Fractional photon-assisted tunneling in an optical superlattice: large contribution to particle transfer
arXiv:1101.5272 · doi:10.1103/PhysRevA.83.063634
Abstract
Fractional photon-assisted tunneling is investigated both analytically and numerically for few interacting ultra-cold atoms in the double-wells of an optical superlattice. This can be realized experimentally by adding periodic shaking to an existing experimental setup [Phys. Rev. Lett. 101, 090404 (2008)]. Photon-assisted tunneling is visible in the particle transfer between the wells of the individual double wells. In order to understand the physics of the photon-assisted tunneling, an effective model based on the rotating wave approximation is introduced. The validity of this effective approach is tested for wide parameter ranges which are accessible to experiments in double-well lattices. The effective model goes well beyond previous perturbation theory approaches and is useful to investigate in particular the fractional photon-assisted tunneling resonances. Analytic results on the level of the experimentally realizable two-particle quantum dynamics show very good agreement with the numerical solution of the time-dependent Schrödinger equation. Far from being a small effect, both the one-half-photon and the one-third-photon resonance are shown to have large effects on the particle transfer.
9 pages, 11 png-figures
References in corpus (16)
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Single-Atom Resolved Fluorescence Imaging of an Atomic Mott Insulator
- Repulsively bound atom pairs in an optical lattice
- Single Particle Tunneling in Strongly Driven Double Well Potentials
- Observation of photon-assisted tunneling in optical lattices
- Exploring dynamic localization with a Bose-Einstein condensate
- Preparing and probing atomic number states with an atom interferometer
- Few-boson dynamics in double wells: From single-atom to correlated-pair tunneling
- Adiabatic Mach-Zehnder Interferometry on A Quantized Bose-Josephson Junction
- Quantum control and entanglement using periodic driving fields
- Beyond mean-field dynamics of small Bose-Hubbard systems based on the number-conserving phase space approach
- Chaos, entanglement and decoherence in the quantum kicked top
- ac-driven atomic quantum motor
- Coherent control of mesoscopic tunneling in a Bose-Einstein condensate
- Fractional photon-assisted tunneling for Bose-Einstein condensates in a double well
- Photon-assisted tunneling in optical lattices: Ballistic transport of interacting boson pairs
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- Coherent control via interplay between driving field and two-body interaction in a double well
- Quantum entanglement and drifting generated by an AC field resonant with frequency-doubled Bloch oscillations of correlated particles
- Quantum recurrence and fractional dynamic localization in ac-driven perfect state transfer Hamiltonians