Trajectory tracking for non-Markovian quantum systems

Abstract

We propose a systematic scheme to engineer quantum states of a quantum system governed by a time-convolutionless non-Markovian master equation. According to the idea of reverse engineering, the general algebraic equation to determine the control parameters, such as coherent and incoherent control fields, is presented. Without artificially engineering the time-dependent decay rates and retaining the environment-induced Lamb shifts, the quantum state can still be transferred into the target state in a finite period of time along an arbitrary designed trajectory strictly in Hilbert space. As an application, we apply our scheme to a driven two-level non-Markovian system and realize instantaneous-steady-state tracking and a complete population inversion with control parameters which are available in experimental settings.

Published version

References in corpus (10)

• Shortcut to adiabatic passage in two and three level atoms
• A note on symmetry reductions of the Lindblad equation: transport in constrained open spin chains
• Teaching the Environment to Control Quantum Systems
• Master equation for a quantum particle in a gas
• Optimal Decoherence Control in non-Markovian Open, Dissipative Quantum Systems
• Controllability of open quantum systems with Kraus-map dynamics
• Time-convolutionless master equation for mesoscopic electron-phonon systems
• Incoherent qubit control using the quantum Zeno effect
• Exact non-Markovian master equation for a driven damped two-level system
• Engineering of Quantum State by Time-Dependent Decoherence-Free Subspaces