Please wait a minute...
Chin. Phys. B, 2013, Vol. 22(9): 090303    DOI: 10.1088/1674-1056/22/9/090303
GENERAL Prev   Next  

Detaching two single-mode squeezing operators from the two-mode squeezing operator

Fan Hong-Yi, Da Cheng
Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026, China
Abstract  It has been common knowledge that the single-mode squeezing operator and the two-mode squeezing operator are independent of each other. However, in this work we find that after using the technique of integration within Q-ordering and P-ordering, we can detach two single-mode squeezing operators from the two-mode squeezing operator. In other words, we show that the two-mode squeezing operator can be split into a P-ordered two-mode squeezing operator (with a new squeezing parameter) and two single-mode squeezing operators (with another squeezing parameter). This tells us that the two-mode squeezing mechanism also involves some single-mode squeezing.
Keywords:  Q-ordering and P-ordering      single-mode and two-mode squeezing operators      detaching     
Received:  02 February 2013      Published:  26 July 2013
PACS:  03.65.-w (Quantum mechanics)  
  42.50.-p (Quantum optics)  
Fund: Project supported by the Fundamental Research Funds for the Central Universities of China (Grant No. WK2060140013).
Corresponding Authors:  Da Cheng     E-mail:  dacheng@ustc.edu

Cite this article: 

Fan Hong-Yi, Da Cheng Detaching two single-mode squeezing operators from the two-mode squeezing operator 2013 Chin. Phys. B 22 090303

[1] Dirac P A M 1930 The Principles of Quantum Mechanics (Oxford: Clarendon Press)
[2] Fan H Y 2012 Sci. China Phys. Mech. 55 762
[3] Loudon R and Knight P L 1987 J. Mod. Opt. 34 709
[4] Zhou N R, Hu L Y and Fan H Y 2011 Chin. Phys. B 20 120301
[5] Fan H Y 2012 Representation and Transformation Theory in Quantum Mechanics-Progress of Dirac’s Symbolic Method (2nd edn.) (Hefei: USTC Press)
[1] Damping of displaced chaotic light field in amplitude dissipation channel
Ke Zhang, Lan-Lan Li, Hong-Yi Fan. Chin. Phys. B, 2020, 29(10): 100302.
[2] Ordered product expansions of operators (AB)±m with arbitrary positive integer
Shi-Min Xu, Yu-Shan Li, Xing-Lei Xu, Lei Wang, Ji-Suo Wang. Chin. Phys. B, 2020, 29(10): 100301.
[3] Effects of postselected von Neumann measurement on the properties of single-mode radiation fields
Yusuf Turek. Chin. Phys. B, 2020, 29(9): 090302.
[4] Approximate solution to the time-dependent Kratzer plus screened Coulomb potential in the Feinberg-Horodecki equation
Mahmoud Farout, Ramazan Sever, Sameer M. Ikhdair. Chin. Phys. B, 2020, 29(6): 060303.
[5] Margolus-Levitin speed limit across quantum to classical regimes based on trace distance
Shao-Xiong Wu, Chang-Shui Yu. Chin. Phys. B, 2020, 29(5): 050302.
[6] Quantum legitimacy of reversible gate and a new design of multiplier based on R gate
Tingyu Ge, Tinggui Zhang, Xiaofen Huang. Chin. Phys. B, 2020, 29(5): 050305.
[7] Fast achievement of quantum state transfer and distributed quantum entanglement by dressed states
Liang Tian, Li-Li Sun, Xiao-Yu Zhu, Xue-Ke Song, Lei-Lei Yan, Er-Jun Liang, Shi-Lei Su, Mang Feng. Chin. Phys. B, 2020, 29(5): 050306.
[8] Recast combination functions of coordinate and momentum operators into their ordered product forms
Lei Wang, Xiang-Guo Meng, Ji-Suo Wang. Chin. Phys. B, 2020, 29(5): 050303.
[9] Experimental demonstration of tight duality relation inthree-path interferometer
Zhi-Jin Ke, Yu Meng, Yi-Tao Wang, Shang Yu, Wei Liu, Zhi-Peng Li, Hang Wang, Qiang Li, Jin-Shi Xu, Jian-Shun Tang, Chuan-Feng Li, Guang-Can Guo. Chin. Phys. B, 2020, 29(5): 050307.
[10] Topology and ferroelectricity in group-V monolayers
Mutee Ur Rehman, Chenqiang Hua, Yunhao Lu. Chin. Phys. B, 2020, 29(5): 057304.
[11] Optical complex integration-transform for deriving complex fractional squeezing operator
Ke Zhang, Cheng-Yu Fan, Hong-Yi Fan. Chin. Phys. B, 2020, 29(3): 030306.
[12] Applicability of coupling strength estimation for linear chains of restricted access
He Feng, Tian-Min Yan, Yuhai Jiang. Chin. Phys. B, 2020, 29(3): 030305.
[13] Quantifying non-classical correlations under thermal effects in a double cavity optomechanical system
Mohamed Amazioug, Larbi Jebli, Mostafa Nassik, Nabil Habiballah. Chin. Phys. B, 2020, 29(2): 020304.
[14] Finite-dimensional pair coherent state engendered via the nonlinear Bose operator realization and its Wigner phase-space distributions
Jianming Liu, Xiangguo Meng. Chin. Phys. B, 2019, 28(12): 124206.
[15] Quantum search for unknown number of target items by hybridizing fixed-point method with trail-and-error method
Tan Li, Shuo Zhang, Xiang-Qun Fu, Xiang Wang, Yang Wang, Jie Lin, Wan-Su Bao. Chin. Phys. B, 2019, 28(12): 120301.
No Suggested Reading articles found!