Universal patterns in multifrequency-driven dissipative systems

TL;DR

This paper explores the universal behaviors of dissipative systems under multifrequency driving, deriving general properties from symmetry principles, illustrating with examples, and proposing quantum optical implementations.

Contribution

It introduces a unified framework for understanding multifrequency-driven dissipative systems and discusses computational methods and experimental setups.

Findings

Derived universal properties from symmetry considerations

Presented a matrix continued-fraction computational method

Proposed quantum optical implementations

Abstract

The response of dissipative systems to multi-chromatic fields exhibits generic properties which follow from the discrete time-translation symmetry of each driving component. We derive these properties and illustrate them with paradigmatic examples of classical and quantum dissipative systems. In addition, some computational aspects, in particular a matrix continued-fraction method, are discussed. Moreover, we propose possible implementations with quantum optical settings.