Phase properties of the superposition of squeezed and displaced number states

El-Orany, Faisal A. A.; Peřina, Jan; Abdalla, M. Sebawe

doi:10.1088/1464-4266/2/4/314

Cited by 8 publications

(10 citation statements)

References 46 publications

(50 reference statements)

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“…For △ = 0 expression (24) indicates that when the initial intensity of the radiation field is weak the system can exhibit However for the non-parity states the locations (in the interaction time domain) of collapses and revivals occurring in W (0, T ) are interchanged compared to those in σ z (T ) . This agrees with the fact that the JCM generates Schrödinger-cat states in the course of the collapse time [12]. We proceed by investigating the behavior of the W (0, T ) for the standard JCM, i.e.…”

Section: A Investigation Of the Resultssupporting

confidence: 71%

“…Multiphoton single-mode JCM has taken a considerable interest in the literature, e.g. [9,10,11,12]. For instance, for this model the Heisenberg's equations of motion for the atomic energy operator have been exactly sloved [9].…”

mentioning

confidence: 99%

“…The analysis of the the model against superposition of squeezed displaced number states, i.e. the most general case, is given in [12]. The multimode version of the JCM has been investigated, in particular, the two-mode JCM, e.g.…”

mentioning

confidence: 99%

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Relationship between the atomic inversion and Wigner function for multimode multiphoton Jaynes–Cummings model

El-Orany¹

2004

J. Phys. A: Math. Gen.

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In this paper we consider multimode multiphoton Jaynes-Cummings model, which consists of a two-level atom, initially prepared in an excited atomic state, interacting with N modes of electromagnetic field prepared in general pure quantum states. For this system we show that under certain conditions the evolution of the Wigner function at the phase space origin provides direct information on the corresponding atomic inversion. This relation is also valid even if the system includes Kerr-like nonlinearity, Stark shift effect, different types of the initial atomic state as well as moving atom. Furthermore, based on this fact we discuss for the single-mode case the possibility of detecting the atomic inversion by means of techniques similar to those used for Wigner function.

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Section: A Investigation Of the Resultssupporting

confidence: 71%

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confidence: 99%

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Relationship between the atomic inversion and Wigner function for multimode multiphoton Jaynes–Cummings model

El-Orany¹

2004

J. Phys. A: Math. Gen.

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“…the s and j systems) is weak during this period of the interaction. It is worth reminding that the JCM can generate Schrödinger-cat states in the course of this collapse period [24]. Nevertheless, it is difficult to justify this fact for our system.…”

Section: Atomic Inversionmentioning

confidence: 90%

Variance squeezing and entanglement of theXXcentral spin model

El-Orany¹,

Abdalla²

2010

J. Phys. A: Math. Theor.

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In this paper, we study the quantum properties for a system that consists of a central atom interacting with surrounding spins through the Heisenberg XX couplings of equal strength. Employing the Heisenberg equations of motion we manage to derive an exact solution for the dynamical operators. We consider that the central atom and its surroundings are initially prepared in the excited state and in the coherent spin state, respectively. For this system, we investigate the evolution of variance squeezing and entanglement. The nonclassical effects have been remarked in the behavior of all components of the system. The atomic variance can exhibit revivalcollapse phenomenon based on the value of the detuning parameter.

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“…(7) This part, i.e.ρ I , of the density matrix includes information about the quantum interference between the components of the state. On the other hand, in the number state basis (1) takes the form [21,22] |α, r, n ǫ = ∞ m=0 C m (α, r, n, ǫ)|m ,…”

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confidence: 99%

On the evolution of superposition of squeezed displaced number states with the multiphoton Jaynes Cummings model

El-Orany

Obada

2003

J. Opt. B: Quantum Semiclass. Opt.

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In this paper we discuss the quantum properties for superposition of squeezed displaced number states against multiphoton Jaynes-Cummings model (JCM). In particular, we investigate atomic inversion, photon-number distribution, purity, quadrature squeezing, Mandel Q parameter and Wigner function. We show that the quadrature squeezing for three-photon absorption case can exhibit revivals and collapses typical to those occurring in the atomic inversion for one-photon absorption case. Also we prove that for odd number absorption parameter there is a connection between the evolution of the atomic inversion and the evolution of the Wigner function at the origin in phase space. Furthermore, we show that the nonclassical states whose the Wigner functions values at the origins are negative will be always nonclassical when they are evolving through the JCM with even absorption parameter.Also we demonstrate that various types of cat states can be generated via this system.

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Phase properties of the superposition of squeezed and displaced number states

Abstract: The phase properties of superposition of squeezed and displaced number states are examined in the framework of Pegg-Barnett formalism. Moreover, amplitude squeezing and phase squeezing are discussed. PACS numbers: 42.50Dv,42.60.Gd

Cited by 8 publications

References 46 publications

Relationship between the atomic inversion and Wigner function for multimode multiphoton Jaynes–Cummings model

Relationship between the atomic inversion and Wigner function for multimode multiphoton Jaynes–Cummings model

Variance squeezing and entanglement of theXXcentral spin model

On the evolution of superposition of squeezed displaced number states with the multiphoton Jaynes Cummings model

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