Dynamical decoupling induced renormalization of the non-Markovian dynamics
arXiv:quant-ph/0609222 · doi:10.1103/PhysRevA.75.062301
Abstract
In this work we develop a numerical framework to investigate the renormalization of the non-Markovian dynamics of an open quantum system to which dynamical decoupling is applied. We utilize a non-Markovian master equation which is derived from the non-Markovian quantum trajectories formalism. It contains incoherent Markovian dynamics and coherent Schrödinger dynamics as its limiting cases and is capable of capture the transition between them. We have performed comprehensive simulations for the cases in which the system is either driven by the Ornstein-Uhlenbeck noise or or is described by the spin-boson model. The renormalized dynamics under bang-bang control and continuous dynamical decoupling are simulated. Our results indicate that the renormalization of the non-Markovian dynamics depends crucially on the spectral density of the environment and the envelop of the decoupling pulses. The framework developed in this work hence provides an unified approach to investigate the efficiency of realistic decoupling pulses. This work also opens a way to further optimize the decoupling via pulse shaping.
References in corpus (22)
- Dynamical Decoupling of Open Quantum Systems
- Dynamical suppression of decoherence in two-state quantum systems
- Fault-Tolerant Quantum Dynamical Decoupling
- Non-Markovian Quantum State Diffusion
- Universal Control of Decoupled Quantum Systems
- Unification of Dynamical Decoupling and the Quantum Zeno Effect
- Symmetrizing Evolutions
- Using Parity Kicks for Decoherence Control
- Robust dynamical decoupling with bounded controls
- Qubit Disentanglement and Decoherence via Dephasing
- Non-Markovian quantum state diffusion: Perturbation approach
- Control of decoherence: analysis and comparison of three different strategies
- Phonon decoherence of quantum entanglement: Robust and fragile states
- Random decoupling schemes for quantum dynamical control and error suppression
- Dynamical suppression of 1/f noise processes in qubit systems
- Dynamical Decoupling Using Slow Pulses: Efficient Suppression of 1/f Noise
- Multipulse Control of Decoherence
- Enhanced Convergence and Robust Performance of Randomized Dynamical Decoupling
- Dynamical control of qubit coherence: Random versus deterministic schemes
- Theory of Fast Quantum Control of Exciton Dynamics in Semiconductor Quantum Dots
- Scalable design of tailored soft pulses for coherent control
- Continuous Dynamical Decoupling with Bounded Controls