<i>N</i>-level Atom in a Momentum Eigenstate Interacting with an (<i>N</i>− 1) Mode Cavity Field

Abdel-Wahab, N. H.

doi:10.1238/physica.regular.071a00132

Cited by 7 publications

(3 citation statements)

References 33 publications

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“…The other extension is a multi-level atom in state of two-level system. In particular three-level atoms with constant coupling [6][7][8][9][10][11], four-level atom has been discussed [12][13][14][15][16][17][18][19][20][21][22][23][24] and five-level atom in [25][26][27][28][29][30][31][32][33] where the nonlinear interactions are considered in various conditions. The expected quantum phenomena in the JCM are many.…”

Section: Introductionmentioning

confidence: 99%

Supersymmetry as an Algebraic Approach to the Jaynes-Cumming Model with Stark Shift and Kerr-Like Medium

Farghly,

Abdal-Mubark,

Mohamed

2023

Assiut University Journal of Multidisciplinary Scientific Resea

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According to of supersymmetry which states that in the standard model, each particle has a partner with a spin that differs by half of a unit. So fermions partners are bosons and vice versa. Supersymmetry has been introduced to many one-dimensional quantum systems, radial Shrödinger equation and for the known model Jaynes-Cummings model. Since bosonic and fermionic are so related to the photon of two level-system. of course using supersymmetry theory will be beneficial. Here, supersymmetry arguments are used to derive the wave function of Jaynes-Cummings model describes a two-level system (atom) interacts with a cavity field of single mode over a multi-photon transition where a Kerr-like medium and Stark term are considered. The supersymmetric operators related to the atomic system are introduced to diagonalize the Hamiltonian with a canonical transformation technique. Also, the eigenvalues spectrum and eigenvectors are exactly given. Then, alot of physics phenomena can be investigated and supersymmetry arguments can be applied on different optical systems.

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Section: Introductionmentioning

confidence: 99%

Supersymmetry as an Algebraic Approach to the Jaynes-Cumming Model with Stark Shift and Kerr-Like Medium

Farghly,

Abdal-Mubark,

Mohamed

2023

Assiut University Journal of Multidisciplinary Scientific Resea

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“…It has different applications in quantum mechanics in the eigenstate of momentum and the state of the field being squeezed. Abdel-Wahab [38] considered the atomic system containing a moving Rubidium atom interacting with a single-mode cavity field. Moreover, the resonant case of the interaction of a moving N-level ladder type atom with cavity field of (N − 1)-mode was observed by the same author [39] and the system having a four-level ladder type atom in a momentum eigenstate interacting with a single-mode cavity field under the influence of nonlinearities of the intensity-dependent coupling [40].…”

Section: Introductionmentioning

confidence: 99%

Entanglement Dynamics of Three and Four Level Atomic System under Stark Effect and Kerr-Like Medium

et al. 2019

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We investigated numerically the dynamics of quantum Fisher information (QFI) and entanglement for three-and four-level atomic systems interacting with a coherent field under the effect of Stark shift and Kerr medium. It was observed that the Stark shift and Kerr-like medium play a prominent role during the time evolution of the quantum systems. The non-linear Kerr medium has a stronger effect on the dynamics of QFI as compared to the quantum entanglement (QE). QFI is heavily suppressed by increasing the value of Kerr parameter. This behavior was found comparable in the cases of three-and four-level atomic systems coupled with a non-linear Kerr medium. However, QFI and quantum entanglement (QE) maintain their periodic nature under atomic motion. On the other hand, the local maximum value of QFI and von Neumann entropy (VNE) decrease gradually under the Stark effect. Moreover, no prominent difference in the behavior of QFI and QE was observed for three-and four-level atoms while increasing the value of Stark parameter. However, three-and four-level atomic systems were found equally prone to the non-linear Kerr medium and Stark effect. Furthermore, three-and four-level atomic systems were found fully prone to the Kerr-like medium and Stark effect. and quantum information theory. Quantum entanglement (QE) was first studied by Schrodinge [9,10] as a basic phenomenon of quantum mechanics and it has no similarity with classical approach [11]. On the other hand, quantum correlations are used to calculate the quantum states of complex systems. The correlations of complex systems do not depend on the spatial separation of components, so the system behaves as a single system. Schrodinger explained that the information of different parts of the system would not contain the complete information of the whole system [11]. Thus, quantum correlations are the result of the quantum measurements that explain the solution and information of different physical systems such as Bell inequalities [12,13] and confirm the experimental segment of the spooky action at a distance. During the last few years, due to the extensive progress in the field of quantum information processing (QIP), the new field of quantum metrology has become important and prominent [14,15]. The importance of QE in a different process has led to the investigation of larger dimensional quantum systems and has shown an important and significant role in quantum systems of many particles [16]. Since the quantum systems are not completely closed, the dynamical response is observed when the system loses coherence due to interaction with the environment. During the interaction of a quantum system with the environment, the dynamics of the system behave as an open system. Hence, the study of the dynamics of different physical quantities, during the interaction between complex quantum systems and the environment, becomes very attractive and interesting. This interaction causes a quantum noise that creates fluctuations such as decoherence and dissipative dynamics that are not r...

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“…These observations are considered when the atom is initially prepared in the eigenstate of momentum and the state of the field is squeezed. The atomic system containing a moving Rubidium atom interacting with cavity field of single mode is investigated [37]. Furthermore, the resonant case of the interaction of a moving N-level ladder type atom with cavity field of (N-1)-mode is observed [38].…”

Section: Introductionmentioning

confidence: 99%

Stark and Kerr Effects on the Dynamics of Moving N-Level Atomic System

Anwar¹,

Ramzan²,

Usman³

et al. 2019

JQIS

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We have investigated numerically the dynamics of quantum Fisher information (QFI) and quantum entanglement (QE) for N-level atomic system interacting with a coherent field in the presence of Kerr (linear and non-linear medium) and Stark effects. It is observed that the Stark and Kerr effects play a prominent role during the time evolution of the quantum system. The evolving quantum Fisher information (QFI) is noted as time grows under the non-linear Kerr medium contrary to the QE for higher dimensional systems. The effect of non-linear Kerr medium is greater on the QE as we increase the value of Kerr parameter. However, QFI and QE maintain their periodic nature under atomic motion. On the other hand, linear Kerr medium has no prominent effects on the dynamics of N-level atomic system. Furthermore, it has been observed that QFI and QE decay soon under the influence of Stark effect. In short, the N-level atomic system is found prone to the change of the Kerr medium and Stark effect for higher dimensional systems.

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N-level Atom in a Momentum Eigenstate Interacting with an (N− 1) Mode Cavity Field

Cited by 7 publications

References 33 publications

Supersymmetry as an Algebraic Approach to the Jaynes-Cumming Model with Stark Shift and Kerr-Like Medium

Supersymmetry as an Algebraic Approach to the Jaynes-Cumming Model with Stark Shift and Kerr-Like Medium

Entanglement Dynamics of Three and Four Level Atomic System under Stark Effect and Kerr-Like Medium

Stark and Kerr Effects on the Dynamics of Moving N-Level Atomic System

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