Proposed method for direct measurement of non-Markovian character of the qubits coupled to bosonic reservoirs

Abstract

The non-Markovianity is a recently proposed characterization of the non-Markovian behavior in an open quantum system, based on which we first present a practical idea for directly measuring the non-Markovian character of a single qubit coupled to a zero-temperature bosonic reservoir, and then extend to investigate the dynamics of two noninteracting qubits subject to two reservoirs respectively with a lower bound of non-Markovianity. Our scheme, with no need of optimization procedures and quantum state tomography, is helpful for experimental implementation.

5 pages, 2 figures; revised version accepted for publication in Phys. Rev. A

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• Foundations and Measures of Quantum Non-Markovianity
• Quantum speedup in a memory environment
• Quantifying, characterizing and controlling information flow in ultracold atomic gases
• Collision model for non-Markovian quantum dynamics
• Characterizing non-Markovianity via quantum interferometric power
• Equivalence of the measures of non-Markovianty for open two-level systems
• Quantum speed limits and the maximal rate of information production
• Optimal control of a qubit in an optical cavity
• An effective method of calculating the non-Markovianity $\mathcal{N}$ for single channel open systems
• Crossover Between Non-Markovian and Markovian Dynamics Induced by a Hierarchical Environment
• Non-unital non-Markovianity of quantum dynamics
• Probing the degree of non-Markovianity for independent and common environments
• Entanglement evolution of two qubits under noisy environments
• Quantum speed limit of a photon under non-Markovian dynamics
• Geometric quantum discord and non-Markovianity of structured reservoirs
• Non-Markovianity: initial correlations and nonlinear optical measurements
• Non-Markovian dynamics for an open two-level system without rotating wave approximation: Indivisibility versus backflow of information
• Effects of counter-rotating-wave terms on the non-Markovianity in quantum open systems
• Detecting quantum speedup in closed and open systems
• Quantum probing topological phase transitions by non-Markovianity
• Generation of entanglement density within a reservoir
• Analytical model of non-Markovian decoherence in donor-based charge quantum bits
• Non-Markovian dynamics of few emitters in a laser-driven cavity
• Efficient Scheme of Experimental Quantifying non-Markovianity in High-Dimension Systems
• Hierarchical-environment-assisted non-Markovian and its effect on thermodynamic properties