Trajectory tracking for non-Markovian quantum systems
arXiv:2201.00940 · doi:10.1103/PhysRevA.105.012204
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.
arXiv commentPublished version
References in corpus (34)
- Shortcut to adiabatic passage in two and three level atoms
- Coherent control of an atomic collision in a cavity
- Spectral theory of Liouvillians for dissipative phase transitions
- A note on symmetry reductions of the Lindblad equation: transport in constrained open spin chains
- General non-Markovian dynamics of open quantum systems
- Concepts of quantum non-Markovianity: a hierarchy
- Quantum control of molecular rotation
- Controlling open quantum systems: Tools, achievements, and limitations
- Stabilizing Open Quantum Systems by Markovian Reservoir Engineering
- Slow dynamics and thermodynamics of open quantum systems
- Thermodynamic uncertainty relation in slowly driven quantum heat engines
- Teaching the Environment to Control Quantum Systems
- Shortcut to Equilibration of an Open Quantum System
- 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
- Non-Markovian dynamics of a damped driven two-state system
- Shortcuts to Adiabaticity in Driven Open Quantum Systems: Balanced Gain and Loss and Non-Markovian Evolution
- Energy backflow and non-Markovian dynamics
- Time-convolutionless master equation for mesoscopic electron-phonon systems
- Incoherent qubit control using the quantum Zeno effect
- Finite-time quantum Stirling heat engine
- Markovian evolution of quantum coherence under symmetric dynamics
- Single-Photon Storing in Coupled Non-Markovian Atom-Cavity System
- Artificial quantum thermal bath: Engineering temperature for a many-body quantum system
- Dissipative engineering of Gaussian entangled states in harmonic lattices with a single-site squeezed reservoir
- Reservoir Engineering using Quantum Optimal Control for Qubit Reset
- Relaxation vs. adiabatic quantum steady state preparation: which wins?
- Pulse engineering for population control under dephasing and dissipation
- Exact non-Markovian master equation for a driven damped two-level system
- A discrete memory-kernel for multi-time correlations in non-Markovian quantum processes
- Shortcuts to adiabaticity for open quantum systems and a mixed-state inverse engineering scheme
- Recursive approach for non-Markovian time-convolutionless master equations
- Engineering of Quantum State by Time-Dependent Decoherence-Free Subspaces
Cited by in corpus (4)
- A Tutorial on Quantum Master Equations: Tips and tricks for quantum optics, quantum computing and beyond
- Physics-informed neural networks for quantum control
- Entanglement dynamics governed by time-dependent quantum generators
- Quantum optimal control in quantum technologies. Strategic report on current status, visions and goals for research in Europe