by an approximate thermodynamics for hardcore particles.
10 pages, 6 figures
References in corpus (7)
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- Spatial correlations of trapped 1d bosons in an optical lattice
- Superfluid to Mott insulator transition in one, two, and three dimensions
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Cited by in corpus (7)
- Formation of spatial shell structures in the superfluid to Mott insulator transition
- Boson Mott insulators at finite temperatures
- Ultracold bosons with short-range interaction in regular optical lattices
- Temperature changes when adiabatically ramping up an optical lattice
- Finite-temperature effects on the number fluctuation of ultracold atoms across the Superfluid to Mott-insulator transition
- Finite temperature coherence of the ideal Bose gas in an optical lattice
- Thermodynamics of quantum degenerate gases in optical lattices