Effective dynamics and quantum state engineering by periodic kicks

TL;DR

This paper develops an effective Hamiltonian approach to analyze periodically driven quantum systems, revealing enhanced coupling, regime transformations, and selective state control, thus advancing quantum state engineering techniques.

Contribution

It introduces an analytical, time-independent effective Hamiltonian for long-term dynamics of kicked quantum systems, enabling new control strategies and applications.

Findings

Effective coupling can be significantly increased through periodic kicks.

Regimes in a three-level system can be transformed by modulating kick periods.

Selective suppression of excited states is achievable via large detuning regimes.

Abstract

We study the kick dynamics of periodically driven quantum systems, and provide a timeindependent effective Hamiltonian with the analytical form to reasonably describe the effective dynamics in a long timescale. It is shown that the effective coupling strength can be much larger than the coupling strength of the original system in some parameter regions, which stems from the zero time duration of kicks. Furthermore, different regimes can be transformed from and to each other in the same three-level system by only modulating the period of periodic kicks. In particular, the population of excited states can be selectively suppressed in periodic kicks, benefiting from the large detuning regime of the original system. Finally, some applications and physical implementation of periodic kicks are demonstrated in quantum systems. Those unique features would make periodic kicks becoming a powerful tool for quantum state engineering.