Quantum Ratchet Accelerator without a Bichromatic Lattice Potential

TL;DR

This paper introduces a new quantum ratchet accelerator model that generates linearly increasing current without a bichromatic lattice, relying on a modified kicked-rotor system with two optical lattices, expanding quantum chaos understanding.

Contribution

The paper presents a simplified quantum ratchet accelerator model that does not require bichromatic potentials, broadening experimental feasibility and theoretical understanding of quantum chaos-induced transport.

Findings

The model produces linearly increasing quantum current with full classical chaos.

Current acceleration rate depends on system parameters.

Cold-atom implementation of the model is feasible.

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.