DYNAMICS OF A NONDEGENERATE TWO-PHOTON JAYNES–CUMMINGS MODEL

1995 ◽  
Vol 09 (11n12) ◽  
pp. 665-683 ◽  
Author(s):  
RICHARD D'SOUZA ◽  
ARUNDHATI S. JAYARAO
Keyword(s):  
Coherent States ◽  
Coherence Function ◽  
Dynamical Behavior ◽  
Photon Number ◽  
Stark Shift ◽  
Atomic Inversion ◽  
Two Photon ◽  
Different Types ◽  
Atomic Squeezing ◽  
Average Photon Number

A generalized Jaynes–Cummings model including the Stark shifts is investigated where the transition is mediated by two different modes of photons. For two different types of correlated field states, the pair coherent states and two-mode SU(1, 1) coherent states, the effect of including the Stark shift on the dynamical behavior of atomic inversion, atomic squeezing parameters, second order coherence function, and photon number distribution is investigated. Our results indicate significant changes in the behavior of these quantities for large and small average photon number <n> in the presence and absence of Stark shift and depending on the type of correlated field involved.

SUPERPOSITIONS OF SQUEEZED COHERENT STATES: PROPERTIES AND GENERATION

1999 ◽  
Vol 13 (17) ◽  
pp. 2299-2312 ◽  
Author(s):  
A.-S. F. OBADA ◽  
G. M. ABD AL-KADER
Keyword(s):  
Distribution Function ◽  
Phase Space ◽  
Coherent States ◽  
Phase Distribution ◽  
Coherence Function ◽  
Photon Number ◽  
Distribution Functions ◽  
Numerical Results ◽  
Quadrature Component ◽  
Photon Number Distribution

The s-parameterized charactristic function for the superposition of squeezed coherent states (SCS's) is given. The s-parameterized distribution functions for the superposition of SCS's are investigated. Various moments are calculated by using this charactristic function. The Glauber second-order coherence function is calculated. The photon number distribution of the superposition of SCS's studied. Analytical and numerical results for the quadrature component distributions for the superposition of a pair of SCS's are presented. The phase distribution calculated from the integration of s-parameterized distribution function over the phase space. A generation scheme is discussed.

Coherent States and Fock States at Very High Average Photon Numbers

1981 ◽  
Vol 34 (4) ◽  
pp. 357
Author(s):  
GJ Troup ◽  
HS Perlman
Keyword(s):  
Coherent State ◽  
Field Intensity ◽  
Laser Field ◽  
Coherent States ◽  
Photon Number ◽  
Constant Field ◽  
Fock States ◽  
Fock State ◽  
Very High ◽  
Average Photon Number

A laser field may be idealized as a coherent state, but it is often more convenient to use Fock states fQr quantum electrodynamical calculations. A Fock state implies fluctuations in the field intensity, aptl a constant field intensity (coherent state) implies fluctuations in the photon number. Both these effects are discussed rigorously. When the average photon number tends to infinity, these different states become asymptotically indistinguishable.

scholarly journals Einstein-Podolsky-Rosen Steering for Mixed Entangled Coherent States

Entropy ◽  
2021 ◽  
Vol 23 (11) ◽  
pp. 1442
Author(s):  
Sayed Abdel-Khalek ◽  
Kamal Berrada ◽  
Mariam Algarni ◽  
Hichem Eleuch
Keyword(s):  
Coherent States ◽  
Temporal Evolution ◽  
Bell Inequality ◽  
Dynamical Behavior ◽  
Photon Number ◽  
Einstein Podolsky Rosen ◽  
Quantum Steering ◽  
Bell Nonlocality ◽  
The Relationship ◽  
Entangled Coherent States

By using the Born Markovian master equation, we study the relationship among the Einstein–Podolsky–Rosen (EPR) steering, Bell nonlocality, and quantum entanglement of entangled coherent states (ECSs) under decoherence. We illustrate the dynamical behavior of the three types of correlations for various optical field strength regimes. In general, we find that correlation measurements begin at their maximum and decline over time. We find that quantum steering and nonlocality behave similarly in terms of photon number during dynamics. Furthermore, we discover that ECSs with steerability can violate the Bell inequality, and that not every ECS with Bell nonlocality is steerable. In the current work, without the memory stored in the environment, some of the initial states with maximal values of quantum steering, Bell nonlocality, and entanglement can provide a delayed loss of that value during temporal evolution, which is of interest to the current study.

Equation for a Composite Scalar Particle in (2+1)-D and its Solutions

1997 ◽  
Vol 12 (23) ◽  
pp. 1699-1708 ◽  
Author(s):  
S. I. Kruglov
Keyword(s):  
Wave Function ◽  
Electromagnetic Wave ◽  
Coherent States ◽  
Dimensional Space ◽  
Plane Electromagnetic Wave ◽  
Photon Number ◽  
Scalar Particle ◽  
Linearly Polarized ◽  
External Electromagnetic Fields ◽  
Quantized Electromagnetic Field

A model of a scalar particle in (2+1)-dimensional space with an internal structure in external electromagnetic fields is considered. Exact solutions of the equation for such scalar particle were obtained in the field of a plane electromagnetic wave with the arbitrary polarization and in the quantized electromagnetic field of the linearly polarized wave. The relativistic coherent states of the particle in the field of n photons were constructed. When the photon number goes to infinity, this wave function transforms to the solution corresponding to the external classical electromagnetic wave.

Homodyne-like detection scheme based on photon-number-resolving detectors

2017 ◽  
Vol 15 (08) ◽  
pp. 1740016 ◽  
Author(s):  
Alessia Allevi ◽  
Matteo Bina ◽  
Stefano Olivares ◽  
Maria Bondani
Keyword(s):  
Coherent States ◽  
Beam Splitter ◽  
Photon Number ◽  
Local Oscillator ◽  
Quantum States ◽  
Homodyne Detection ◽  
Detection Scheme ◽  
Light Signals ◽  
The Difference ◽  
Signal Field

Homodyne detection is the most effective detection scheme employed in quantum optics to characterize quantum states. It is based on mixing at a beam splitter the signal to be measured with a coherent state, called the “local oscillator,” and on evaluating the difference of the photocurrents of two photodiodes measuring the outputs of the beam splitter. If the local oscillator is much more intense than the field to be measured, the homodyne signal is proportional to the signal-field quadratures. If the local oscillator is less intense, the photodiodes can be replaced with photon-number-resolving detectors, which have a smaller dynamics but can measure the light statistics. The resulting new homodyne-like detector acquires a hybrid nature, being it capable of yielding information on both the particle-like (statistics) and wave-like (phase) properties of light signals. The scheme has been tested in the measurement of the quadratures of coherent states, bracket states and phase-averaged coherent states at different intensities of the local oscillator.

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