Chin. Phys. Lett.  2001, Vol. 18 Issue (1): 51-53    DOI:
Original Articles |
Dynamical Algebraic Approach to the Modified Jaynes-Cummings Model
XU Jing-Bo;ZOU Xu-Bo
Zhejiang Institute of Modern Physics and Department of Physics, Zhejiang University, Hangzhou 310027
Cite this article:   
XU Jing-Bo, ZOU Xu-Bo 2001 Chin. Phys. Lett. 18 51-53
Download: PDF(201KB)  
Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks
Abstract The modified Jaynes-Cummings model of a single two-level atom placed in the common domain of two cavities or interacting with two quantized modes is studied by a dynamical algebraic method. With the help of an SU(2) algebraic structure, we then obtain the eigenvalues, eigenstates, time evolution operator and atomic inversion operator for the system. We proceed to investigate the modified Jaynes-Cummings model governed by the Milburn equation and present the exact solution of the Milburn equation.
Keywords: 42.50.-p      32.80.-t      02.20.-a      03.65.Fd     
Published: 01 January 2001
PACS:  42.50.-p (Quantum optics)  
  32.80.-t (Photoionization and excitation)  
  02.20.-a (Group theory)  
  03.65.Fd (Algebraic methods)  
TRENDMD:   
URL:  
https://cpl.iphy.ac.cn/       OR      https://cpl.iphy.ac.cn/Y2001/V18/I1/051
Service
E-mail this article
E-mail Alert
RSS
Articles by authors
XU Jing-Bo
ZOU Xu-Bo
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): 51-53
[2] LIU Kui, CUI Shu-Zhen, YANG Rong-Guo, ZHANG Jun-Xiang, GAO Jiang-Rui. Experimental Generation of Multimode Squeezing in an Optical Parametric Amplifier[J]. Chin. Phys. Lett., 2012, 29(6): 51-53
[3] DING Xiao-Bin, DONG Chen-Zhong, Gerard O'Sullivan. Shake-up Processes in the 3d Photoionization of Sr I and the Subsequent Auger Decay[J]. Chin. Phys. Lett., 2012, 29(6): 51-53
[4] ZHOU Jun,SONG Jun,YUAN Hao,ZHANG Bo. The Statistical Properties of a New Type of Photon-Subtracted Squeezed Coherent State[J]. Chin. Phys. Lett., 2012, 29(5): 51-53
[5] 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): 51-53
[6] Hassanabadi Hassan, Yazarloo Bentol Hoda, LU Liang-Liang. Approximate Analytical Solutions to the Generalized Pöschl–Teller Potential in D Dimensions[J]. Chin. Phys. Lett., 2012, 29(2): 51-53
[7] LIU Yang, WU Jing-Hui, SHI Bao-Sen, GUO Guang-Can. Realization of a Two-Dimensional Magneto-optical Trap with a High Optical Depth[J]. Chin. Phys. Lett., 2012, 29(2): 51-53
[8] HU Xin, LIU Gang-Qin, XU Zhang-Cheng, PAN Xin-Yu. Influence of Microwave Detuning on Ramsey Fringes of a Single Nitrogen Vacancy Center Spin in Diamond[J]. Chin. Phys. Lett., 2012, 29(2): 51-53
[9] HUANG Wei, RUAN Ya-Ping, JIA Feng-Dong, ZHONG Yin-Peng, LIU Long-Wei, DAI Xing-Can, XUE Ping, XU Xiang-Yuan, ZHONG Zhi-Ping**. Measurement of the Absolute Photoionization Cross Section for the 5P3/2 State of 87Rb in a Vapor Cell Magneto-optic Trap[J]. Chin. Phys. Lett., 2012, 29(1): 51-53
[10] MA Yan**, LI Tong-Bao, WU Wen, XIAO Yi-Li, ZHANG Ping-Ping, GONG Wei-Gang . Laser-Focused Atomic Deposition for Nanascale Grating[J]. Chin. Phys. Lett., 2011, 28(7): 51-53
[11] LIN Bing-Sheng**, HENG Tai-Hua . Energy Spectra of the Harmonic Oscillator in a Generalized Noncommutative Phase Space of Arbitrary Dimension[J]. Chin. Phys. Lett., 2011, 28(7): 51-53
[12] ZHANG Min-Cang**, HUANG-FU Guo-Qing . Analytical Approximation to the -Wave Solutions of the Hulthén Potential in Tridiagonal Representation[J]. Chin. Phys. Lett., 2011, 28(5): 51-53
[13] O. Bayrak**, A. Soylu, I. Boztosun . Effect of the Velocity-Dependent Potentials on the Bound State Energy Eigenvalues[J]. Chin. Phys. Lett., 2011, 28(4): 51-53
[14] ZHA Xin-Wei**, MA Gang-Long . Classification of Four-Qubit States by Means of a Stochastic Local Operation and the Classical Communication Invariant[J]. Chin. Phys. Lett., 2011, 28(2): 51-53
[15] LI Jin-Xing, CAO Ming-Tao, HAN Liang, QI Yue-Rong, ZHANG Shou-Gang, GAO Hong**, LI Fu-Li, T. C. Killian . Calculation of Ion Equilibrium Temperature in Ultracold Neutral Plasmas[J]. Chin. Phys. Lett., 2011, 28(12): 51-53
Viewed
Full text


Abstract