Mott insulators in an optical lattice with high filling factors
arXiv:cond-mat/0205066 · doi:10.1103/PhysRevA.67.033606
Abstract
We discuss the superfluid to Mott insulator transition of an atomic Bose gas in an optical lattice with high filling factors. We show that also in this multi-band situation, the long-wavelength physics is described by a single-band Bose-Hubbard model. We determine the many-body renormalization of the tunneling and interaction parameters in the effective Bose-Hubbard Hamiltonian, and consider the resulting model at nonzero temperatures. We show that in particular for a one or two-dimensional optical lattice, the Mott insulator phase is more difficult to realize than anticipated previously.
5 pages, 3 figures, title changed, major restructuring, resubmitted to PRL
References in corpus (4)
Cited by in corpus (46)
- Quantum phase transitions of light
- Coherent driving and freezing of bosonic matter wave in an optical Lieb lattice
- Roadmap on Atomtronics: State of the art and perspective
- Multi-flavor bosonic Hubbard models in the first excited Bloch band of an optical lattice
- Ultracold atoms in optical lattices
- Physics of higher orbital bands in optical lattices: a review
- Quantum Fluctuations, Temperature and Detuning Effects in Solid-Light Systems
- Extended Bose Hubbard model of interacting bosonic atoms in optical lattices: from superfluidity to density waves
- Quantum phase transitions in photonic cavities with two-level systems
- Bose-Hubbard phase diagram with arbitrary integer filling
- Direct observation of number squeezing in an optical lattice
- Non-equilibrium coherence dynamics of a soft boson lattice
- Full Counting Statistics of Charge in Chaotic Many-body Quantum Systems
- Interaction broadening of Wannier functions and Mott transitions in atomic BEC
- Ultracold Superstrings in atomic boson-fermion mixtures
- Bose-Hubbard model with attractive interactions
- Schwinger-Keldysh approach to out of equilibrium dynamics of the Bose Hubbard model with time varying hopping
- Finite-temperature effects on the number fluctuation of ultracold atoms across the Superfluid to Mott-insulator transition
- Quantum fluctuations of a vortex in an optical lattice
- Dynamics of cold bosons in optical lattices: Effects of higher Bloch bands
- Bose-Hubbard model in a ring-shaped optical lattice with high filling factors
- Accuracy of quantum simulators with ultracold dipolar molecules: a quantitative comparison between continuum and lattice descriptions
- Quantum theory of a vortex line in an optical lattice
- Insulator-Superfluid transition of spin-1 bosons in an optical lattice in magnetic field
- Theory of Ultracold Superstrings
- Excitations of a Bose-Einstein condensate in a one-dimensional optical lattice
- Reference data for phase diagrams of triangular and hexagonal bosonic lattices
- The Miscible-Immiscible Quantum Phase Transition in Coupled Two-Component Bose-Einstein Condensates in 1D Optical Lattices
- Bose - Einstein Condensate Superfluid-Mott Insulator Transition in an Optical Lattice
- Effective three-body interactions for bosons in a double-well confinement
- Thermal effects in light scattering from ultracold bosons in an optical lattice
- Slave particle approach to the finite temperature properties of ultracold Bose gases in optical lattices
- Theory of vortex-lattice melting in a one-dimensional optical lattice
- Localization and Anomalous Transport in a 1-D Soft Boson Optical Lattice
- Adiabatic Loading of Cold Bosons in Three-Dimensional Optical Lattices and Superfluid-Normal Phase Transition
- Vortex-line solitons in a periodically modulated Bose gas
- Realizing multiband states with ultracold dipolar quantum simulators
- Variational Bose-Hubbard model revisited
- Superfluid-Mott-insulator transition in superconducting circuits with weak anharmonicity
- Classical and Quantum Gases on a Semiregular Mesh
- Reentrant transition of bosons in a quasiperiodic potential
- Optical signatures of Mott-superfluid transition in nitrogen-vacancy centers coupled to photonic crystal cavities
- Paired phases and Bose-Einstein condensation of spin-one bosons with attractive interaction
- Quantum phase transition of light in the dissipative Rabi-Hubbard lattice: A dressed-master-equation perspective
- Quantum phase transitions in the multiphoton Jaynes-Cummings-Hubbard model
- Short-range coherence of a lattice Bose atom gas in the Mott insulating phase