Chin. Phys. Lett.  2004, Vol. 21 Issue (1): 5-8    DOI:
Original Articles |
Measuring the Wigner Functions of Two-Mode Cavity Fields and Testing the Bell’s Inequalities
ZHANG Zhi-Ming
Department of Physics, Shanghai Jiao Tong University, Shanghai 200240 Max-Planck-Institute for Quantum Optics, Hans-Kopfermann-Str.1, D-85748 Garching, Germany
Cite this article:   
ZHANG Zhi-Ming 2004 Chin. Phys. Lett. 21 5-8
Download: PDF(329KB)  
Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks
Abstract We propose a scheme for measuring the Wigner function of a two mode cavity field. The scheme bases on the interaction between the two-mode cavity field and three-level atoms. We find a simple relation between the Wigner function and the atomic population. One can obtain the Wigner function by measuring the atomic population with a micromaser-like experiment and doing a numerical integral. By using the two-mode Wigner function one can obtain the Clauser--Horne combination and test the Bell's inequalities. We test our equations with a two-mode entanglement state and the results are rather good.

Keywords: 03.65.Ta      03.65.Wj      42.50.Dv      42.50.Ct     
Published: 01 January 2004
PACS:  03.65.Ta (Foundations of quantum mechanics; measurement theory)  
  03.65.Wj (State reconstruction, quantum tomography)  
  42.50.Dv (Quantum state engineering and measurements)  
  42.50.Ct (Quantum description of interaction of light and matter; related experiments)  
TRENDMD:   
URL:  
https://cpl.iphy.ac.cn/       OR      https://cpl.iphy.ac.cn/Y2004/V21/I1/05
Service
E-mail this article
E-mail Alert
RSS
Articles by authors
ZHANG Zhi-Ming
Related articles from Frontiers Journals
[1] LIAN Jin-Ling, ZHANG Yuan-Wei, LIANG Jiu-Qing. Macroscopic Quantum States and Quantum Phase Transition in the Dicke Model[J]. Chin. Phys. Lett., 2012, 29(6): 5-8
[2] GUO Yu, LUO Xiao-Bing. Quantum Teleportation between Two Distant Bose–Einstein Condensates[J]. Chin. Phys. Lett., 2012, 29(6): 5-8
[3] CHENG Mu-Tian,SONG Yan-Yan,YU Long-Bao**. Transmission Characteristics in a Coupled-Resonator Waveguide Interacting with a Two-Mode Nanocavity Containing a Three-Level Emitter[J]. Chin. Phys. Lett., 2012, 29(5): 5-8
[4] CHEN Peng,QIAN Jun,CHEN Dong-Yuan,HU Zheng-Feng**,WANG Yu-Zhu**. Interference of a Narrowband Biphoton with Double Electromagnetically Induced Transparency in an N-Type System[J]. Chin. Phys. Lett., 2012, 29(4): 5-8
[5] GAO Gui-Long,SONG Fu-Quan,HUANG Shou-Sheng,WANG Yan-Wei,FAN Zhi-Qiang,YUAN Xian-Zhang,JIANG Nian-Quan**. Producing and Distinguishing χ-Type Four-Qubit States in Flux Qubits[J]. Chin. Phys. Lett., 2012, 29(4): 5-8
[6] TIAN Wei, CHEN Bin, XU Wei-Dong. Controlling Single-Photon Transport along an Optical Waveguide by using a Three-Level Atom[J]. Chin. Phys. Lett., 2012, 29(3): 5-8
[7] QIN Meng, ZHAI Xiao-Yue, CHEN Xuan, LI Yan-Biao, WANG Xiao, BAI Zhong. Effect of Spin-Orbit Interaction and Input State on Quantum Discord and Teleportation of Two-Qubit Heisenberg Systems[J]. Chin. Phys. Lett., 2012, 29(3): 5-8
[8] CAO Gang, WANG Li, TU Tao, LI Hai-Ou, XIAO Ming, GUO Guo-Ping. Pulse Designed Coherent Dynamics of a Quantum Dot Charge Qubit[J]. Chin. Phys. Lett., 2012, 29(3): 5-8
[9] Ahmad Nawaz. Quantum State Tomography and Quantum Games[J]. Chin. Phys. Lett., 2012, 29(3): 5-8
[10] CAO Ming-Tao, HAN Liang, QI Yue-Rong, ZHANG Shou-Gang, GAO Hong, LI Fu-Li. Calculation of the Spin-Dependent Optical Lattice in Rubidium Bose–Einstein Condensation[J]. Chin. Phys. Lett., 2012, 29(3): 5-8
[11] WANG Xu-Cheng, CHENG Hua-Dong, XIAO Ling, ZHENG Ben-Chang, MENG Yan-Ling, LIU Liang, WANG Yu-Zhu. Measurement of Spatial Distribution of Cold Atoms in an Integrating Sphere[J]. Chin. Phys. Lett., 2012, 29(2): 5-8
[12] ZHENG An-Shou, **, LIU Ji-Bing, CHEN Hong-Yun . N−Qubit W State of Spatially Separated Atoms via Fractional Adiabatic Passage[J]. Chin. Phys. Lett., 2011, 28(8): 5-8
[13] FANG Bin, LIU Bi-Heng, HUANG Yun-Feng**, SHI Bao-Sen, GUO Guang-Can . Spectrum Analysis of a Pulsed Photon Source Generated from Periodically Poled Lithium Niobate[J]. Chin. Phys. Lett., 2011, 28(7): 5-8
[14] CHEN Peng, ZHOU Shu-Yu, XU Zhen, DUAN Ya-Fan, CUI Guo-Dong, HONG Tao, WANG Yu-Zhu** . Narrowband Biphoton Generation with Four-Wave Mixing in a Far-Detuning Three-Level System[J]. Chin. Phys. Lett., 2011, 28(7): 5-8
[15] PENG Liang, HUANG Yun-Feng**, LI Li, LIU Bi-Heng, LI Chuan-Feng**, GUO Guang-Can . Experimental Demonstration of Largeness in Bipartite Entanglement Sudden Death[J]. Chin. Phys. Lett., 2011, 28(7): 5-8
Viewed
Full text


Abstract