Dynamics of a nonlinear time-dependent two two-level atoms in a two-mode cavity

2020 ◽  
Vol 18 (03) ◽  
pp. 2050003
Author(s):  
S. T. Korashy ◽  
T. M. El-Shahat ◽  
N. Habiballah ◽  
H. El-Sheikh ◽  
M. Abdel-Aty
Keyword(s):  
Cross Correlation ◽  
Relative Phase ◽  
Coupling Parameter ◽  
Kerr Nonlinearity ◽  
Stark Shift ◽  
Time Dependent ◽  
Cavity Field ◽  
Atomic Inversion ◽  
Field Coupling ◽  
Superposition States

In this paper, we present some properties through two two-level atoms interacting with a two-mode quantized cavity field. We study this system in the presence of detuning parameter, Kerr nonlinearity, Stark shift, relative phase and intensity-dependent atoms-field coupling. Also, the coupling parameter is modulated to be time dependent. The exact solution of this model is given by using the Schrődinger equation when the atoms and the field are initially prepared in superposition states and coherent states, respectively. We employed the results to calculate some aspects such as linear entropy, total atomic inversion and cross-correlation function.

DYNAMICAL PROPERTIES OF MULTI-PHOTON INTERACTION BETWEEN A CAVITY FIELD AND A SINGLE-QUBIT

2013 ◽  
Vol 11 (04) ◽  
pp. 1350038 ◽  
Author(s):  
HEBA KADRY ◽  
NORDIN ZAKARIA ◽  
LEE YEN CHEONG ◽  
MAHMOUD ABDEL-ATY
Keyword(s):  
Evolution Operator ◽  
Cooper Pair ◽  
Time Dependent ◽  
Cooper Pairs ◽  
Cavity Field ◽  
Field Coupling ◽  
Single Qubit ◽  
Cooper Pair Box ◽  
The Mean ◽  
Dynamical Properties

We study the dynamical properties of a cavity field coupling to a Cooper pair box (CPB). We assumed that the CPB is prepared initially in a mixed state with a coherent state for the field. By solving the time-dependent equations using the evolution operator, it shows that mean numbers of Cooper pairs is affected by the detuning. The mean number of Cooper pairs is further enhanced by the multi-photon processes in commonly used cavity field.

QUANTUM TREATMENT OF A TIME DEPENDENT SINGLE-TRAPPED ION INTERACTING WITH A BIMODAL CAVITY FIELD

2003 ◽  
Vol 17 (31n32) ◽  
pp. 5925-5941 ◽  
Author(s):  
MAHMOUD ABDEL-ATY ◽  
A.-S. F. OBADA ◽  
M. SEBAWE ABDALLA
Keyword(s):  
Cross Correlation ◽  
Analytic Solution ◽  
Coupling Parameter ◽  
Equations Of Motion ◽  
Time Dependent ◽  
Field Interaction ◽  
Trapped Ion ◽  
Heisenberg Equations ◽  
Quantum Treatment ◽  
Heisenberg Equations Of Motion

In the present communication we consider a time dependent ion-field interaction. Here we discuss the interaction between a single trapped ion and two fields taking into account the coupling parameter to be time dependent and allowing for amplitude modulation of the laser field radiating the trapped ion. At exact resonances the analytic solution for the Heisenberg equations of motion is obtained. We examine the effect of the velocity and the acceleration on the Rabi oscillations by studying the second order correlation function. The phenomenon of squeezing for single and two fields cases is considered. The cross correlation between the fields is discussed.

scholarly journals Phase-sensitive seeded modulation instability in passive fiber resonators

2022 ◽  
Vol 5 (1) ◽  
Author(s):  
Florent Bessin ◽  
Corentin Naveau ◽  
Matteo Conforti ◽  
Alexandre Kudlinski ◽  
Pascal Szriftgiser ◽  
...  
Keyword(s):  
Relative Phase ◽  
Modulation Instability ◽  
Time Dependent ◽  
Cavity Field ◽  
Round Trip ◽  
Passive Fiber ◽  
Theoretical Investigations ◽  
Theoretical Predictions ◽  
Phase Sensitive ◽  
Pump Waves

AbstractModulation instability is one of the most ubiquitous phenomena in physics. Here we investigate the phase-sensitive properties of modulation instability with harmonic seeding in passive fiber resonators. Theoretical investigations based on the Lugiato−Lefever equation with time dependent pump and a three-wave truncation show that the dynamics of the system is sensitive to the relative phase between input signal, idler, and pump waves. The modulation instability gain can even vanish for a peculiar value of the initial relative phase. An advanced multi-heterodyne measurement technique had been developed to record the real time evolution, round-trip to round-trip, of the power and phase of the output cavity field to confirm these theoretical predictions.

A STUDY OF THE INTERACTION BETWEEN A FIVE-LEVEL ATOM AND A SINGLE-MODE CAVITY FIELD: FAN-TYPE

2011 ◽  
Vol 25 (24) ◽  
pp. 1971-1982 ◽  
Author(s):  
N. H. ABDEL-WAHAB
Keyword(s):  
Dynamical Behavior ◽  
Single Mode ◽  
Kerr Nonlinearity ◽  
Coupling Constants ◽  
Kerr Medium ◽  
Cavity Field ◽  
Atomic Inversion ◽  
Input Field ◽  
Level Atom ◽  
Single Mode Cavity

In this paper, a model describing the interaction of a five-level (85 Rb ) atom with one-mode cavity field including Kerr nonlinearity is discussed. Analytical solution for this model is presented when the atom is initially prepared in its upper state. The obtained results are then employed to examine the dynamical behavior of atomic inversion, field statistics and field squeezing when the input field is initially considered in a coherent state. It is found that the atom-field properties are influenced by the changing of the coupling constants, the detuning parameters and the Kerr medium.

scholarly journals ac Stark Shift and Dephasing of a Superconducting Qubit Strongly Coupled to a Cavity Field

2005 ◽  
Vol 94 (12) ◽  
Author(s):  
D. I. Schuster ◽  
A. Wallraff ◽  
A. Blais ◽  
L. Frunzio ◽  
R.-S. Huang ◽  
...  
Keyword(s):  
Stark Shift ◽  
Cavity Field ◽  
Superconducting Qubit ◽  
Strongly Coupled

scholarly journals Precise Radial Velocity Measurements with a Cassegrain Spectrograph, I: Wavelength calibration

1999 ◽  
Vol 170 ◽  
pp. 63-67
Author(s):  
I. V. Ilyin ◽  
R. Duemmler
Keyword(s):  
High Resolution ◽  
Radial Velocity ◽  
Cross Correlation ◽  
Time Dependent ◽  
Instrumental Effects ◽  
Velocity Measurements ◽  
Echelle Spectrograph ◽  
Optical Telescope ◽  
La Palma ◽  
Observational Strategy

AbstractWe briefly describe the instrumental effects which affect the accuracy of the radial velocity measurements. We have implemented several methods to correct for the instability effects and improve the accuracy of the measurements. These include modifications of the observational strategy and a time-dependent wavelength solution as well as a discussion of the error of the offset from cross-correlation. These methods are applied to observations obtained with the high resolution échelle spectrograph SOFIN mounted at the Cassegrain focus of the alt-azimuth 2.56-m Nordic Optical Telescope, La Palma, Canary Islands.

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