Different indicators for Markovian and non-Markovian dynamics

Anouz, K. El; Allati, A. El; Metwally, N.

doi:10.1016/j.physleta.2019.126122

Cited by 11 publications

(9 citation statements)

References 22 publications

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“…. Combining equations (21) and (22), the unified bound on the QSL for non-unitary dynamics can be formulated as…”

Section: Quantum Speed Limitmentioning

confidence: 99%

“…In the practical scenario, real quantum systems interact with their surroundings, such systems are called open quantum systems [9,10]. In recent years, the study of the QSL for open quantum systems has received much attention [11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28]. The geometric approach is usually used to obtain the desired bound for the QSL in open quantum systems.…”

Section: Introductionmentioning

confidence: 99%

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Quantum dynamical speedup for correlated initial states

Gholizadeh¹,

Hadipour²,

Haseli³

et al. 2023

Commun. Theor. Phys.

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The maximal evolution speed of any quantum system can be expressed by the quantum speed limit time. In this paper, we consider a model in which the system has a correlation with the environment. The influence of the initial correlation between the system and environment on the quantum speed limit is investigated. It is shown that the appearance of non-Markovianity effects causes the speedup of quantum evolution. Moreover, we demonstrate the dependence of quantum dynamical speedup on the quantum coherence of the correlated initial state.

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“…. Combining equations (21) and (22), the unified bound on the QSL for non-unitary dynamics can be formulated as…”

Section: Quantum Speed Limitmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Quantum dynamical speedup for correlated initial states

Gholizadeh¹,

Hadipour²,

Haseli³

et al. 2023

Commun. Theor. Phys.

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“…with ω and ω c are the bath and the environment spectrum cut-off frequencies. Using equations (2), ( 5) and (6), the non-Markovian master equation turns out to become [1,19,38] ω 0 describes the frequency-independent damping constant. Let now assume that the joint field-field system inside the cavities A and B is given by the following tensor product of coherent states as bellow: These states are expressed as [39] ⎜…”

Section: Solving the Dynamics Of A Proposed Modelmentioning

confidence: 99%

“…Moreover, Coladangelo presented an avenue for device-independent certification of maximally entangled states at arbitrary local dimension [18]. However, El Anouz et al studied the dynamics of three different open quantum systems interact with their environments using quantum Fisher information and quantum speed limit time as an indicators for Markovian and non-Markovian dynamics [19]. Furthermore, the entanglement phenomenon can be quantified by the rate of entanglement inherent in a quantum physical system by means of the so called entanglement measures, for more applications see [20][21][22][23][24][25].…”

Section: Introductionmentioning

confidence: 99%

Study different quantum teleportation amounts by solving Lindblad master equation

Anouz¹,

Abderrahim²,

Saif³

2022

Phys. Scr.

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A realizable model based on the interaction between an excited two-level atom and a radiation field inside two quantum electrodynamics cavities is proposed. It consists of sending the excited atom through two serial cavities that contain the radiation field. Thus, the Lindblad master equations which describe the evolution of the reduced density matrix regarding the radiation field generated from the excited atom inside the cavities are solved in both Markovian and non-Markovian regimes. Therefore, the rate of entanglement inherent in the total field-field system is evaluated using various witnesses by calculating analytically the concurrence and quantum discord, where we illustrate quantitatively the advantage of using an initial EPR and NOON states in the presence of radiation field losses. As an application, a scheme of quantum teleportation using two partial entangled channels is being investigated. Finally, a comparative study between fidelity and the different levels of entanglement of the teleported state in the two regimes is also given.

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“…Similar spectral function also describes a qubit, represented by a spin-1/2 system, coupled to a spin environment 49 . Such reservoir is characterized by the Lorentzian function 50 :…”

Section: Scientific Reportsmentioning

confidence: 99%

Universal non-Markovianity detection in hybrid open quantum systems

Svozilík

Hidalgo-Sacoto

Arkhipov

2020

Sci Rep

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A universal characterization of non-Markovianity for any open hybrid quantum systems is presented. This formulation is based on the negativity volume of the generalized Wigner function, which serves as an indicator of the quantum correlations in any composite quantum systems. It is shown, that the proposed measure can be utilized for any single or multi-partite quantum system, containing any discrete or continuous variables. To demonstrate its power in revealing non-Markovianity in such quantum systems, we additionally consider a few illustrative examples.

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Different indicators for Markovian and non-Markovian dynamics

Cited by 11 publications

References 22 publications

Quantum dynamical speedup for correlated initial states

Quantum dynamical speedup for correlated initial states

Study different quantum teleportation amounts by solving Lindblad master equation

Universal non-Markovianity detection in hybrid open quantum systems

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