International Journal of Theoretical Physics

, Volume 57, Issue 9, pp 2687–2694 | Cite as

Dissipation of Two-Mode Squeezed State in Two Independent Amplitude Dissipative Channels

  • Zhan De-huiEmail author
  • Fan Hong-yi


We examine the dissipative result of a pure two-mode squeezed state passing through two independent amplitude dissipative channels described by the direct product of two independent single-mode master equations. Although these two master equations do not mix the two modes (no coupling between them), but since the two-mode squeezed state is simultaneously an entangled state, the output state emerging from the two channels is a two-mode density operator (mixed state). The exact and compact expression of the outcoming state is obtained, which manifently shows that as time evolves the squeezing effect and photon number decreases.


Two-mode squeezed pure state Entangled state representation Density operator Squeezing effect 



This work is supported by the education scientific research project of young teachers of Fujian Province(Grant No.JK2014053)and the National Natural Science Foundation of China (Grant No.11775208)and the special research of Wuyi University Young Teachers(Grant No.XQ201303).


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© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.College of Mechanic and Electronic EngineeringWuyi UniversityWuyishanChina
  2. 2.Department of Material Science and EngineeringUniversity of Science and Technology of ChinaHefeiChina

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