Algebraic and group treatments to nonlinear displaced number statesand their nonclassicality features: A new approach

doi:10.1088/1674-1056/24/6/064204

中国物理B ›› 2015, Vol. 24 ›› Issue (6): 64204-064204.doi: 10.1088/1674-1056/24/6/064204

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇下一篇

Algebraic and group treatments to nonlinear displaced number statesand their nonclassicality features: A new approach

N Asili Firouzabadi^a, M K Tavassoly^{a b}, M J Faghihi^c

a Atomic and Molecular Group, Faculty of Physics, Yazd University, Yazd, Iran;
b The Laboratory of Quantum Information Processing, Yazd University, Yazd, Iran;
c Physics and Photonics Department, Graduate University of Advanced Technology, Mahan, Kerman, Iran

收稿日期:2014-06-17 修回日期:2014-12-11 出版日期:2015-06-05 发布日期:2015-06-05

Algebraic and group treatments to nonlinear displaced number statesand their nonclassicality features: A new approach

N Asili Firouzabadi^a, M K Tavassoly^{a b}, M J Faghihi^c

a Atomic and Molecular Group, Faculty of Physics, Yazd University, Yazd, Iran;
b The Laboratory of Quantum Information Processing, Yazd University, Yazd, Iran;
c Physics and Photonics Department, Graduate University of Advanced Technology, Mahan, Kerman, Iran

Received:2014-06-17 Revised:2014-12-11 Online:2015-06-05 Published:2015-06-05
Contact: M J Faghihi E-mail:mj.faghihi@kgut.ac.ir
About author:42.50.Ct; 42.50.Dv; 42.50.-p; 03.65.-w

摘要/Abstract

摘要： Recently, nonlinear displaced number states (NDNSs) have been manually introduced, in which the deformation function f(n) has been artificially added to the previously well-known displaced number states (DNSs). Indeed, just a simple comparison has been performed between the standard coherent state and nonlinear coherent state for the formation of NDNSs. In the present paper, after expressing enough physical motivation of our procedure, four distinct classes of NDNSs are presented by applying algebraic and group treatments. To achieve this purpose, by considering the DNSs and recalling the nonlinear coherent states formalism, the NDNSs are logically defined through an algebraic consideration. In addition, by using a particular class of Gilmore–Perelomov-type of SU(1,1) and a class of SU(2) coherent states, the NDNSs are introduced via group-theoretical approach. Then, in order to examine the nonclassical behavior of these states, sub-Poissonian statistics by evaluating Mandel parameter and Wigner quasi-probability distribution function associated with the obtained NDNSs are discussed, in detail.

关键词: displaced number state, nonlinear coherent state, Wigner function, nonclassical state

Abstract: Recently, nonlinear displaced number states (NDNSs) have been manually introduced, in which the deformation function f(n) has been artificially added to the previously well-known displaced number states (DNSs). Indeed, just a simple comparison has been performed between the standard coherent state and nonlinear coherent state for the formation of NDNSs. In the present paper, after expressing enough physical motivation of our procedure, four distinct classes of NDNSs are presented by applying algebraic and group treatments. To achieve this purpose, by considering the DNSs and recalling the nonlinear coherent states formalism, the NDNSs are logically defined through an algebraic consideration. In addition, by using a particular class of Gilmore–Perelomov-type of SU(1,1) and a class of SU(2) coherent states, the NDNSs are introduced via group-theoretical approach. Then, in order to examine the nonclassical behavior of these states, sub-Poissonian statistics by evaluating Mandel parameter and Wigner quasi-probability distribution function associated with the obtained NDNSs are discussed, in detail.

Key words: displaced number state, nonlinear coherent state, Wigner function, nonclassical state

中图分类号: (Quantum description of interaction of light and matter; related experiments)

42.50.Ct

42.50.Dv (Quantum state engineering and measurements) 42.50.-p (Quantum optics) 03.65.-w (Quantum mechanics)

N Asili Firouzabadi, M K Tavassoly, M J Faghihi. Algebraic and group treatments to nonlinear displaced number statesand their nonclassicality features: A new approach[J]. 中国物理B, 2015, 24(6): 64204-064204.

N Asili Firouzabadi, M K Tavassoly, M J Faghihi. Algebraic and group treatments to nonlinear displaced number statesand their nonclassicality features: A new approach[J]. Chin. Phys. B, 2015, 24(6): 64204-064204.

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Algebraic and group treatments to nonlinear displaced number statesand their nonclassicality features: A new approach

Algebraic and group treatments to nonlinear displaced number statesand their nonclassicality features: A new approach

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