Superfluid to Mott-insulator transition of cold atoms in optical lattices
arXiv:0811.2287 · doi:10.1016/j.physb.2008.11.084
Abstract
We review the superfluid to Mott-insulator transition of cold atoms in optical lattices. The experimental signatures of the transition are discussed and the RPA theory of the Bose-Hubbard model briefly described. We point out that the critical behavior at the transition, as well as the prediction by the RPA theory of a gapped mode (besides the Bogoliubov sound mode) in the superfluid phase, are difficult to understand from the Bogoliubov theory. On the other hand, these findings appear to be intimately connected to the non-trivial infrared behavior of the superfluid phase as recently studied within the non-perturbative renormalization group.
arXiv comment6 pages, Proceedings of the 5th International Workshop on Electronic Crystals (ECRYS 2008)
References in corpus (26)
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Cold bosonic atoms in optical lattices
- Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
- Transition from a strongly interacting 1D superfluid to a Mott insulator
- Quantum phases in an optical lattice
- The Mott insulator transition in two dimensions
- Strong-coupling expansions for the pure and disordered bose Hubbard model
- The Excitation Spectrum of a Bose-Einstein Condensate
- Monte Carlo study of two-dimensional Bose-Hubbard model
- Imaging the Mott Insulator Shells using Atomic Clock Shifts
- Phase diagram of the bose Hubbard model
- Formation of spatial shell structures in the superfluid to Mott insulator transition
- Phase coherence of an atomic Mott insulator
- Mott insulator to superfluid transition in the Bose-Hubbard model: a strong-coupling approach
- Dynamical properties of ultracold bosons in an optical lattice
- Revealing Superfluid--Mott-Insulator Transition in an Optical Lattice
- Interference pattern and visibility of a Mott insulator
- Condensate fraction in a 2D Bose gas measured across the Mott-insulator transition
- Spectral weight redistribution in strongly correlated bosons in optical lattices
- Renormalization Group Approach to the Infrared Behavior of a Zero-Temperature Bose System
- Superfluid to Mott-insulator transition in Bose-Hubbard models
- Functional renormalization for quantum phase transitions with non-relativistic bosons
- Non-perturbative renormalization-group approach to zero-temperature Bose systems
- Itinerant-localized dual character of a strongly-correlated superfluid Bose gas in an optical lattice
- Laser probing of single-particle energy gap of a Bose gas in an optical lattice in the Mott insulator phase
- The Generic, Incommensurate Transition in the two-dimensional Boson Hubbard Model
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