Cold Bosons in Optical Lattices
arXiv:0901.0636 · doi:10.1134/S1054660X09010010
Abstract
Basic properties of cold Bose atoms in optical lattices are reviewed. The main principles of correct self-consistent description of arbitrary systems with Bose-Einstein condensate are formulated. Theoretical methods for describing regular periodic lattices are presented. A special attention is paid to the discussion of Bose-atom properties in the frame of the boson Hubbard model. Optical lattices with arbitrary strong disorder, induced by random potentials, are treated. Possible applications of cold atoms in optical lattices are discussed, with an emphasis of their usefulness for quantum information processing and quantum computing. An important feature of the present review article, distinguishing it from other review works, is that theoretical fundamentals here are not just mentioned in brief, but are thoroughly explained. This makes it easy for the reader to follow the principal points without the immediate necessity of resorting to numerous publications in the field.
Latex file, 211 pages, 3 figures
References in corpus (51)
- Bose-Einstein condensation of chromium
- Controlled exchange interaction between pairs of neutral atoms in an optical lattice
- Destruction of Anderson localization by a weak nonlinearity
- Supersolid hardcore bosons on the triangular lattice
- Anderson Localization of Expanding Bose-Einstein Condensates in Random Potentials
- Superfluidity of Bose-Einstein Condensate in An Optical Lattice: Landau-Zener Tunneling and Dynamical Instability
- Monte Carlo study of two-dimensional Bose-Hubbard model
- Molecules of Fermionic Atoms in an Optical Lattice
- Observation of photon-assisted tunneling in optical lattices
- Interference of an array of independent Bose-Einstein condensates
- Quantum Monte Carlo simulations of confined bosonic atoms in optical lattices
- Critical Behavior of a Trapped Interacting Bose Gas
- Preparing and probing atomic number states with an atom interferometer
- Sublattice addressing and spin-dependent motion of atoms in a double-well lattice
- Few-boson dynamics in double wells: From single-atom to correlated-pair tunneling
- Condensate fraction in a 2D Bose gas measured across the Mott-insulator transition
- Phase Coherence and Superfluid-Insulator Transition in a Disordered Bose-Einstein Condensate
- Bose-Einstein Condensation of an Ytterbium Isotope
- Bose-Einstein condensates in 1D optical lattices: compressibility, Bloch bands and elementary excitations
- Boson Mott insulators at finite temperatures
- Cold Atoms and Molecules in Self-Assembled Dipolar Lattices
- Universal properties of hard-core bosons confined on one-dimensional lattices
- Phase Diagram for Ultracold Bosons in Optical Lattices and Superlattices
- Best mean-field for condensates
- Representative statistical ensembles for Bose systems with broken gauge symmetry
- Quantum phases of bosons in double-well optical lattices
- Density modulations in an elongated Bose-Einstein condensate released from a disordered potential
- Bose-Einstein-condensed gases in arbitrarily strong random potentials
- Systematic Mapping of the Hubbard Model to the Generalized t-J Model
- Condensation of Ideal Bose Gas Confined in a Box Within a Canonical Ensemble
- Mean-field phase diagram of cold lattice bosons in disordered potentials
- Self-Consistent Theory of Bose-Condensed Systems
- Coherent control of mesoscopic tunneling in a Bose-Einstein condensate
- Perturbative corrections to the Gutzwiller mean-field solution of the Mott-Hubbard model
- Bose-Einstein Condensates in Strongly Disordered Traps
- Validity of the Adiabatic Approximation
- Reentrant Phenomenon in Quantum Phase Diagram of Optical Boson Lattice
- Condensate and superfluid fractions for varying interactions and temperature
- Correlation effects in the ground state of trapped atomic Bose gases
- Equivalence of Bose-Einstein condensation and symmetry breaking
- Fractional-filling Mott domains in two dimensional optical superlattices
- Formation and dynamics of many-boson fragmented states in attractive one-dimensional ultra-cold gases
- Localization and delocalization of ultracold bosonic atoms in finite optical lattices
- Calculations of canonical averages from the grand canonical ensemble
- Order parameter for the dynamical phase transition in Bose-Einstein condensates with topological modes
- Coexistence of superfluid and Mott phases of lattice bosons
- Resonant Bose Condensate: Analog of Resonant Atom
- Dynamics of Bose-Einstein Condensates in One-Dimensional Optical Lattices in the Presence of Transverse Resonances
- Multiple Coupling of Topological Coherent Modes of Trapped Atoms
- Generation of mesoscopic superpositions of a binary Bose-Einstein condensate in a slightly asymmetric double well
- Entanglement production with Bose atoms in optical lattices