scholarly journals Generalized Binomial Probability Distributions Attached to Landau Levels on the Riemann Sphere

2011 ◽  
Vol 2011 ◽  
pp. 1-17
Author(s):  
A. Ghanmi ◽  
A. Hafoud ◽  
Z. Mouayn
Keyword(s):  
Coherent States ◽  
Riemann Sphere ◽  
Probability Distributions ◽  
Photon Number ◽  
Landau Levels ◽  
Binomial Probability ◽  
Statistical Parameters ◽  
Generalized Coherent States

A family of generalized binomial probability distributions attached to Landau levels on the Riemann sphere is introduced by constructing a kind of generalized coherent states. Their main statistical parameters are obtained explicitly. As an application, photon number statistics related to coherent states under consideration are discussed.

PROBABILITY DISTRIBUTIONS ATTACHED TO GENERALIZED BARGMANN–FOCK SPACES IN THE COMPLEX PLANE

2010 ◽  
Vol 13 (02) ◽  
pp. 257-271 ◽  
Author(s):  
ZOUHAÏR MOUAYN ◽  
AHMED TOUHAMI
Keyword(s):  
Complex Plane ◽  
Coherent States ◽  
Probability Distributions ◽  
Photon Counting ◽  
Fock Spaces ◽  
Statistical Parameters ◽  
Generalized Coherent States ◽  
Counting Statistics ◽  
Photon Counting Statistics

Probability distributions attached to generalized Bargmann–Fock spaces in the complex plane are introduced by constructing a kind of generalized coherent states. Their main statistical parameters are obtained explicitly. As application, quantum photon counting statistics related to the coherent states under consideration are discussed.

scholarly journals Generalized coherent states

2014 ◽  
Vol 82 (8) ◽  
pp. 742-748 ◽  
Author(s):  
T. G. Philbin
Keyword(s):  
Coherent States ◽  
Generalized Coherent States

Description of anharmonic effects with generalized coherent states

2004 ◽  
Vol 37 (3) ◽  
pp. 769-779 ◽  
Author(s):  
Atsushi Kuriyama ◽  
Masatoshi Yamamura ◽  
Constança Providência ◽  
João da Providência ◽  
Yasuhiko Tsue
Keyword(s):  
Coherent States ◽  
Anharmonic Effects ◽  
Generalized Coherent States

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.

scholarly journals Phase probability distributions of Roy-type even and odd nonlinear coherent states

2004 ◽  
Vol 53 (11) ◽  
pp. 3729
Author(s):  
Wang Ji-Suo ◽  
Liu Tang-Kun ◽  
Feng Jian ◽  
Sun Jin -Zuo
Keyword(s):  
Coherent States ◽  
Probability Distributions

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.

Nonclassicality of photon-modulated spin coherent states in the Holstein-Primakoff realization

2021 ◽  
Author(s):  
Xiaoyan Zhang ◽  
Jisuo Wang ◽  
Lei Wang ◽  
Xiangguo Meng ◽  
Baolong Liang
Keyword(s):  
Coherent States ◽  
Wigner Distribution ◽  
Hermite Polynomials ◽  
Photon Number ◽  
Spin Ladder ◽  
Bernoulli Distribution ◽  
Ladder Operators ◽  
Spin Number ◽  
Photon Number Distribution ◽  
Spin Coherent States

Abstract Two new photon-modulated spin coherent states (SCSs) are introduced by operating the spin ladder operators J ± on the ordinary SCS in the Holstein-Primakoff realization and the nonclassicality is exhibited via their photon number distribution, second-order correlation function, photocount distribution and negativity of Wigner distribution. Analytical results show that the photocount distribution is a Bernoulli distribution and the Wigner functions are only associated with two-variable Hermite polynomials. Compared with the ordinary SCS, the photon-modulated SCSs exhibit more stronger nonclassicality in certain regions of the photon modulated number k and spin number j, which means that the nonclassicality can be enhanced by selecting suitable parameters.

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