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

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Cited by in corpus (7)

• Driving Quantum System into Decoherence-free Subspaces by Lyapunov Control
• Enhancing parameter precision of optimal quantum estimation by direct quantum feedback
• Adiabatic evolution under quantum control
• Feedback control on geometric phase in dissipative two-level systems
• Stochastic optimal control formalism for an open quantum system
• Enhancing precision of damping rate by PT symmetric Hamiltonian
• Constrained Minimum-Energy Optimal Control of the Dissipative Bloch Equations