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Chinese Physics B

The dynamics of entropic uncertainty for three types of three-level atomic systems under the random telegraph noise

Xu Xiong, Mao-Fa Fang

Published Mar 11, 2020• 1 citation
Publisher

Abstract

Abstract We study the dynamics of the entropic uncertainty for three types of three-level atomic systems coupled to an environment modeled by random matrices. The results show that the entropic uncertainty in the Ξ type atomic system is lower than that in the V type atomic system which is exactly the same as that in the Λ type atomic system. In addition, the effect of relative coupling strength on entropic uncertainty is opposite in Markov region and non-Markov region, and the influence of a common environment and independent environments in Markov region and non-Markov region is also opposite. One can reduce the entropic uncertainty by decreasing relative coupling strength or placing the system in two separate environments in the Markov case. In the non-Markov case, the entropic uncertainty can be reduced by increasing the relative coupling strength or by placing the system in a common environment.

DOI
10.1088/1674-1056/ab7e9c

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Abstract We study the dynamics of the entropic uncertainty for three types of three-level atomic systems coupled to an environment modeled by random matrices. The results show that the entropic uncertainty in the Ξ type atomic system is lower than that in the V type atomic system which is exactly the same as that in the Λ type atomic system. In addition, the effect of relative coupling strength on entropic uncertainty is opposite in Markov region and non-Markov region, and the influence of a common environment and independent environments in Markov region and non-Markov region is also opposite. One can reduce the entropic uncertainty by decreasing relative coupling strength or placing the system in two separate environments in the Markov case. In the non-Markov case, the entropic uncertainty can be reduced by increasing the relative coupling strength or by placing the system in a common environment.
We study the dynamics of the entropic uncertainty for three types of three-level atomic systems coupled to an environment modeled by random matrices. The results show that the entropic uncertainty in the Ξ-type atomic system is lower than that in the V-type atomic system which is exactly the same as that in the Λ-type atomic system. In addition, the effect of relative coupling strength on entropic uncertainty is opposite in Markov region and non-Markov region, and the influence of a common environment and independent environments in Markov region and non-Markov region is also opposite. One can reduce the entropic uncertainty by decreasing relative coupling strength or placing the system in two separate environments in the Markov case. In the non-Markov case, the entropic uncertainty can be reduced by increasing the relative coupling strength or by placing the system in a common environment.
We study the dynamics of quantum memory assist entropy uncertainty for qutrit system coupled to an environment modeled by random matrices. The results show that the effect of relative coupling strength on entropy uncertainty is opposite in Markov region and non-Markov region, and the influence of a common environment and independent environments in Markov region and non-Markov region is also opposite. One can reduce the entropy uncertainty by decreasing relative coupling strength or puting the system in two separate environments in the Markov case. In the non-Markov case, the entropy uncertainty can be reduced by increasing the relative coupling strength or by placing the system in a common environment.
The quantum entropic uncertainty relation and entanglement witness in the two-atom system coupling with the non-Markovian environments are studied by the time-convolutionless master-equation approach. The influence of non-Markovian effect and detuning on the lower bound of the quantum entropic uncertainty relation and entanglement witness is discussed in detail. The results show that, only if the two non-Markovian reservoirs are identical, increasing detuning and non-Markovian effect can reduce the lower bound of the entropic uncertainty relation, lengthen the time region during which the entanglement can be witnessed, and effectively protect the entanglement region witnessed by the lower bound of the entropic uncertainty relation. The results can be applied in quantum measurement, quantum cryptography task and quantum information processing.
The uncertainty principle is a remarkable and fundamental feature in quantum mechanics that suggests a significant lower bound to predict the results of arbitrary incompatible observables measured on a particle. In this work, we study the dynamics of a tripartite entropic uncertainty bound and quantum fidelity in a three non-interacting qubits model initially prepared in a maximally entangled pure Greenberger–Horne–Zeilinger state and then subjected to classical environmental noise in different and common environments. Interestingly, we find that the dynamics of the tripartite uncertainty bound and fidelity are strongly affected by the type of system–environment interaction, and the growth speed of the uncertainty bound is strongly influenced by the disorder of the environment. Explicitly, our results show that the uncertainty bound and fidelity can be improved when the qubits are coupled to the noise in a common environment.
Abstract Quantum objects are susceptible to noise from their surrounding environments, interaction with which inevitably gives rise to quantum decoherence or dissipation effects. In this work, we examine how different types of local noise under an open system affect entropic uncertainty relations for two incompatible measurements. Explicitly, we observe the dynamics of the entropic uncertainty in the presence of quantum memory under two canonical categories of noisy environments: unital (phase flip) and nonunital (amplitude damping). Our study shows that the measurement uncertainty exhibits a non-monotonic dynamical behavior—that is, the amount of the uncertainty will first inflate, and subsequently decrease, with the growth of decoherence strengths in the two channels. In contrast, the uncertainty decreases monotonically with the growth of the purity of the initial state shared in prior. In order to reduce the measurement uncertainty in noisy environments, we put forward a remarkably effective strategy to steer the magnitude of uncertainty by means of a local non-unitary operation (i.e. weak measurement) on the qubit of interest. It turns out that this non-unitary operation can greatly reduce the entropic uncertainty, upon tuning the operation strength. Our investigations might thereby offer an insight into the dynamics and steering of entropic uncertainty in open systems.
Abstract Under the large detuning conditions, a three-level atom in Λ-type configuration reduced to an effective two-level system has been investigated by Shahriar and Hemmer (1990 Phys. Rev. Lett. 65 1865). By introducing unbalanced gain and loss, we in detail investigate the behaviors of entropic uncertainty relation (EUR) in an effective two-level non-Hermitian system. Compared with the dynamics governed by a Hermitian Hamiltonian, we find the EUR in non-Hermitian system is well defined based on the exceptional points of the effective non-Hermitian system, and displays two distinct behaviors. More specifically, when systems possess an exceptional point above which the EUR undergoes an oscillatory behavior, while below which the EUR increases asymptotically to a finite constant value.