Generic Quantum Ratchet Accelerator with Full Classical Chaos

Abstract

A simple model of quantum ratchet transport that can generate unbounded linear acceleration of the quantum ratchet current is proposed, with the underlying classical dynamics fully chaotic. The results demonstrate that generic acceleration of quantum ratchet transport can occur with any type of classical phase space structure. The quantum ratchet transport with full classical chaos is also shown to be very robust to noise due to the large linear acceleration afforded by the quantum dynamics. One possible experiment allowing observation of these predictions is suggested.

4 pages, 4 figures

References in corpus (9)

• Brownian motors: noisy transport far from equilibrium
• Driven quantum transport on the nanoscale
• Classical and Quantum Hamiltonian Ratchets
• Molecular Wires Acting as Coherent Quantum Ratchets
• Time evolution of a quantum many-body system: transition from integrability to ergodicity in thermodynamic limit
• Directed Chaotic Transport in Hamiltonian Ratchets
• Ratchet effect for cold atoms in an optical lattice
• Quantum ratchets in dissipative chaotic systems
• Directed anomalous diffusion without a biased field: A ratchet accelerator

Cited by in corpus (35)

• Artificial Brownian motors: Controlling transport on the nanoscale
• Experimental Realization of Quantum-Resonance Ratchets
• Periodically driven Quantum Ratchets: Symmetries and Resonances
• Quantized Adiabatic Transport in Momentum Space
• Rectified momentum transport for a kicked Bose-Einstein Condensate
• Directed motion for delta-kicked atoms with broken symmetries: comparison between theory and experiment
• Controlling the Ratchet Effect for Cold Atoms
• Experimental control of transport resonances in a coherent quantum rocking ratchet
• Proposal of a Cold-atom Realization of Quantum Maps with Hofstadter's Butterfly Spectrum
• Experimental Realization of a Quantum Ratchet Through Phase Modulation
• Quantum Ratchet Accelerator without a Bichromatic Lattice Potential
• Dissipationless Directed Transport in Rocked Single-Band Quantum Dynamics
• Coherent ratchets in driven Bose-Einstein condensates
• Directed momentum current induced by the PT-symmetric driving
• Hamiltonian ratchets with ultra-cold atoms
• Quantum Resonances and Ratchets in Free-Falling Frames
• Quantum Control of Ultra-cold Atoms: Uncovering a Novel Connection between Two Paradigms of Quantum Nonlinear Dynamics
• Perturbative analysis of coherent quantum ratchets in cold atom systems
• Generating a Fractal Butterfly Floquet Spectrum in a Class of Driven SU(2) Systems: Eigenstate Statistics
• Directed transport and localization in phase-modulated driven lattices
• Quantum ratchet transport with minimal dispersion rate
• Analysis of interface conversion processes of ballistic and diffusive motion in driven superlattices
• Formation of density waves via interface conversion of ballistic and diffusive motion
• Disorder-induced regular dynamics in oscillating lattices
• Chaos and Correspondence in Classical and Quantum Hamiltonian Ratchets: A Heisenberg Approach
• Statistical Approach to Quantum Chaotic Ratchets
• Quantum ratchet control - harvesting on Landau-Zener transitions
• Weak-Chaos Ratchet Accelerator
• Classical and Quantum Transport in One-Dimensional Periodically Kicked Systems
• Quantum transport and spin dynamics on shearless tori
• Transport phenomena in the asymmetric quantum multibaker map
• Dynamics of kicked particles in a double-barrier structure
• Quantum transport in a driven disordered potential: onset of directed current and noise-induced current reversal
• Classical and quantum anomalous diffusion in a system of 2$\delta$-kicked Quantum Rotors
• Experimental demonstration of photonic quantum ratchet