New Aspects of Field Entropy Squeezing as an Indicator for Mixed State Entanglement in an Effective Two-Level System with Stark Shift

2011 ◽  
Vol 28 (12) ◽  
pp. 120305 ◽  
Author(s):  
S. Abdel-Khalek ◽  
M. M. A. Ahmed ◽  
A-S F. Obada
Keyword(s):  
Mixed State ◽  
Stark Shift ◽  
Level System ◽  
Entropy Squeezing

Entropy squeezing, nonlocal correlation and purification properties of two-trap ion interaction with laser field in the presence of Stark shift effect

2019 ◽  
Vol 33 (12) ◽  
pp. 1950118
Author(s):  
Yas Al-Hadeethi ◽  
Bahaaudin M. Raffah ◽  
Nawal Almalky ◽  
E. M. Khalil
Keyword(s):  
Laser Field ◽  
Entanglement Entropy ◽  
Dynamical Behavior ◽  
Stark Shift ◽  
Entanglement Sudden Death ◽  
Entropy Squeezing ◽  
Trapped Ion ◽  
Nonlocal Correlation ◽  
Initial States ◽  
Shift Effect

In this paper, the interaction between two trap ions with laser beam and electromagnetic field containing the Stark shift terms has been investigated. The analytical solution for the differential equations which describes the system Hamiltonian is obtained. The dynamical behavior for the entanglement, entropy squeezing and purity of system are discussed. Some important physical characteristics such as revivals and collapses for the occupation of the trapped ion, entanglement sudden death (birth) and single trapped ion entropy squeezing are discussed. In addition, the influence of Lamb–Dicke parameter and the initial states on the evolution of the entanglement, linear entropy are studied. Finally, some remarks about the obtained results are given briefly.

scholarly journals Optimized control of Stark-shift-chirped rapid adiabatic passage in aΛ-type three-level system

2009 ◽  
Vol 80 (4) ◽  
Author(s):  
Johann-Heinrich Schönfeldt ◽  
Jason Twamley ◽  
Stojan Rebić
Keyword(s):  
Stark Shift ◽  
Level System ◽  
Adiabatic Passage

Entropies and Entanglement for Initial Mixed State in the Multi-quanta JC Model with the Stark Shift and Kerr-like Medium

2007 ◽  
Vol 46 (4) ◽  
pp. 1027-1044 ◽  
Author(s):  
A.-S. F. Obada ◽  
F. A. Mohammed ◽  
H. A. Hessian ◽  
A.-B. A. Mohamed
Keyword(s):  
Mixed State ◽  
Stark Shift ◽  
Jc Model

GENERATION OF A NONLINEAR TWO-MODE STARK SHIFT VIA NONDEGENERATE RAMAN TRANSITION

2007 ◽  
Vol 21 (30) ◽  
pp. 5143-5158 ◽  
Author(s):  
E. M. KHALIL
Keyword(s):  
Temporal Evolution ◽  
Stark Shift ◽  
Raman Transition ◽  
Atomic Inversion ◽  
Entropy Squeezing ◽  
Variance Squeezing ◽  
Level Atom ◽  
Quantized Electromagnetic Field ◽  
Schrödinger Picture ◽  
Careful Investigation

In this contribution, a three level atom in interaction with a two-mode quantized electromagnetic field, initially prepared in an entangled two-mode coherent state, is considered. Through the elimination of an intermediate level using the adiabatic elimination method, a nonlinear Stark shift is introduced. The exact solution of the wave function in the Schrödinger picture is obtained. Some statistical aspects through the effective two-level atom interacting with the two-mode and multiphotons processess with the nonlinear Stark shift are presented. The results are employed to perform a careful investigation of the temporal evolution of the atomic inversion, entropy squeezing and variance squeezing. It has been shown that the system is sensitive to any change in the parameter representation of the Stark shift. General conclusions reached are illustrated by numerical results.

INFORMATION ENTROPY AND SPIN-SQUEEZING IN ATOMIC THREE-LEVEL SYSTEMS

2013 ◽  
Vol 27 (22) ◽  
pp. 1350117 ◽  
Author(s):  
M. REBOIRO ◽  
O. CIVITARESE ◽  
D. TIELAS
Keyword(s):  
Coherent State ◽  
Time Dependence ◽  
Time Evolution ◽  
Information Entropy ◽  
Spin Squeezing ◽  
Atomic State ◽  
Level System ◽  
Similar Time ◽  
Entropy Squeezing ◽  
Atomic Spin

We consider the problem of an atomic three-level system in interaction with a radiation field. The time evolution of the system, in atomic ladder and Λ configurations, is solved exactly assuming a coherent-state as the initial atomic state. We calculate the atomic spin-squeezing, the atomic entropy-squeezing, and their variances. We show that the spin-squeezing and the entropy-squeezing exhibit similar time dependence.

Pancharatnam phase for the generalized Jaynes–Cummings model with a nonlinear Kerr cavity

2009 ◽  
Vol 87 (4) ◽  
pp. 389-398 ◽  
Author(s):  
M. Aouachria ◽  
L. Chetouani
Keyword(s):  
Energy Spectrum ◽  
Path Integral ◽  
Population Inversion ◽  
Stark Shift ◽  
Perturbation Series ◽  
Wave Functions ◽  
Level System ◽  
Pancharatnam Phase ◽  
Atomic Population Inversion

The formalism of path integral is used to treat the influence of Stark shift on the atomic population inversion (API) and Pancharatnam phase in the Jaynes–Cummings model with a nonlinear Kerr cavity. The propagators are given explicitly as perturbation series. In the case of a quantized wave interacting with a two-level system, these are summed up exactly, and the corresponding Pancharatnam phase as well as atomic population inversion, and energy spectrum with corresponding wave functions are deduced.

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