Atomic coherence in the nonresonant Jaynes–Cummings model with thermocoherent field

Rastegar, N; Baghshahi, Hamid Reza; Mirafzali, Sayyed Yahya

doi:10.1088/1054-660x/26/11/115201

Cited by 5 publications

(2 citation statements)

References 45 publications

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“…Quantum coherence, being at the heart of interference phenomena, can be regarded as a fundamental cornerstone of quantum computation and quantum communication, and a key resource for quantum technology since it has been reported potential applications of quantum coherence in the fields of quantum optics, quantum information processing, and quantum cryptography. [ 83,84 ] Various reliable measures have been introduced to obtain the degree of quantum coherence in quantum systems. [ 85 ] In the present paper, we use the relative entropy of coherence, which is defined as [ 86 ]

\begin{matrix} true \\ right C_{RE} (\hat{ρ}) = S ({\overset{ρ}{true}}_{normaldiag}) - S (\hat{ρ}) \end{matrix}

where

S false(\overset{ρ}{true} false) = - Tr false(\overset{ρ}{true} \log \overset{ρ}{true} false)

is the von Neumann entropy and

{\hat{ρ}}_{diag}

indicates the state obtained from

\overset{ρ}{true}

by removing all off‐diagonal elements.…”

Section: Conditions For Nonclassicalitymentioning

confidence: 99%

Generalized Photon Added and Subtracted f‐Deformed Displaced Fock States

Faghihi

2020

Annalen der Physik

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In this paper, by making use of the nonlinear coherent states approach, the generalized photon added and subtracted f-deformed displaced Fock states are introduced. In other words, a natural link between photon added and subtracted displaced Fock states and nonlinear coherent states associated with nonlinear oscillator algebra is obtained. It is found that various kinds of nonclassical states can be generated by adopting appropriately controlling parameters in both linear and nonlinear regimes. Moreover, examining some of the most nonclassical properties such as Mandel's Q parameter, different types of squeezing, namely, quadrature, amplitude-squared and phase entropic squeezing, and Vogel's characteristic function, the nonclassicality features of the considered quantum states of interest are studied. Furthermore, to obtain the degree of quantum coherence, the relative entropy of coherence is investigated. Indeed, the nonclassicality aspects of the states obtained have been numerically studied to understand the roles of deformation functions, photons added and subtracted, and photon number occupied in the Fock state on physical properties. It is demonstrated that the depth and the domain of the nonclassicality features of the system can properly be controlled by selecting the suitable parameters.

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\begin{matrix} true \\ right C_{RE} (\hat{ρ}) = S ({\overset{ρ}{true}}_{normaldiag}) - S (\hat{ρ}) \end{matrix}

where

S false(\overset{ρ}{true} false) = - Tr false(\overset{ρ}{true} \log \overset{ρ}{true} false)

is the von Neumann entropy and

{\hat{ρ}}_{diag}

indicates the state obtained from

\overset{ρ}{true}

by removing all off‐diagonal elements.…”

Section: Conditions For Nonclassicalitymentioning

confidence: 99%

Generalized Photon Added and Subtracted f‐Deformed Displaced Fock States

Faghihi

2020

Annalen der Physik

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“…[15], some measures for the quantum coherence have been put forward, for example, relative entropy of coherence [15,23], l 1 -norm of coherence [15], and trace-distance measure of coherence [24]. In particular, using relative entropy of coherence, the quantum coherence was investigated in the nonresonant Jaynes-Cummings model, where the atom is initially prepared in an incoherent mixed state and the quantized field is in a thermocoherent state [25].…”

Section: Introductionmentioning

confidence: 99%

Quantum coherence, correlations and nonclassical states in the two-qubit Rabi model with parametric oscillator

Yogesh,

Maity

2021

Preprint

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Quantum coherence and quantum correlations are studied in the strongly interacting system composed of two qubits and an oscillator with the presence of a parametric medium. To analytically solve the system, we employ the adiabatic approximation approach. It assumes each qubit's characteristic frequency is substantially lower than the oscillator frequency. To validate our approximation, a good agreement between the calculated energy spectrum of the Hamiltonian with its numerical result is presented. The time evolution of the reduced density matrices of the two-qubit and the oscillator subsystems are computed from the tripartite initial state. Starting with a factorized two-qubit initial state, the quasi-periodicity in the revival and collapse phenomenon that occurs in the two-qubit population inversion is studied. Based on the measure of relative entropy of coherence, we investigate the quantum coherence and its explicit dependence on the parametric term both for the two-qubit and the individual qubit subsystems by adopting different choices of the initial states. Similarly, the existence of quantum correlations is demonstrated by studying the geometric discord and concurrence. Besides, by numerically minimizing the Hilbert-Schmidt distance, the dynamically produced near maximally entangled states are reconstructed. The reconstructed states are observed to be nearly pure generalized Bell states. Furthermore, utilizing the oscillator density matrix, the quadrature variance and phase-space distribution of the associated Husimi Q-function are computed in the minimum entropy regime and conclude that the obtained nearly pure evolved state is a squeezed coherent state.

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Quantum coherence, correlations and nonclassical states in the two-qubit Rabi model with parametric oscillator

Yogesh

Maity²

2022

Physica A: Statistical Mechanics and its Applications

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Atomic coherence in the nonresonant Jaynes–Cummings model with thermocoherent field

Cited by 5 publications

References 45 publications

Generalized Photon Added and Subtracted f‐Deformed Displaced Fock States

Generalized Photon Added and Subtracted f‐Deformed Displaced Fock States

Quantum coherence, correlations and nonclassical states in the two-qubit Rabi model with parametric oscillator

Quantum coherence, correlations and nonclassical states in the two-qubit Rabi model with parametric oscillator

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