Phase properties of Schrödinger cat states of light decaying in phase-sensitive reservoirs

Bužek, Vladimír; Gantsog, Ts.; Kim, M S

doi:10.1088/0031-8949/1993/t48/021

Cited by 18 publications

(7 citation statements)

References 81 publications

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“…2(a) one can see that P (Θ 1 ) exhibits two-peak structure for both collapse time (with two maxima around Θ 1 ≃ ±2π/3) and secondary-revival time (with two maxima around Θ 1 ≃ ±π/2), however, those of the latter are border and shorter than those of the former. In fact such behavior (, i.e., the occurrence of the two-peak structure in the phase distribution) is quite similar to that of the even (odd) coherent states [43]. Furthermore, this behavior is representative to the standard JCM indicating generation of the cat states.…”

Section: B Phase Distributionsupporting

confidence: 57%

Quantum phase properties of two-mode Jaynes–Cummings model for Schrödinger-cat states: interference and entanglement

El-Orany

Mahran

Wahiddin

et al. 2004

Optics Communications

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In this paper we investigate the quantum phase properties for the coherent superposition states (Schrödinger-cat states) for two-mode multiphoton Jaynes-Cummings model in the framework of the Pegg-Barnett formalism. We also demonstrate the behavior of the Wigner (W ) function at the phase space origin. We obtain many interesting results such as there is a clear relationship between the revival-collapse phenomenon occurring in the atomic inversion (as well as in the evolution of the W function) and the behavior of the phase distribution of both the single-mode and two-mode cases. Furthermore, we find that the phase variances of the single-mode case can exhibit revival-collapse phenomenon about the long-time behavior.We show that such behavior occurs for interaction time several times smaller than that of the single-mode Jaynes-Cummings model.

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Section: B Phase Distributionsupporting

confidence: 57%

Quantum phase properties of two-mode Jaynes–Cummings model for Schrödinger-cat states: interference and entanglement

El-Orany

Mahran

Wahiddin

et al. 2004

Optics Communications

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“…Actually, the phase distribution is insensitive to the interference in phase space, i.e. the phase distribution of the even, odd, Yurke-Stoler and the statistical-mixture coherent states are almost similar [34]. This leads to the fact that the phase distribution is insensitive to the values of ∆, which can change cat states to the statistical-mixture coherent states (see the discussion given in section 3 for the W function).…”

Section: Phase Distribution and Its Variancementioning

confidence: 99%

Single-mode quantum properties of the codirectional Kerr nonlinear coupler: frequency mismatch and exact solution

El-Orany

Abdalla

Peřina

2004

J. Opt. B: Quantum Semiclass. Opt.

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In this paper, we investigate the single mode quantum properties of the codirectional Kerr nonlinear coupler when the frequency mismatch is involved and a condition for an exact solution of equations of motion is fulfilled. Particularly, we investigate quadrature and principal squeezing, Wigner function, quadrature distribution, phase distribution and phase variance. We show that the quadrature squeezing and the phase variance can exhibit collapse-revival and collapse-revivalsubrevival phenomena, respectively, based on the values of the detuning parameter.Furthermore, we analytically demonstrate that the system can generate cat states, in particular, Yurke-Stoler states.

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“…For this reason, in this paper we suggest a new master equation for "isotropic" phase-number squeezing, which is much more efficient in preserving coherence of any general superposition compared to an anisotropic squeezed bath. We analyze coherence by observing the phase (quasi)probability that is marginal of the Wigner function [18][19][20]…”

Section: Introductionmentioning

confidence: 99%

Isotropic phase number squeezing and macroscopic quantum coherence

D’Ariano¹,

Fortunato²,

Tombesi³

1995

Nuov Cim B

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A new master equation performing isotropic phase-number squeezing is suggested. The phase properties of coherent superpositions are analyzed when the state evolves in presence of a bath with fluctuations squeezed in this isotropic way. We find that such a reservoir greatly improves persistence of coherence with respect to either a customary thermal bath, or to an anisotropically squeezed phase-sensitive bath.

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Phase properties of Schrödinger cat states of light decaying in phase-sensitive reservoirs

Cited by 18 publications

References 81 publications

Quantum phase properties of two-mode Jaynes–Cummings model for Schrödinger-cat states: interference and entanglement

Quantum phase properties of two-mode Jaynes–Cummings model for Schrödinger-cat states: interference and entanglement

Single-mode quantum properties of the codirectional Kerr nonlinear coupler: frequency mismatch and exact solution

Isotropic phase number squeezing and macroscopic quantum coherence

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