New approach to solving master equations of density operator for the Jaynes Cummings model with cavity damping

doi:10.1088/1674-1056/23/9/090303

›› 2014, Vol. 23 ›› Issue (9): 90303-090303.doi: 10.1088/1674-1056/23/9/090303

New approach to solving master equations of density operator for the Jaynes Cummings model with cavity damping

Seyed Mahmoud Ashrafi, Mohammad Reza Bazrafkan

Physics Department, Faculty of Science, I. K. I. University, Qazvin, Iran

收稿日期:2013-12-19 修回日期:2014-04-08 出版日期:2014-09-15 发布日期:2014-09-15

New approach to solving master equations of density operator for the Jaynes Cummings model with cavity damping

Seyed Mahmoud Ashrafi, Mohammad Reza Bazrafkan

Physics Department, Faculty of Science, I. K. I. University, Qazvin, Iran

Received:2013-12-19 Revised:2014-04-08 Online:2014-09-15 Published:2014-09-15
Contact: Seyed Mahmoud Ashrafi E-mail:ashrafi@alm.ikiu.ac.ir

摘要/Abstract

摘要： By introducing thermo-entangled state representation |η>, which can map master equations of density operator in quantum statistics as state-vector evolution equations, and using “dissipative interaction picture” we solve the master equation of Jaynes-Cummings model with cavity damping. In addition we derive the Wigner function for density operator when the atom is initially in the up state |↑> and the cavity mode is in coherent state.

关键词: Jaynes-Cummings model, entangled state representation, master equations

Abstract: By introducing thermo-entangled state representation |η>, which can map master equations of density operator in quantum statistics as state-vector evolution equations, and using “dissipative interaction picture” we solve the master equation of Jaynes-Cummings model with cavity damping. In addition we derive the Wigner function for density operator when the atom is initially in the up state |↑> and the cavity mode is in coherent state.

Key words: Jaynes-Cummings model, entangled state representation, master equations

中图分类号: (Quantum mechanics)

03.65.-w

42.50.-p (Quantum optics)

Seyed Mahmoud Ashrafi, Mohammad Reza Bazrafkan. New approach to solving master equations of density operator for the Jaynes Cummings model with cavity damping[J]. , 2014, 23(9): 90303-090303.

Seyed Mahmoud Ashrafi, Mohammad Reza Bazrafkan. New approach to solving master equations of density operator for the Jaynes Cummings model with cavity damping[J]. Chin. Phys. B, 2014, 23(9): 90303-090303.

参考文献 17

[1]	Gardiner C and Zoller P 2000 Quantum Noise (Berlin: Springer)
[2]	Breuer H P and Petruccione F 2002 The Theory of Open Quantum System (Oxford: Oxford University Press)
[3]	Lindblad G 1976 Commun Math. Phys. 48 119
[4]	Gorini V and Kossakowski S A 1976 J. Math. Phys. 17 821
[5]	Schleich W P 2001 Quantum Optics in Phase Space (Berlin: Wiley/VCH)
[6]	Gerry C and Knight P 2005 Introductory Quantum Optics (New York: Cambridge University Press)
[7]	Fan H Y and Fan Y 1998 Phys. Lett. A 246 242
[8]	Walls D F and Milburn G j 1994 Quantum Optics (New York: Springer)
[9]	Cahill K and Glauber R 1969 Phys. Rev. 177 1857
[10]	Fan H Y and Klauder J R 1994 Phys. Rev. A 49 704
[11]	Umezawa H, Matsumoto H and Tachiki M 1982 Thermo Field Dynamics and Condensed State (Amesterdam : North Holland)
[12]	Takahashi Y and Umezeawa H 1975 Collect. Phenom. 2 55
[13]	Fan H Y and Lu H L 2007 Mod. Phys. Lett. B 21 183
[14]	Bazrafkan M R and Ashrafi M 2013 J. Russia Laser. 34 1
[15]	Ashrafi S M and Bazrafkan M R 2013 Chin. Phys. Lett. 30 11
[16]	Fan H Y and Hu L U 2009 Commun. Theor. Phys. 51 729
[17]	Fan H Y and Hu L U 2008 Opt. Commun. 281 5571

New approach to solving master equations of density operator for the Jaynes Cummings model with cavity damping

New approach to solving master equations of density operator for the Jaynes Cummings model with cavity damping

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献 17

相关文章 15

Metrics

本文评价

推荐阅读 0

[1]	Mengmeng Luo(罗萌萌), Wenxiao Liu(刘文晓), Yuetao Chen(陈悦涛), Shangbin Han(韩尚斌), and Shaoyan Gao(高韶燕). Environmental parameter estimation with the two-level atom probes[J]. 中国物理B, 2022, 31(5): 50304-050304.
[2]	Kang-Ying Du(杜康英), Ya-Jie Ma(马雅洁), Shao-Xiong Wu(武少雄), and Chang-Shui Yu(于长水). Quantum speed limit for the maximum coherent state under the squeezed environment[J]. 中国物理B, 2021, 30(9): 90308-090308.
[3]	Yi-Fan Wang(王伊凡), Hong-Hao Yin(尹洪浩), Ming-Yue Yang(杨明月), An-Chun Ji(纪安春), and Qing Sun(孙青). Effective Hamiltonian of the Jaynes-Cummings model beyond rotating-wave approximation[J]. 中国物理B, 2021, 30(6): 64204-064204.
[4]	Jing-Ying Wei(魏静莹), Qing Wang(王青), and Jian Jing(荆坚). Supersymmetric structures of Dirac oscillators in commutative and noncommutative spaces[J]. 中国物理B, 2021, 30(11): 110307-110307.
[5]	王继锁, 孟祥国, 范洪义. Time evolution of angular momentum coherent state derived by virtue of entangled state representation and a new binomial theorem[J]. 中国物理B, 2019, 28(10): 100301-100301.
[6]	吕翠红, 张苏青, 许雯. Fractional squeezing-Hankel transform based on the induced entangled state representations[J]. 中国物理B, 2018, 27(9): 94206-094206.
[7]	王彦懿, 方卯发. Generation of sustained optimal entropy squeezing of a two-level atom via non-Hermitian operation[J]. 中国物理B, 2018, 27(11): 114207-114207.
[8]	孟祥国, 王继锁, 范洪义, 夏承魏. Kraus operator solutions to a fermionic master equation describing a thermal bath and their matrix representation[J]. 中国物理B, 2016, 25(4): 40302-040302.
[9]	M. Mirzaee, M. Batavani. Atom-field entanglement in the Jaynes–Cummings modelwithout rotating wave approximation[J]. , 2015, 24(4): 40306-040306.
[10]	许雪芬, 范洪义. A new optical field generated as an output of the displaced Fock state in an amplitude dissipative channel[J]. 中国物理B, 2015, 24(1): 10301-010301.
[11]	马悦, 董锟, 田贵花. Evolution of entanglement between qubits ultra-strongly coupling to a quantum oscillator[J]. , 2014, 23(9): 94204-094204.
[12]	H R Baghshahi, M K Tavassoly, A Behjat. Entropy squeezing and atomic inversion in the k-photon Jaynes-Cummings model in the presence of the Stark shift and a Kerr medium：A full nonlinear approach[J]. , 2014, 23(7): 74203-074203.
[13]	陈锋, 范洪义. Evolution law of a negative binomial state in an amplitude dissipative channel[J]. 中国物理B, 2014, 23(3): 30304-030304.
[14]	M. Mirzaee, N. Kamani. Analytical approach to dynamics of transformed rotating-wave approximation with dephasing[J]. 中国物理B, 2013, 22(9): 94203-094203.
[15]	范洪义, 何锐, 笪诚, 梁祖峰. Optical field’s quadrature excitation studied by new Hermite-polynomial operator identity[J]. 中国物理B, 2013, 22(8): 80301-080301.