Ultracold bosons with short-range interaction in regular optical lattices
arXiv:1501.03125 · doi:10.1016/j.physrep.2015.10.004
Abstract
During the last decade, many exciting phenomena have been experimentally observed and theoretically predicted for ultracold atoms in optical lattices. This paper reviews these rapid developments concentrating mainly on the theory. Different types of the bosonic systems in homogeneous lattices of different dimensions as well as in the presence of harmonic traps are considered. An overview of the theoretical methods used for these investigations as well as of the obtained results is given. Available experimental techniques are presented and discussed in connection with theoretical considerations. Eigenstates of the interacting bosons in homogeneous lattices and in the presence of harmonic confinement are analysed. Their knowledge is essential for understanding of quantum phase transitions at zero and finite temperature.
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- Even-Odd Correlation Functions on an Optical Lattice
- Spin dynamics across the superfluid-insulator transition of spinful bosons
- Quantum phase transition in a shallow one-dimensional optical lattice
- Quantum phases of a Feshbach-resonant atomic Bose gas in one dimension
- Visibility of ultra-cold Bose system in triangular optical lattices
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- Ultracold Bose gases in time-dependent 1D superlattices: response and quasimomentum structure
- Thermal and quantum noncondensate particles near the superfluid to Mott insulator transition
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