Phase factors of periodically driven two-level systems

TL;DR

This paper presents a perturbative method to calculate phase factors in periodically driven two-level quantum systems, applicable to single and interacting systems, with potential use in quantum phase gate implementation.

Contribution

It introduces a stable, numerically implementable perturbative approach for phase calculation in driven two-level systems, including interactions, and explores quantum gate applications.

Findings

Method is stable for long-time evolution.

Applicable to both non-interacting and interacting systems.

Potential for implementing quantum phase gates.

Abstract

Using a perturbative solution for a periodically driven two-level quantum system, we show how to obtain phase factors for both a two-level quantum system and two two-level quantum systems non-interacting and interacting. The method is easily implemented by numerical routines and presents the advantage of being stable for long-time periods. We furthermore explore the possibility of implementing a quantum phase gate using the perturbative solution.