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Chin. Phys. B, 2019, Vol. 28(10): 100301    DOI: 10.1088/1674-1056/ab3a90
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Time evolution of angular momentum coherent state derived by virtue of entangled state representation and a new binomial theorem

Ji-Suo Wang(王继锁)1, Xiang-Guo Meng(孟祥国)2, Hong-Yi Fan(范洪义)3
1 Shandong Provincial Key Laboratory of Laser Polarization and Information Technology, College of Physics and Engineering, Qufu Normal University, Qufu 273165, China;
2 Shandong Provincial Key Laboratory of Optical Communication Science and Technology, School of Physical Science and Information Engineering, Liaocheng University, Liaocheng 252059, China;
3 Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026, China
Abstract  We study how can an angular momentum coherent state |τ> keeps its form-invariant during time evolution governed by the Hamiltonian H=f(t)J++f* (t)J_+ g(t)Jz. We discuss this topic in the context of boson realization of |τ>. By employing the entangled state representation |ζ> and deriving a new binomial theorem involving two-subscript Hermite polynomials, we derive the wave function <ζ|τ>, which turns out to be a single-subscript Hermite polynomial. Based on this result the maintenance of angular momentum coherent state during time evolution is examined, and the value of τ (t) is totally determined by the parameters involved in the Hamiltonian.
Keywords:  invariance of angular momentum coherent state      entangled state representation      new binomial theorem      time evolution  
Received:  28 May 2019      Revised:  30 July 2019      Accepted manuscript online: 
PACS:  03.65.-w (Quantum mechanics)  
  03.65.Ud (Entanglement and quantum nonlocality)  
  42.50.Dv (Quantum state engineering and measurements)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11347026) and the Natural Science Foundation of Shandong Province, China (Grant Nos. ZR2016AM03 and ZR2017MA011).
Corresponding Authors:  Ji-Suo Wang     E-mail:  jswang@qfnu.edu.cn

Cite this article: 

Ji-Suo Wang(王继锁), Xiang-Guo Meng(孟祥国), Hong-Yi Fan(范洪义) Time evolution of angular momentum coherent state derived by virtue of entangled state representation and a new binomial theorem 2019 Chin. Phys. B 28 100301

[1] Glauber R J 1963 Phys. Rev. 130 2529
[2] Klauder J R and Sudarshan E C G 1968 Fundamentals of Quantum Optics (New York: Benjamin)
[3] Wang J S, Meng X G, Liang B L and Yan K Z 2016 J. Mod. Opt. 63 2367
[4] Zhou J, Fan H Y and Song J 2017 Chin. Phys. B 26 070301
[5] Radcliffe J M 1971 J. Phys. A: Math. Gen. 4 313
[6] Meng X G, Wang J S and Liang B L 2010 Chin. Phys. B 19 124205
[7] Wang J S, Meng X G and Liang B L 2010 Chin. Phys. B 19 014207
[8] Holtz R and Hanus J 1974 J. Phys. A: Math. Nucl. Gen. 7 L37
[9] Honarasa G 2017 Chin. Phys. B 26 114202
[10] Fan H Y and Klauder J R 1994 Phys. Rev. A 49 704
[11] Meng X G, Wang J S, Liang B L, and Han C X 2018 Front. Phys. 13 130322
[12] Meng X G, Wang Z, Wang J S, Fan H Y and Yang Z S 2012 J. Opt. Soc. Am. B 29 1844
[13] Meng X G, Wang J S and Liang B L 2013 Chin. Phys. B 22 030307
[14] Hu L Y, Wu J N, Liao Z Y and Zubairy M S 2016 J. Phys. B: At. Mol. Opt. Phys. 49 175504
[15] Meng X G, Wang J S, Liang B L and Du C X 2018 J. Exp. Theor. Phys. 154 NN8-9
[16] Hu L Y, Liao Z Y and Zubairy M S 2017 Phys. Rev. A 95 012310
[17] Meng X G, Wang Z, Fan H Y and Wang J S 2012 J. Opt. Soc. Am. B 29 3141
[18] Zhang R, Meng X G, Du C X and Wang J S 2012 J. Phys. Soc. Jpn. 87 024001
[19] Wang Z, Meng X G and Fan H Y 2012 J. Opt. Soc. Am. B 29 397
[20] Meng X G, Wang J S and Liang B L 2010 Opt. Commun. 283 4025
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