On the Squeezing and Displacement of nth-Order

1997 ◽  
Vol 11 (09n10) ◽  
pp. 399-406
Author(s):  
Norton G. de Almeida ◽  
Célia M. A. Dantas
Keyword(s):  
Coherent State ◽  
Coherent States ◽  
Photon Number ◽  
Natural Generalization ◽  
Statistical Properties ◽  
Number Distribution ◽  
Quantum Statistical ◽  
Photon Number Distribution

The norder expressions for the squeezed and coherent states are derived as a natural generalization of the usual squeezed coherent and coherent states. The photon number distribution of n order of squeezed coherent states that are eigenstates of the operators [Formula: see text] is derived. The n order coherent state is a particular case of the states that we are now deriving. Some mathematical and quantum statistical properties of these states are discussed.

PHOTON-NUMBER DISTRIBUTION AND WIGNER FUNCTION OF GENERALIZED PHOTON-MODULATED COHERENT STATE

2012 ◽  
Vol 27 (06) ◽  
pp. 1250013 ◽  
Author(s):  
JUN ZHOU ◽  
SHUAI WANG ◽  
JUN SONG ◽  
HONG-YI FAN
Keyword(s):  
Coherent State ◽  
Wigner Function ◽  
Hermite Polynomials ◽  
Photon Number ◽  
Single Variable ◽  
Normalization Factor ◽  
Nonclassical Properties ◽  
Number Distribution ◽  
Quantum Statistical ◽  
Photon Number Distribution

In this paper, we present the generalized photon-modulated coherent state (GPMCS) generated by repeatedly operating the combination of Bosonic creation and annihilation operators on the coherent state. It is found that the GPMCS is a Hermite-excited coherent state and its normalization factor is related to single-variable Hermite polynomials. Furthermore, some significant quantum statistical properties of the GPMCS are investigated, such as photon-number distribution (PND) and the Wigner function (WF). We find that the WF of the GPMCS has negative values when the generalized photon-modulation exists, which implies the nonclassical properties of the GPMCS.

GENERALIZED SUPERPOSITIONS OF SQUEEZED COHERENT STATES

2001 ◽  
Vol 15 (27) ◽  
pp. 1265-1270
Author(s):  
G. M. ABD AL-KADER
Keyword(s):  
Characteristic Function ◽  
Coherent States ◽  
Photon Number ◽  
Number Distribution ◽  
Q Function ◽  
Photon Number Distribution

The superpositions of a pair of squeezed coherent states (SCS) with different squeezing parameters are defined. The characteristic function (CF) for the generalized superpositions of SCSs is given. Photon number distribution for these states is considered. The Q-function for the generalized superposition of SCSs is investigated.

scholarly journals Optimal time-resolved photon number distribution reconstruction of a cavity field by maximum likelihood

2012 ◽  
Vol 14 (11) ◽  
pp. 115007 ◽  
Author(s):  
C Sayrin ◽  
I Dotsenko ◽  
S Gleyzes ◽  
M Brune ◽  
J M Raimond ◽  
...  
Keyword(s):  
Maximum Likelihood ◽  
Photon Number ◽  
Optimal Time ◽  
Cavity Field ◽  
Time Resolved ◽  
Number Distribution ◽  
Photon Number Distribution

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.

scholarly journals Multimode thermal states with multiphoton subtraction: Study of the photon-number distribution in the selected subsystem

2020 ◽  
Vol 101 (1) ◽  
Author(s):  
K. G. Katamadze ◽  
G. V. Avosopiants ◽  
N. A. Bogdanova ◽  
Yu. I. Bogdanov ◽  
S. P. Kulik
Keyword(s):  
Photon Number ◽  
Number Distribution ◽  
Photon Number Distribution ◽  
Thermal States
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