International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2575

Full Length Research Paper

Geometric phases for two-mode squeezed vacuum state

Da-Bao Yang
  • Da-Bao Yang
  • Department of Fundamental Physics, School of Science, Tianjin Polytechnic University, Tianjin 300387, People’s Republic of China.
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Ji-Xuan Hou
  • Ji-Xuan Hou
  • Department of Physics, Southeast University, Nanjing 211189, People’s Republic of China.
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  •  Received: 07 October 2015
  •  Accepted: 20 May 2016
  •  Published: 30 June 2016

Abstract

Although the geometric phase for one-mode squeezed state had been studied in detail, the counterpart for two-mode squeezed state is vacant. In this paper, we aim at the special case, namely, two-mode squeezed vacuum state. Furthermore, the total phase factor is to be written in an elegant form, which is just identical to one term of product of two squeezed operators. In addition, when this system undergoes cyclic evolutions, the corresponding geometric phase is obtained, which is the sum of the counterparts of two isolated one-mode squeezed vacuum state. Finally, the relationship between the cyclic geometric phase and entanglement of two-mode squeezed vacuum state is established.

 

Key words: Quantum optics, Geometric phases, Entanglement