Effect of feedback on the control of a two-level dissipative quantum system

Abstract

We show that it is possible to modify the stationary state by a feedback control in a two-level dissipative quantum system. Based on the geometric control theory, we also analyze the effect of the feedback on the time-optimal control in the dissipative system governed by the Lindblad master equation. These effects are reflected in the function ${\Delta }_A(\vec{x})$ and ${\Delta }_B(\vec{x})$ that characterize the optimal trajectories, as well as the switching function $\Phi (t)$ and $\theta (t),$ which characterize the switching point in time for the time-optimal trajectory.

5 pages, 5 figures

References in corpus (5)

• Stabilising entanglement by quantum jump-based feedback
• Teaching the Environment to Control Quantum Systems
• Time-optimal control of a two-level dissipative quantum system
• Dissipative "Groups" and the Bloch Ball
• Relaxation to equilibrium driven via indirect control in Markovian dynamics

Cited by in corpus (1)

• Feedback control on geometric phase in dissipative two-level systems