Nonlinearly-enhanced energy transport in many dimensional quantum chaos

TL;DR

This paper studies how nonlinearity enhances energy transport in multidimensional quantum chaos, revealing a classical correspondence and soliton wave particles through simulations and theory.

Contribution

It introduces a nonlinear quantum kicked rotor model showing how nonlinearity leads to enhanced energy transport and classical correspondence in quantum chaotic systems.

Findings

Nonlinearity induces soliton wave particles facilitating energy transport.

Classical correspondence emerges when considering nonlinearity and Anderson localization.

Enhanced energy transport occurs without quantum time reversal effects.

Abstract

By employing a nonlinear quantum kicked rotor model, we investigate the transport of energy in multidimensional quantum chaos. Parallel numerical simulations and analytic theory demonstrate that the interplay between nonlinearity and Anderson localization establishes a perfectly classical correspondence in the system, neglecting any quantum time reversal. The resulting dynamics exhibits a nonlinearly-induced, enhanced transport of energy through soliton wave particles.