scholarly journals q-deformed noncommutative cat states and their nonclassical properties

2015 ◽  
Vol 91 (4) ◽  
Author(s):  
Sanjib Dey
2000 ◽  
Vol 14 (07n08) ◽  
pp. 243-250
Author(s):  
XIAO-GUANG WANG ◽  
HONGCHEN FU

The superposition states of the λ-parameterized squeezed states are introduced and investigated. These states are intermediate states interpolating between the number and Schrödinger cat states and admit algebraic characterization in terms of su(1, 1) algebra. It is shown that these states exhibit remarkable nonclassical properties.


1995 ◽  
Vol 51 (2) ◽  
pp. 1698-1701 ◽  
Author(s):  
Christopher C. Gerry ◽  
Rainer Grobe

2017 ◽  
Vol 14 (04) ◽  
pp. 1750060 ◽  
Author(s):  
H. Fakhri ◽  
M. Sayyah-Fard

The normalized even and odd [Formula: see text]-cat states corresponding to Arik–Coon [Formula: see text]-oscillator on the noncommutative complex plane [Formula: see text] are constructed as the eigenstates of the lowering operator of a [Formula: see text]-deformed [Formula: see text] algebra with the left eigenvalues. We present the appropriate noncommutative measures in order to realize the resolution of the identity condition by the even and odd [Formula: see text]-cat states. Then, we obtain the [Formula: see text]-Bargmann–Fock realizations of the Fock representation of the [Formula: see text]-deformed [Formula: see text] algebra as well as the inner products of standard states in the [Formula: see text]-Bargmann representations of the even and odd subspaces. Also, the Euler’s formula of the [Formula: see text]-factorial and the Gaussian integrals based on the noncommutative [Formula: see text]-integration are obtained. Violation of the uncertainty relation, photon antibunching effect and sub-Poissonian photon statistics by the even and odd [Formula: see text]-cat states are considered in the cases [Formula: see text] and [Formula: see text].


2015 ◽  
Vol 30 (37) ◽  
pp. 1550198 ◽  
Author(s):  
B. Mojaveri ◽  
A. Dehghani

By using Wigner–Heisenberg algebra (WHA) and its Fock representation, even and odd Wigner negative binomial states (WNBSs) [Formula: see text] ([Formula: see text] corresponds to the ordinary even and odd negative binomial states (NBSs)) are introduced. These states can be reduced to the Wigner cat states in special limit. We establish the resolution of identity property for them through a positive definite measure on the unit disc. Some of their nonclassical properties, such as Mandel’s parameter and quadrature squeezing have been investigated numerically. We show that in contrast with the even NBSs, even WNBSs may exhibit sub-Poissonian statistics. Also squeezing in the field quadratures appears for both even and odd WNBSs. It is found that the deformation parameter [Formula: see text] plays an essential role in displaying highly nonclassical behaviors.


Optik ◽  
2020 ◽  
Vol 201 ◽  
pp. 163478 ◽  
Author(s):  
Zhongjie Wang ◽  
Yuanjie Su

2019 ◽  
Vol 53 (2) ◽  
pp. 025402 ◽  
Author(s):  
Truong Minh Duc ◽  
Dang Huu Dinh ◽  
Tran Quang Dat

2019 ◽  
Vol 1 (3) ◽  
Author(s):  
G. Pieplow ◽  
C. E. Creffield ◽  
F. Sols
Keyword(s):  

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