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Journal of Jiangxi Normal University

Evolution of the Field Entropy in the Interaction of the Field with Three-Level Cascade Atom

Liu Su-mei

Published Jan 1, 2001• 0 citations
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Abstract

In this paper, the evolution of the field of the interaction between three-level cascade atom and the single mode coherent field under the Rotating-Wave Approximation (RWA) has been investigated. The influences of the initial mean photon number n and of the atom-field coupling constant λ on the field entropy have been discussed.

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Zhang Jin-Fang, Lei Tan, Liu Li-Wei +2 more

The entropy evolution properties of field (atom) in a moving cascade three-level atom interacting with a single-mode field are studied through two photon transitions. When the atom is initially in coherent state, the influences of the atomic motion, the field-mode structure parameter and the initial average photon number on the evolution of the entropy are discussed. The results show that the entropy evolution period of the field is dependent of the atomic motion and the field-mode structure parameter. However, the parameter of the initial average photon number will neither lengthen nor shorten the entropy evolution period of the field, but the numerical values of maximum and sub-minimum of entropy will be affected by it.

Acta Physica Sinica•Jan 1, 2008•0 citations

QUANTUM DYNAMICS OF A CASCADE THREE-LEVEL ATOM INTERACTING WITH COHERENT STATE IN THE COUNTER ROTATING WAVE APPROXIMATION

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The dynamics of a cascade three-level atom interacting with the single mode coherent state under the Counter-Rotating-Wave approximation (C-RWA) is investigated.The properties of the mean-photon number (N(t)) and the degree of second-order coherence (g2(t)) are analyzed in this model.The little indentation which represents the quantum noise of the system appears in the evolution curves of the mean-photon number and the degree of second-order coherence under the C-RWA.The quantum noise which is caused by the virtual photon field gradually becomes weak when ω increases.The quantum noise increases when increases.The anti-bunching effect of the system under the C-RWA is stronger than the one under the RWA.Besides,the relation of N(t) and g2(t) with the atom-field coupling constant λ is revealed in our results.

Acta Physica Sinica•Jan 1, 1998•0 citations

Entropy evolution of the field interacting with a quasi-Λ-type four-level atom

Qingchun Zhou, Zhu Shi-Ning, (1)江苏科技大学数理系，镇江 212003;南京大学物理系，固体微结构物理国家重点实验室，南京 210093; (2)南京大学物理系，固体微结构物理国家重点实验室，南京 210093

The evolution of the field (atomic) entropy in a system of a quasi_Λ_type fourlevel atom interacting with an uncoupled two_mode coherent field is investigated. The effects of initial atomic state, the initial mean photon number and the splitting of the atomic energy levels on the entropy are discussed. The system reduces to that of a twolevel or threelevel atom interacting with a singlemode coherent field in special cases.

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An exact solution of evolution of the field entropy in a system of three-level cascade type atom interacting with single-mode coherent field

Cong Hong-Lu, Xuezao Ren, Jiang Dao-Lai +1 more

摘要 本文利用全量子理论，在非旋波近似下对单模相干态光场与级联型三能级原子相互作用过程中场熵随时间的演化进行了精确求解.数值计算的结果表明：随着初始时刻平均光子数n以及光场与原子的耦合强度u, v的增大，场熵的平均值先增大后减小,因此纠缠度也同样先增大后减小；随着失谐量Δ的增大，场熵的平均值逐渐减小，因此纠缠度也逐渐减小. 关键词: 相干态正交化展开 / 非旋波近似 / 场熵 Abstract In this paper,the evolution of field entropy in the system of single-mode coherent light field interacting with a three-level cascade type atom is calculated exactly in the frame of complete quantum theory and without rotating wave approximation.The numerical results indicate that with the increases of the initial mean photon number n and the atom-field coupling strengths u and v the mean value of the field entropy increases at first and then decreases.Therefore,the degrees of entanglement also increase at first and then decrease.The mean value of the entropy of the field decreases with the enlarging of the detuning Δ, which leads to the decrease of the degrees of entanglement. Keywords: coherent-state orthogonalization expansion / without rotating wave approximation / field entropy 作者及机构信息 丛红璐, 任学藻, 姜道来, 廖旭 1. 西南科技大学理学院,绵阳 621010 基金项目: 四川省自然科学基金(批准号: 2006C028)资助的课题. Authors and contacts Cong Hong-Lu, Ren Xue-Zao, Jiang Dao-Lai, Liao Xu 1. 西南科技大学理学院,绵阳 621010 参考文献 [1] ［1］Phoenix S J D, Knight P L 1988 Ann. Phys. 186 381 [2] ［2］ Phoenix S J D, Knight P L 1991 Phys. Rev. A 44 6023 [3] ［3］Obada A S F, Ahmed M M A, Faramawy F K, Khalil E M 2004 Chin. J. Phys. 42 80 [4] ［4］Faisal A A E, Wahiddin M R B, Obada A S F 2008 Opt. Commun. 281 2854 [5] ［5］Liu S M 2003 Chin. J. Quantum. Electron. 20 725 (in Chinese) ［刘素梅 2003 量子电子学报 20 725］ [6] ［6］Zou Y, Li Y P 2009 Chin. Phys. B 18 2794 [7] ［7］Zhang J F, Tan L, Liu L W, Ding C Y 2008 Acta Phys. Sin. 57 2205 (in Chinese) ［张金芳、谭磊、刘利伟、丁彩英 2008 物理学报 57 2205］ [8] ［8］Hu X P, Guo H 2009 Acta Phys. Sin. 58 272 (in Chinese) ［胡孝平、郭红 2009 物理学报 58 272］ [9] ［9］Liu T, Feng M，Wang K L 2007 Commun. Theor. Phys. 47 561 [10] ］Zhang Z J, Wang K L，Qin G 2005 Chin. Phys. 14 1317 [11] ］T Liu, K L Wang, M Feng 2007 J. Phys. B:At. Mol. Opt.2 Phys. 40 1967 [12] ］Fan Y X, Liu T, Feng M, Wang K L 2007 Commun. Theor. Phys. 47 781 [13] ］Liu T, Fan Y X, Huang S W, Wang K L, Wang Y 2007 Commun. Theor. Phys. 47 791 [14] ］Ren X Z, Jiang D L, Cong H L, Liao X 2009 Acta Phys. Sin. 58 5394 (in Chinese) ［任学藻、姜道来、丛红璐、廖旭 2009 物理学报 58 5394］ [15] ］Ren X Z, Liao X, Huang S W, Wang K L 2009 Acta Phys. Sin. 58 2680 (in Chinese) ［任学藻、廖旭、黄书文、汪克林 2009 物理学报 58 2680］ [16] ］Ren X Z, Liao X, Liu T, Wang K L 2006 Acta Phys. Sin. 55 2865 (in Chinese) ［任学藻、廖旭、刘涛、汪克林 2006 物理学报 55 2865］ [17] ］Chen Q H，Zhang Y Y, Liu T, Wang K L 2008 Phys. Rev. A 78 1050 施引文献

Acta Physica Sinica•Jan 1, 2010•1 citation

Quantum Entanglement of a Two-Mode Field Interacting with a Cascade Three-level Atom without Rotating Wave Approximation

Cong Hong-l

The quantum entanglement of the two mode coherent field interacting with a cascade three-level atom was calculated accurately with non-rotating wave approximation by using the complete quantum theory.The influences of the superposition between different atomic energy level at the initial time and the mean photon number on quantum entanglement evolution were considered.The results obtained by the numerical method show that the period of the quantum entanglement evolution becomes longer with the increase of the mean photon number when the atom initially at the single energy level,the quantum entanglement at the first few periods is reduced notably due to the fact of the atom is initially in the superposition state,it takes longer time for the entanglement to reach the maximum value with the increase of the mean photon number,moreover,because of the atom is initially in the superposition state,the periodic disappears.No matter which atom state,the quick oscillation due to the virtual photon process increases with the increasing of the mean photon number.

ACTA PHOTONICA SINICA•Jan 1, 2015•0 citations

The field entropy evolution of the two level atom interacting with a single mode coherent light field

Pan Ying

The field entropy evolution of two level atom interacting with a single mode coherent light field is studied by means of the complete quantum theory.Through numerical calculation,the influence of the initial mean photon number,the coupled intensity g and the excited field intensity on the field entropy evolution is investigated.It is found that the field entropy evolution will be the phenomenon of oscillation periodicity and nonperiodicity and collapse-and-revival.The results show that the influence of the initial mean photon number and the coupled intensity g on the field entropy evolution possess nonlinear properties.

Journal of Northwest Normal University•Jan 1, 2008•0 citations
The entropy evolution properties of field (atom) in a moving cascade three-level atom interacting with a single-mode field are studied through two photon transitions. When the atom is initially in coherent state, the influences of the atomic motion, the field-mode structure parameter and the initial average photon number on the evolution of the entropy are discussed. The results show that the entropy evolution period of the field is dependent of the atomic motion and the field-mode structure parameter. However, the parameter of the initial average photon number will neither lengthen nor shorten the entropy evolution period of the field, but the numerical values of maximum and sub-minimum of entropy will be affected by it.
The dynamics of a cascade three-level atom interacting with the single mode coherent state under the Counter-Rotating-Wave approximation (C-RWA) is investigated.The properties of the mean-photon number (N(t)) and the degree of second-order coherence (g2(t)) are analyzed in this model.The little indentation which represents the quantum noise of the system appears in the evolution curves of the mean-photon number and the degree of second-order coherence under the C-RWA.The quantum noise which is caused by the virtual photon field gradually becomes weak when ω increases.The quantum noise increases when increases.The anti-bunching effect of the system under the C-RWA is stronger than the one under the RWA.Besides,the relation of N(t) and g2(t) with the atom-field coupling constant λ is revealed in our results.
摘要 本文利用全量子理论，在非旋波近似下对单模相干态光场与级联型三能级原子相互作用过程中场熵随时间的演化进行了精确求解.数值计算的结果表明：随着初始时刻平均光子数n以及光场与原子的耦合强度u, v的增大，场熵的平均值先增大后减小,因此纠缠度也同样先增大后减小；随着失谐量Δ的增大，场熵的平均值逐渐减小，因此纠缠度也逐渐减小. 关键词: 相干态正交化展开 / 非旋波近似 / 场熵 Abstract In this paper,the evolution of field entropy in the system of single-mode coherent light field interacting with a three-level cascade type atom is calculated exactly in the frame of complete quantum theory and without rotating wave approximation.The numerical results indicate that with the increases of the initial mean photon number n and the atom-field coupling strengths u and v the mean value of the field entropy increases at first and then decreases.Therefore,the degrees of entanglement also increase at first and then decrease.The mean value of the entropy of the field decreases with the enlarging of the detuning Δ, which leads to the decrease of the degrees of entanglement. Keywords: coherent-state orthogonalization expansion / without rotating wave approximation / field entropy 作者及机构信息 丛红璐, 任学藻, 姜道来, 廖旭 1. 西南科技大学理学院,绵阳 621010 基金项目: 四川省自然科学基金(批准号: 2006C028)资助的课题. Authors and contacts Cong Hong-Lu, Ren Xue-Zao, Jiang Dao-Lai, Liao Xu 1. 西南科技大学理学院,绵阳 621010 参考文献 [1] ［1］Phoenix S J D, Knight P L 1988 Ann. Phys. 186 381 [2] ［2］ Phoenix S J D, Knight P L 1991 Phys. Rev. A 44 6023 [3] ［3］Obada A S F, Ahmed M M A, Faramawy F K, Khalil E M 2004 Chin. J. Phys. 42 80 [4] ［4］Faisal A A E, Wahiddin M R B, Obada A S F 2008 Opt. Commun. 281 2854 [5] ［5］Liu S M 2003 Chin. J. Quantum. Electron. 20 725 (in Chinese) ［刘素梅 2003 量子电子学报 20 725］ [6] ［6］Zou Y, Li Y P 2009 Chin. Phys. B 18 2794 [7] ［7］Zhang J F, Tan L, Liu L W, Ding C Y 2008 Acta Phys. Sin. 57 2205 (in Chinese) ［张金芳、谭磊、刘利伟、丁彩英 2008 物理学报 57 2205］ [8] ［8］Hu X P, Guo H 2009 Acta Phys. Sin. 58 272 (in Chinese) ［胡孝平、郭红 2009 物理学报 58 272］ [9] ［9］Liu T, Feng M，Wang K L 2007 Commun. Theor. Phys. 47 561 [10] ］Zhang Z J, Wang K L，Qin G 2005 Chin. Phys. 14 1317 [11] ］T Liu, K L Wang, M Feng 2007 J. Phys. B:At. Mol. Opt.2 Phys. 40 1967 [12] ］Fan Y X, Liu T, Feng M, Wang K L 2007 Commun. Theor. Phys. 47 781 [13] ］Liu T, Fan Y X, Huang S W, Wang K L, Wang Y 2007 Commun. Theor. Phys. 47 791 [14] ］Ren X Z, Jiang D L, Cong H L, Liao X 2009 Acta Phys. Sin. 58 5394 (in Chinese) ［任学藻、姜道来、丛红璐、廖旭 2009 物理学报 58 5394］ [15] ］Ren X Z, Liao X, Huang S W, Wang K L 2009 Acta Phys. Sin. 58 2680 (in Chinese) ［任学藻、廖旭、黄书文、汪克林 2009 物理学报 58 2680］ [16] ］Ren X Z, Liao X, Liu T, Wang K L 2006 Acta Phys. Sin. 55 2865 (in Chinese) ［任学藻、廖旭、刘涛、汪克林 2006 物理学报 55 2865］ [17] ］Chen Q H，Zhang Y Y, Liu T, Wang K L 2008 Phys. Rev. A 78 1050 施引文献
The quantum entanglement of the two mode coherent field interacting with a cascade three-level atom was calculated accurately with non-rotating wave approximation by using the complete quantum theory.The influences of the superposition between different atomic energy level at the initial time and the mean photon number on quantum entanglement evolution were considered.The results obtained by the numerical method show that the period of the quantum entanglement evolution becomes longer with the increase of the mean photon number when the atom initially at the single energy level,the quantum entanglement at the first few periods is reduced notably due to the fact of the atom is initially in the superposition state,it takes longer time for the entanglement to reach the maximum value with the increase of the mean photon number,moreover,because of the atom is initially in the superposition state,the periodic disappears.No matter which atom state,the quick oscillation due to the virtual photon process increases with the increasing of the mean photon number.
The field entropy evolution of two level atom interacting with a single mode coherent light field is studied by means of the complete quantum theory.Through numerical calculation,the influence of the initial mean photon number,the coupled intensity g and the excited field intensity on the field entropy evolution is investigated.It is found that the field entropy evolution will be the phenomenon of oscillation periodicity and nonperiodicity and collapse-and-revival.The results show that the influence of the initial mean photon number and the coupled intensity g on the field entropy evolution possess nonlinear properties.