Simultaneous control of populations and coherence phase of open two-level quantum systems with a single pulse

TL;DR

This paper presents an analytical method for controlling both population and coherence phase in open two-level quantum systems using a single external pulse, accounting for environmental noise.

Contribution

It introduces a novel analytical control approach that simultaneously manages population and coherence phase in open quantum systems with a single pulse.

Findings

Analytical expression for the control field derived from specified population and phase functions.

Method accounts for dephasing and thermal noise in open quantum systems.

Controls full dynamics of population and coherence phase, not just initial and final states.

Abstract

We address the control of the dynamics of both population and coherence phase in an open two-level quantum system employing a single external control field. The system dynamics is described by a Markovian master equation that takes into account dephasing and thermal noise. The control is engineered by inverting the underlying equations of motion, which yields an analytical expression for the control field in terms of user-specified time-dependent functions for the population and coherence phase. Our approach allows to dictate not only the initial and final populations and phases, but the full dynamics of these quantities. The chosen functions for population and phase have to conform to certain constraints indicated in our analysis. Our methodology also reveals the possible transitions for given initial conditions and environmental noise parameters.