Time-minimal control of dissipative two-level quantum systems: The Integrable case

TL;DR

This paper applies geometric optimal control techniques to determine the shortest time control strategies for dissipative two-level quantum systems described by the Lindblad equation, focusing on integrable cases.

Contribution

It introduces a novel analysis of time-minimal control in dissipative quantum systems using geometric methods, specifically for integrable Hamiltonian cases.

Findings

Derived conditions for time-optimal control in dissipative quantum systems.

Identified integrable cases where control strategies can be explicitly characterized.

Enhanced understanding of control limits in quantum dissipative dynamics.

Abstract

The objective of this article is to apply recent developments in geometric optimal control to analyze the time minimum control problem of dissipative two-level quantum systems whose dynamics is governed by the Lindblad equation. We focus our analysis on the case where the extremal Hamiltonian is integrable.