Atoms in double-delta-kicked periodic potentials: chaos with long-range correlations
arXiv:physics/0405046 · doi:10.1103/PhysRevLett.93.223002
Abstract
We report an experimental and theoretical study of the dynamics of cold atoms subjected to closely-spaced pairs of pulses in an optical lattice. The experiments show the interplay between fully coherent quantum dynamics and a novel momentum-diffusion regime: for all previously-studied delta-kicked systems, chaotic classical dynamics shows diffusion with short-time (2 or 3-kick) correlations; here, chaotic diffusion combines with new types of long-ranged 'global' correlations, between all kick-pairs, which control transport through trapping regions in phase-space. Analytical formulae are presented and, with quantum localization, are used to analyse the experiments.
5 pages, 3 figures, typo corrected
References in corpus (2)
Cited by in corpus (40)
- Quantized Adiabatic Transport in Momentum Space
- Topological Effects in Chiral Symmetric Driven Systems
- Floquet topological phases in a spin-1/2 double kicked rotor
- Proposal of a Cold-atom Realization of Quantum Maps with Hofstadter's Butterfly Spectrum
- Non-Hermitian Floquet topological phases in the double-kicked rotor
- Entanglement and dynamics of spin-chains in periodically-pulsed magnetic fields: accelerator modes
- Chaotic ratchet dynamics with cold atoms in a pair of pulsed optical lattices
- Kicked-Harper model vs On-Resonance Double Kicked Rotor Model: From Spectral Difference to Topological Equivalence
- Quantum Ratchet Accelerator without a Bichromatic Lattice Potential
- Theory of dissipative chaotic atomic transport in an optical lattice
- -Kicked Quantum Rotors: Localization and `Critical' Statistics
- Long-lasting Exponential Spreading in Periodically Driven Quantum Systems
- Kicked rotor quantum resonances in position space
- Ehrenfest time in the weak dynamical localization
- Quantum random walks using quantum accelerator modes
- Dynamical instability in kicked Bose-Einstein condensates: Bogoliubov resonances
- Chaotic quantum ratchets and filters with cold atoms in optical lattices: properties of Floquet states
- Theory of 2-kicked Quantum Rotors
- Generating a Fractal Butterfly Floquet Spectrum in a Class of Driven SU(2) Systems: Eigenstate Statistics
- Directed deterministic classical transport: symmetry breaking and beyond
- Exponential Quantum Spreading in a Class of Kicked Rotor Systems near High-Order Resonances
- Spectral Relationships Between Kicked Harper and On-Resonance Double Kicked Rotor Operators
- Complex dynamics of nano-mechanical membrane in cavity optomechanics
- Topological properties of a periodically driven Creutz ladder
- Fractional -scaling for quantum kicked rotors without cantori
- Classical diffusion in double-delta-kicked particles
- Floquet higher-order topological phases in momentum space
- Fractional resonances in the atom-optical delta-kicked accelerator
- Classical and Quantum Transport in One-Dimensional Periodically Kicked Systems
- Is it possible to observe experimentally a metal-insulator transition in ultra cold atoms?
- Classical diffusive dynamics for the quasiperiodic kicked rotor
- Floquet states of kicked particle in a singular potential: Exponential and power-law profiles
- Non-monotonic diffusion rates in atom-optics Lévy kicked rotor
- Shifting the boundaries: pulse-shape effects in the atom-optics kicked rotor
- Superballistic wavepacket spreading in double kicked rotors
- Doubly excited ferromagnetic spin-chain as a pair of coupled kicked rotors
- Kicked-rotor quantum resonances in position space: Application to situations of experimental interest
- Staggered-Ladder Quasienergy Spectra for Generic Quasimomentum and Quantum-Dynamical Manifestations
- Classical and quantum anomalous diffusion in a system of 2-kicked Quantum Rotors
- Quantum Properties of Double Kicked Systems with Classical Translational Invariance in Momentum