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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      Published:  05 October 2019
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

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