Nonlinear Landau-Zener Processes in a Periodic Driving Field
arXiv:0804.4538 · doi:10.1088/1367-2630/10/7/073008
Abstract
Effects of a periodic driving field on Landau-Zener processes are studied using a nonlinear two-mode model that describes the mean-field dynamics of a many-body system. A variety of different dynamical phenomena in different parameter regimes of the driving field are discussed and analyzed. These include shifted, weakened, or enhanced phase dependence of nonlinear Landau-Zener processes, nonlinearity-enhanced population transfer in the adiabatic limit, and Hamiltonian chaos on the mean field level. The emphasis of this work is placed on how the impact of a periodic driving field on Landau-Zener processes with self-interaction differs from those without self-interaction. Aside from gaining understandings of driven nonlinear Landau-Zener processes, our findings can be used to gauge the strength of nonlinearity and for efficient manipulation of the mean-field dynamics of many-body systems.
21 pages, 9 figures, minor changes, published in New Journal of Physics
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- Photon-assisted tunneling in optical lattices: Ballistic transport of interacting boson pairs
- Butterfly Floquet Spectrum in Driven SU(2) Systems
- Breakdown of quantization in nonlinear Thouless pumping
- Generating a Fractal Butterfly Floquet Spectrum in a Class of Driven SU(2) Systems: Eigenstate Statistics
- Nonlinear Landau-Zener-Stückelberg-Majorana problem
- Autoresonant excitation of Bose-Einstein condensates
- Multiparticle Entanglement Dynamics of Quantum Chaos in a Bose-Einstein condensate
- Generating a Fractal Butterfly Floquet Spectrum in a Class of Driven SU(2) Systems
- Spatial two-particle NOON-states in periodically shaken three-well potentials
- Floquet eigenspectra of a nonlinear two-mode system under periodic driving: the emergence of "ring" structures
- Photon-induced sideband transitions in a many-body Landau-Zener process
- Tunable nonlinear Landau-Zener tunnelings in a spin-orbit-coupled spinor Bose-Einstein condensate
- On the different Floquet Hamiltonians in a periodic-driven Bose-Josephson junction
- On the quantization of AB phase in nonlinear systems