Quantum Ratchet Accelerator without a Bichromatic Lattice Potential
arXiv:0806.3842 · doi:10.1103/PhysRevE.78.036219
Abstract
In a quantum ratchet accelerator system, a linearly increasing directed current can be dynamically generated without using a biased field. Generic quantum ratchet acceleration with full classical chaos [Gong and Brumer, Phys. Rev. Lett. 97, 240602 (2006)] constitutes a new element of quantum chaos and an interesting violation of a sum rule of classical ratchet transport. Here we propose a simple quantum ratchet accelerator model that can also generate linearly increasing quantum current with full classical chaos. This new model does not require a bichromatic lattice potential. It is based on a variant of an on-resonance kicked-rotor system, periodically kicked by two optical lattice potentials of the same lattice constant, but with unequal amplitudes and a fixed phase shift between them. The dependence of the ratchet current acceleration rate on the system parameters is studied in detail. The cold-atom version of our new quantum ratchet accelerator model should be realizable by introducing slight modifications to current cold-atom experiments.
9 pages, 6 figures, submitted to Phys. Rev. E
References in corpus (26)
- Driven quantum transport on the nanoscale
- Classical and Quantum Hamiltonian Ratchets
- Atomic Landau-Zener tunneling in Fourier-synthesized optical lattices
- Experimental Realization of Quantum-Resonance Ratchets
- Periodically driven Quantum Ratchets: Symmetries and Resonances
- Quantum resonances and decoherence for delta-kicked atoms
- Fourier synthesis of optical potentials for atomic quantum gases
- Directed Chaotic Transport in Hamiltonian Ratchets
- Rectified momentum transport for a kicked Bose-Einstein Condensate
- Ratchet effect for cold atoms in an optical lattice
- Stable Quantum Resonances in Atom Optics
- Controlling the Ratchet Effect for Cold Atoms
- Proposal of a Cold-atom Realization of Quantum Maps with Hofstadter's Butterfly Spectrum
- Generic Quantum Ratchet Accelerator with Full Classical Chaos
- Directed anomalous diffusion without a biased field: A ratchet accelerator
- Atoms in double-delta-kicked periodic potentials: chaos with long-range correlations
- Chaotic ratchet dynamics with cold atoms in a pair of pulsed optical lattices
- General Quantum Resonances of the Kicked Particle
- -Kicked Quantum Rotors: Localization and `Critical' Statistics
- Avoided Band Crossings: Tuning Metal-Insulator Transitions in Chaotic Systems
- Current behavior of a quantum Hamiltonian ratchet in resonance
- The manifestation of quantum resonances and antiresonances in a finite temperature dilute atomic gas
- Extended Standard Map with Spatio-Temporal Asymmetry
- Theory of 2-kicked Quantum Rotors
- Fluctuations and Transients in Quantum-Resonant Evolution
- Fractional -scaling for quantum kicked rotors without cantori
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- Experimental Realization of a Quantum Ratchet Through Phase Modulation
- Kicked-Harper model vs On-Resonance Double Kicked Rotor Model: From Spectral Difference to Topological Equivalence
- Long-lasting Exponential Spreading in Periodically Driven Quantum Systems
- Directed momentum current induced by the PT-symmetric driving
- Hamiltonian ratchets with ultra-cold atoms
- Spectral Relationships Between Kicked Harper and On-Resonance Double Kicked Rotor Operators
- Quantum ratchet transport with minimal dispersion rate
- Quantum Parameter Space of Dissipative Directed Transport
- Correspondence behavior of classical and quantum dissipative directed transport via thermal noise
- Chaos and Correspondence in Classical and Quantum Hamiltonian Ratchets: A Heisenberg Approach
- Floquet higher-order topological phases in momentum space
- Statistical Approach to Quantum Chaotic Ratchets
- On the environmental stability of quantum chaotic ratchets
- Classical and Quantum Transport in One-Dimensional Periodically Kicked Systems
- Classical to quantum correspondence in dissipative directed transport
- Behavior of the current in the asymmetric quantum multibaker map
- Quantum Properties of Double Kicked Systems with Classical Translational Invariance in Momentum