Many-site coherence revivals in the extended Bose-Hubbard model and the Gutzwiller approximation
arXiv:1107.3077 · doi:10.1103/PhysRevA.84.063635
Abstract
We investigate the collapse and revival of first-order coherence in deep optical lattices when long-range interactions are turned on, and find that the first few revival peaks are strongly attenuated already for moderate values of the nearest-neighbor interaction coupling. It is shown that the conventionally employed Gutzwiller wavefunction, with only onsite-number dependence of the variational amplitudes, leads to incorrect predictions for the collapse and revival oscillations. We provide a modified variant of the Gutzwiller ansatz, reproducing the analytically calculated time dependence of first-order coherence in the limit of zero tunneling.
8+ε pages of RevTex4-1, 4 figures; with an appendix added, has been published in Physical Review A
References in corpus (16)
- Single-Spin Addressing in an Atomic Mott Insulator
- Quantum quenches and off-equilibrium dynamical transition in the infinite-dimensional Bose-Hubbard model
- Ultracold Dipolar Gases in Optical Lattices
- Sweeping from the superfluid to Mott phase in the Bose-Hubbard model
- Density wave and supersolid phases of correlated bosons in an optical lattice
- Extended Bose Hubbard model of interacting bosonic atoms in optical lattices: from superfluidity to density waves
- Route to supersolidity for the extended Bose-Hubbard model
- Local versus global equilibration near the bosonic Mott-superfluid transition
- Bogoliubov theory of quantum correlations in the time-dependent Bose-Hubbard model
- Collapse and revival dynamics of superfluids of ultracold atoms in optical lattices
- Atomic matter-wave revivals with definite atom number in an optical lattice
- Tunneling-induced damping of phase coherence revivals in deep optical lattices
- Collapse and revival oscillations as a probe for the tunneling amplitude in an ultra-cold Bose gas
- Creating exotic condensates via quantum-phase-revival dynamics in engineered lattice potentials
- Emergence of a new pair-coherent phase in many-body quenches of repulsive bosons
- Effect of fluctuations on the superfluid-supersolid phase transition on the lattice
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- Understanding quantum work in a quantum many-body system
- Out-of-equilibrium dynamics of multiple second-order quantum phase transitions in extended Bose-Hubbard model: Superfluid, supersolid and density wave
- Novel quantum phases of two-component bosons with pair hopping in synthetic dimension
- Fractional revivals of superposed coherent states
- Resurgent revivals in bosonic quantum gases: a striking signature of many-body quantum interferences
- Identifying strongly correlated supersolid states on the optical lattice by quench-induced π-states
- Bose-Einstein condensation in exotic lattice geometries
- Miscibility-Immiscibility transition of strongly interacting bosonic mixtures in optical lattices