Resonantly Enhanced Tunneling and Transport of Ultracold Atoms on Tilted Optical Lattices
arXiv:1106.0326 · doi:10.1103/PhysRevA.84.033638
Abstract
We investigate the resonantly enhanced tunneling dynamics of ultracold bosons loaded on a tilted 1-D optical lattice, which can be used to simulate a chain of Ising spins and associated quantum phase transitions. The center of mass motion after a sudden tilt both at commensurate and incommensurate fillings is obtained via analytic, time-dependent exact diagonalization and density matrix renormalization group methods (adaptive t-DMRG). We identify a maximum in the amplitude of the center of mass oscillations at the quantum critical point of the effective spin system. For the dynamics of incommensurate systems, which cannot be mapped to a spin model, we develop an analytical approach in which the time evolution is obtained by projecting onto resonant families of small clusters. We compare the results of this approach at low fillings to the exact time evolution and find good agreement even at filling factors as large as 2/3. Using this projection onto small clusters, we propose a controllable transport scheme applicable in the context of Atomtronic devices on optical lattices (`slinky scheme').
14 pages, 10 figures, submitted to Phys. Rev. A
References in corpus (19)
- Many-Body Physics with Ultracold Gases
- Real time evolution using the density matrix renormalization group
- Single-Atom Resolved Fluorescence Imaging of an Atomic Mott Insulator
- Quantum Simulation of Antiferromagnetic Spin Chains in an Optical Lattice
- Long-lived Bloch oscillations with bosonic Sr atoms and application to gravity measurement at micrometer scale
- Observation of photon-assisted tunneling in optical lattices
- Mott insulators in strong electric fields
- Phase diagram for a Bose-Einstein condensate moving in an optical lattice
- Interaction-controlled transport of an ultracold Fermi gas
- Coherent Delocalization of Atomic Wave Packets in Driven Lattice Potentials
- Quantum control and entanglement using periodic driving fields
- Bloch oscillations of ultracold atoms: a tool for a metrological determination of
- Time evolution of one-dimensional Quantum Many Body Systems
- Phase-slip induced dissipation in an atomic Bose-Hubbard system
- Stable Bloch oscillations of cold atoms with time-dependent interaction
- Preparation and detection of magnetic quantum phases in optical superlattices
- Quantum walks and quantum simulations with Bloch oscillating spinor atoms
- Quantum transport and localization in biased periodic structures under bi- and polychromatic driving
- Response of Bose gases in time-dependent optical superlattices
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