Driven Bose-Hubbard Model with a Parametrically Modulated Harmonic Trap
arXiv:1612.04967 · doi:10.1103/PhysRevA.95.043604
Abstract
We investigate a one-dimensional Bose-Hubbard model in a parametrically driven global harmonic trap. The delicate interplay of both the local atom interaction and the global driving allows to control the dynamical stability of the trapped quantum many-body state. The mechanism is illustrated for weak interaction by a discretized Gross-Pitaevskii equation within a Gaussian variational ansatz, yielding to a Mathieu equation for the condensate width. The parametric resonance condition can be tuned by the atom interaction strength. For stronger interaction, this mechanism is confirmed by results of the numerically exact time-evolving block decimation scheme. The global modulation also induces an effective time-independent inhomogeneous hopping strength for the atoms.
References in corpus (14)
- Periodically-driven quantum systems: Effective Hamiltonians and engineered gauge fields
- Topological Quantum Matter with Ultracold Gases in Optical Lattices
- Dynamical control of matter-wave tunneling in periodic potentials
- Tunable gauge potential for neutral and spinless particles in driven lattices
- Nonlinear lattice dynamics as a basis for enhanced superconductivity in YBa2Cu3O6.5
- Ultracold atoms out of equilibrium
- Coherent control of dressed matter waves
- Tracking Cooper Pairs in a Cuprate Superconductor by Ultrafast Angle-Resolved Photoemission
- Floquet engineering of correlated tunneling in the Bose-Hubbard model with ultracold atoms
- Collective excitation of a Bose-Einstein condensate by modulation of the atomic scattering length
- Ultracold Lattice Gases with Periodically Modulated Interactions
- Floquet realization and signatures of one-dimensional anyons in an optical lattice
- Quantum Phase Diagram of Bosons in Optical Lattices
- Avoided level crossing spectroscopy with dressed matter waves
Cited by in corpus (4)
- Discontinuities in driven spin-boson systems due to coherent destruction of tunneling: breakdown of the Floquet-Gibbs distribution
- Understanding Floquet Resonances in Ultracold Gas Scattering
- Chirped Bloch-Harmonic oscillations in a parametrically forced optical lattice
- Noise induced transition in Josephson junction with second harmonic