Quantum coherence and non-Markovianity of an atom in a dissipative cavity under weak measurement

Liu, Yu; Zou, Hong-Mei; Mao-Fa, Fang

doi:10.1088/1674-1056/27/1/010304

Cited by 19 publications

(22 citation statements)

References 25 publications

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“…Before describing our main results, we first introduce previous results (for non-Markovianity based on coherence measure that were proposed and tested very recently [44][45][46][47][48][49][50][51][52][53][54] ). The previous results can be summarized as two main approaches, and both are applicable to detecting and quantifying the non-Markovianity of incoherent open system dynamics (IOSD).…”

Section: Previous Resultsmentioning

confidence: 99%

“…Rigorous studies on the dynamical behavior of quantified coherence in non-Markovian dynamics have recently attracted considerable attention [44][45][46][47][48][49][50][51][52][53][54] . Moreover, information quantifiers based on coherence and the extended coherence with an ancilla have been proposed, for measuring the degree of non-Markovianity.…”

Section: Introductionmentioning

confidence: 99%

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Detecting non-Markovianity via quantified coherence: theory and experiments

Hou

Xiang

et al. 2020

npj Quantum Inf

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The dynamics of open quantum systems and manipulation of quantum resources are both of fundamental interest in quantum physics. Here, we investigate the relation between quantum Markovianity and coherence, providing an effective way for detecting non-Markovianity based on the quantum-incoherent relative entropy of coherence (QI REC). We theoretically show the relation between completely positive (CP) divisibility and the monotonic behavior of the QI REC. Also we implement an all-optical experiment to demonstrate that the behavior of the QI REC is coincident with the entanglement shared between the system and the ancilla for both Markovian and non-Markovian evolution; while other coherence-based non-Markovian information carriers violate monotonicity, even in Markovian processes. Moreover, both theoretically and experimentally, we show that non-Markovianity enhances the ability of creating coherence on an ancilla. This is the first experimental study of the relation between dynamical behavior of the QI REC and the phenomenon of information backflow. Our methods for detecting non-Markovianity are applicable to general quantum evolutions.

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Section: Previous Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Detecting non-Markovianity via quantified coherence: theory and experiments

Hou

Xiang

et al. 2020

npj Quantum Inf

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“…where R ij (0)(i, j = 1, 2, 3) is the density matrix element of the initial state, and A 11 11 = e − 1 2 I+ , A 12 12 = e −2iΩt e − 1 4 (I++I−) , A 13 13 = e −i(ω0+Ω)t e − 1 4 I+ , A 22 22 = e − 1 2 I− , A 23 23 = e −i(ω0−Ω)t e −…”

Section: Physical Modelmentioning

confidence: 99%

Modulating quantum Fisher information of qubit in dissipative cavity by coupling strength

Lin¹,

Liu²,

Zou³

2018

Chinese Phys. B

Self Cite

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By using the non-Markovian master equation, we investigate the effect of the cavity and the environment on the quantum Fisher information (QFI) of an atom qubit system in a dissipation cavity. We obtain the formulae of QFI for two different initial states and analyze the effect of the atom-cavity coupling and the cavity-reservoir coupling on the QFI. The results show that the dynamic behavior of the QFI is obviously dependent on the initial atomic states, the atom-cavity coupling and the cavity-reservoir coupling. The stronger the atom-cavity coupling, the quicker the QFI oscillates and the slower the QFI reduces. Especially, the QFI will tend to a stable value not zero if the atom-cavity coupling is large enough. On the other hand, the smaller the cavity-reservoir coupling, the stronger the non-Markovian effect, the slower the QFI decay. In other words, choosing the best parameter can improve the accuracy of parameter estimation. In addition, the physical explanation of the dynamic behavior of the QFI is given by means of the QFI flow.

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“…In contrast, in non-Markovian (memory-keeping) evolution, the leaked information returns to the system [1,21,22]. As a fundamental trait, non-Markovianity itself can be quantified by a variety of measures [23][24][25][26][27][28][29][30][31] and exploited as a resource for certain applications [32,33].…”

Section: Introductionmentioning

confidence: 99%

Quantum enhancement of qutrit dynamics through driving field and photonic band-gap crystal

Yousefi,

Mortezapour,

Naeimi

et al. 2022

Preprint

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A comparative study of a qutrit (three-level atomic system) coupled to a classical field in a typical Markovian reservoir (free space) and in a photonic band-gap (PBG) crystal is carried out. The aim of the study is to assess the collective impact of structured environment and classical control of the system on the dynamics of quantum coherence, non-Markovianity, and estimation of parameters which are initially encoded in the atomic state. We show that the constructive interplay of PBG material as a medium and classical driving field as a part of system results in a significant enhancement of all the quantum traits of interest, compared to the case when the driven qutrit is in a Markovian environment. Our results supply insights for preserving and enhancing quantum features in qutrit systems which are promising alternative candidates to be used in quantum processors instead of qubits.

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Quantum coherence and non-Markovianity of an atom in a dissipative cavity under weak measurement

Cited by 19 publications

References 25 publications

Detecting non-Markovianity via quantified coherence: theory and experiments

Detecting non-Markovianity via quantified coherence: theory and experiments

Modulating quantum Fisher information of qubit in dissipative cavity by coupling strength

Quantum enhancement of qutrit dynamics through driving field and photonic band-gap crystal

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