| ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS |
Prev
Next
|
|
|
Algebraic and group treatments to nonlinear displaced number statesand their nonclassicality features: A new approach |
| N Asili Firouzabadia, M K Tavassolya b, M J Faghihic |
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 |
|
|
|
|
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.
|
Received: 17 June 2014
Revised: 11 December 2014
Accepted manuscript online:
|
|
PACS:
|
42.50.Ct
|
(Quantum description of interaction of light and matter; related experiments)
|
| |
42.50.Dv
|
(Quantum state engineering and measurements)
|
| |
42.50.-p
|
(Quantum optics)
|
| |
03.65.-w
|
(Quantum mechanics)
|
|
Corresponding Authors:
M J Faghihi
E-mail: mj.faghihi@kgut.ac.ir
|
| About author: 42.50.Ct; 42.50.Dv; 42.50.-p; 03.65.-w |
Cite this article:
N Asili Firouzabadi, M K Tavassoly, M J Faghihi Algebraic and group treatments to nonlinear displaced number statesand their nonclassicality features: A new approach 2015 Chin. Phys. B 24 064204
|
| [1] |
Klauder J R and Skagerstam B S 1985 Coherent States: Applications in Physics and Mathematical Physics (Singapore: World Scientific)
|
| [2] |
Schumacher B 1996 Phys. Rev. A 54 2614
|
| [3] |
Kempe J 1999 Phys. Rev. A 60 910
|
| [4] |
Bennett C H, Shor P W, Smolin J A and Thapliyal A V 1999 Phys. Rev. Lett. 83 3081
|
| [5] |
Ali S T, Antoine J P and Gazeau J P 2000 Coherent States, Wavelets and Their Generalizations (New York: Springer)
|
| [6] |
Honarasa G R, Tavassoly M K and Hatami M 2012 Chin. Phys. B 21 054208
|
| [7] |
Tavassoly M K and Jalali H R 2013 Chin. Phys. B 22 084202
|
| [8] |
Meekhof D M, Monroe C, King B E, Itano W M and Wineland D J 1996 Phys. Rev. Lett. 76 1796
|
| [9] |
Zou X, Pahlke K and Mathis W 2002 Phys. Rev. A 65 064303
|
| [10] |
Deleglise S, Dotsenko I, Sayrin C, Bernu J, Brune M, Raimond J M and Haroche S 2008 Nature 455 510
|
| [11] |
Faghihi M J and Tavassoly M K 2013 J. Phys. B: At. Mol. Opt. Phys. 46 145506
|
| [12] |
Faghihi M J and Tavassoly M K 2013 J. Opt. Soc. Am. B 30 2810
|
| [13] |
Faghihi M J, Tavassoly M K and Bagheri Harouni M 2014 Laser Phys. 24 045202
|
| [14] |
Faghihi M J, Tavassoly M K and Hatami M 2014 Physica A 407 100
|
| [15] |
Hekmatara H and Tavassoly M K 2014 Opt. Commun. 319 121
|
| [16] |
Baghshahi H R and Tavassoly M K 2014 Phys. Scr. 89 075101
|
| [17] |
Baghshahi H R, Tavassoly M K and Behjat A 2014 Chin. Phys. B 23 074203
|
| [18] |
Baghshahi H R, Tavassoly M K and Behjat A 2014 Commun. Theor. Phys. 62 430
|
| [19] |
de Matos Filho R L and Vogel W 1996 Phys. Rev. A 54 4560
|
| [20] |
Man'ko V I, Marmo G, Sudarshan E C G and Zaccaria F 1997 Phys. Scr. 55 528
|
| [21] |
Tavassoly M K 2006 J. Phys. A: Math. Gen. 39 11583
|
| [22] |
Tavassoly M K and Parsaiean A 2007 J. Phys. A: Math. Theor. 40 9905
|
| [23] |
Tavassoly M K 2008 J. Phys. A: Math. Theor. 41 285305
|
| [24] |
Honarasa G R, Tavassoly M K and Hatami M 2009 Phys. Lett. A 373 3931
|
| [25] |
Honarasa G R, Tavassoly M K and Hatami M 2009 Opt. Commun. 282 2192
|
| [26] |
Berrada K 2014 Chin. Phys. B 23 024208
|
| [27] |
de Oliveira F A M, Kim M S, Knight P L and Buzek V 1990 Phys. Rev. A 41 2645
|
| [28] |
Schleich W and Wheeler J A 1987 J. Opt. Soc. Am. B 4 1715
|
| [29] |
Tavassoly M K 2010 Opt. Commun. 283 5081
|
| [30] |
Honarasa G R, Tavassoly M K, Hatami M and Roknizadeh R 2011 Physica A 390 1381
|
| [31] |
Safaeian O and Tavassoly M K 2011 J. Phys. A: Math. Theor. 44 225301
|
| [32] |
Faghihi M J and Tavassoly M K 2011 Commun. Theor. Phys. 56 327
|
| [33] |
Piroozi E and Tavassoly M K 2012 J. Phys. A: Math. Theor. 45 135301
|
| [34] |
Ali S T, Roknizadeh R and Tavassoly M K 2004 J. Phys. A: Math. Gen. 37 4407
|
| [35] |
Roknizadeh R and Tavassoly M K 2004 J. Phys. A: Math. Gen. 37 8111
|
| [36] |
Roknizadeh R and Tavassoly M K 2005 J. Math. Phys. 46 042110
|
| [37] |
Xu L J, Tan G B, Ma S J and Guo Q 2013 Chin. Phys. B 22 030311
|
| [38] |
de Oliveira G C, de Almeida A R, Dantas C and Moraes A M 2005 Phys. Lett. A 339 275
|
| [39] |
Roy B and Roy P 2000 J. Opt. B: Quantum Semiclas. Opt. 2 65
|
| [40] |
Gilmore R 1974 Lie Groups, Lie Algebras and Some of Their Applications (New York: John Wiley & Sons)
|
| [41] |
Nieto M M 1978 Phys. Rev. A 17 1273
|
| [42] |
Miry S R and Tavassoly M K 2012 Phys. Scr. 85 035404
|
| [43] |
Perelomov A M 1986 Generalized Coherent States and Their Applications: Modern Methods of Plant Analysis (Berlin: Springer-Verlag)
|
| [44] |
Mandel L 1979 Opt. Lett. 4 205
|
| [45] |
Wigner E 1932 Phys. Rev. 40 749
|
| [46] |
Gerry C C and Knight P L 2005 Introductory Quantum Optics (Cambridge: Cambridge University Press)
|
| [47] |
Vogel W and Welsch D G 2006 Quantum Optics (New York: John Wiley & Sons)
|
| [48] |
Meng X G, Wang J S and Liang B L 2013 Chin. Phys. B 22 030307
|
| No Suggested Reading articles found! |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
Altmetric
|
|
blogs
Facebook pages
Wikipedia page
Google+ users
|
Online attention
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
View more on Altmetrics
|
|
|
