q模光场—两原子系统量子场熵的演化特性研究
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摘要
本文利用全量子理论和数值计算方法,首次研究了q模光场与两个偶极—偶极力关联的等同双能级原子任意Nj-度简并的、任意NΣ光子相互作用过程中光场量子场熵的时间演化特性。给出不同初态下,场—原子相互作用系统中光场量子场熵的计算公式,利用Matlab计算机绘图程序对理论结果进行了详细的数值计算,由此获得了一系列新的结果和结论。具体如下:
(1)研究了初态为Fock态的多模光场与初态分别处于+,+、,、+,和,+这四种不同原子态的两个偶极—偶极力关联的等同双能级原子相互作用系统中光场量子场熵的时间演化特性。通过数值计算与数值分析,揭示出光场量子场熵随时间演化的基本特征。
(2)研究了初态为相干态的多模光场与初态处于双激发态+ ,+的两个偶极—偶极力关联的等同双能级原子相互作用过程中光场量子场熵的时间演化特性。通过数值计算研究了不同参量对光场量子场熵的时间演化特性的影响,由此获得了一些新的结果和结论。
(3)研究了初态为数态的多模光场与初态分别处于四种不同Bell态的两个偶极—偶极力关联的等同双能级原子相互作用过程中光场量子场熵的时间演化特性。通过数值计算详细分析了上述不同条件下光场量子场熵的时间演化特性,并揭示出其物理本质。
(4)研究了初态为相干态的多模光场与初态分别处于四种不同Bell态的两个偶极—偶极力关联的等同双能级原子相互作用过程中光场量子场熵的时间演化特性。通过数值计算研究了上述条件下光场量子场熵的时间演化特性,并揭示出其一般特征。本文的研究结果,在量子信息学领域中诸如量子通信与量子光通信等研究方面具有重要的应用价值。
In this thesis, the complete quantum theory and the numerical calculating method are utilized firstly to study the properties of time evolution of field quantum-entropy of multimode light-field in the system of q-mode light-field interacting with two identical two-level atoms coupled by dipole-dipole through any NΣ-photon process with any Nj-degree degenerate. Then the formulas for calculating field quantum-entropy of light-field in the system of light-field interacting with atoms mentioned above are given under different initial conditions that are satisfied by multimode light-field and the two coupled atoms respectively, the Matlab graphical programme of computer is used to make the numerical calculating for the theoretical results in detail, and a series of the new results and conclusions are therefore obtained. It is found as follows:
(1) The properties of time evolution of field quantum-entropy of light-field are researched in the system of multimode light-field which is laid in multimode Fock state at the initial time interacting with two identical two-level atoms coupled by dipole-dipole which are laid in one of the four kinds of different atomic states such as + , + , , , +, and ,+ at the initial time respectively. And the main characteristic of time evolution of field quantum-entropy of light-field above is thereby revealed by using the numerical calculation and analyses.
(2) The properties of time evolution of field quantum-entropy of light-field are researched in the system of multimode light-field which is laid in multimode coherent state at the initial time interacting with two identical two-level atoms coupled by dipole-dipole which are laid in the double excited state + , + at the initial time. The influences of different parameters of the system mentioned upon the properties of time evolution of field quantum-entropy of light-field are analyzed in detail by utilizing the numerical calculations, and some new results and conclusions are further obtained.
(3) The properties of time evolution of field quantum-entropy of light-field are studied in the system of multimode number-state light-field interacting with two identical two-level atoms coupled by dipole-dipole which are laid in one of the four kinds of different Bell states evolution of field quantum-entropy of light-field are analyzed in detail under the different conditions mentioned above, and its physical essence is further revealed.
(4) The properties of time evolution of field quantum-entropy of light-field are also studied in the system of multimode coherent state light-field interacting with two identical two-level atoms coupled by dipole-dipole which are laid in one of the four kinds of different Bell states at the initial time respectively. By applying numerical calculations, the properties of time evolution of field quantum-entropy of light-field are studied under the above conditions, and its general characteristics are revealed too.
It is pointed out that the research results in this thesis are of great important values for applications in the regime of quantum informatics such as quantum communication, light-quanta communication, and so forth.
(1)研究了初态为Fock态的多模光场与初态分别处于+,+、,、+,和,+这四种不同原子态的两个偶极—偶极力关联的等同双能级原子相互作用系统中光场量子场熵的时间演化特性。通过数值计算与数值分析,揭示出光场量子场熵随时间演化的基本特征。
(2)研究了初态为相干态的多模光场与初态处于双激发态+ ,+的两个偶极—偶极力关联的等同双能级原子相互作用过程中光场量子场熵的时间演化特性。通过数值计算研究了不同参量对光场量子场熵的时间演化特性的影响,由此获得了一些新的结果和结论。
(3)研究了初态为数态的多模光场与初态分别处于四种不同Bell态的两个偶极—偶极力关联的等同双能级原子相互作用过程中光场量子场熵的时间演化特性。通过数值计算详细分析了上述不同条件下光场量子场熵的时间演化特性,并揭示出其物理本质。
(4)研究了初态为相干态的多模光场与初态分别处于四种不同Bell态的两个偶极—偶极力关联的等同双能级原子相互作用过程中光场量子场熵的时间演化特性。通过数值计算研究了上述条件下光场量子场熵的时间演化特性,并揭示出其一般特征。本文的研究结果,在量子信息学领域中诸如量子通信与量子光通信等研究方面具有重要的应用价值。
In this thesis, the complete quantum theory and the numerical calculating method are utilized firstly to study the properties of time evolution of field quantum-entropy of multimode light-field in the system of q-mode light-field interacting with two identical two-level atoms coupled by dipole-dipole through any NΣ-photon process with any Nj-degree degenerate. Then the formulas for calculating field quantum-entropy of light-field in the system of light-field interacting with atoms mentioned above are given under different initial conditions that are satisfied by multimode light-field and the two coupled atoms respectively, the Matlab graphical programme of computer is used to make the numerical calculating for the theoretical results in detail, and a series of the new results and conclusions are therefore obtained. It is found as follows:
(1) The properties of time evolution of field quantum-entropy of light-field are researched in the system of multimode light-field which is laid in multimode Fock state at the initial time interacting with two identical two-level atoms coupled by dipole-dipole which are laid in one of the four kinds of different atomic states such as + , + , , , +, and ,+ at the initial time respectively. And the main characteristic of time evolution of field quantum-entropy of light-field above is thereby revealed by using the numerical calculation and analyses.
(2) The properties of time evolution of field quantum-entropy of light-field are researched in the system of multimode light-field which is laid in multimode coherent state at the initial time interacting with two identical two-level atoms coupled by dipole-dipole which are laid in the double excited state + , + at the initial time. The influences of different parameters of the system mentioned upon the properties of time evolution of field quantum-entropy of light-field are analyzed in detail by utilizing the numerical calculations, and some new results and conclusions are further obtained.
(3) The properties of time evolution of field quantum-entropy of light-field are studied in the system of multimode number-state light-field interacting with two identical two-level atoms coupled by dipole-dipole which are laid in one of the four kinds of different Bell states evolution of field quantum-entropy of light-field are analyzed in detail under the different conditions mentioned above, and its physical essence is further revealed.
(4) The properties of time evolution of field quantum-entropy of light-field are also studied in the system of multimode coherent state light-field interacting with two identical two-level atoms coupled by dipole-dipole which are laid in one of the four kinds of different Bell states at the initial time respectively. By applying numerical calculations, the properties of time evolution of field quantum-entropy of light-field are studied under the above conditions, and its general characteristics are revealed too.
It is pointed out that the research results in this thesis are of great important values for applications in the regime of quantum informatics such as quantum communication, light-quanta communication, and so forth.
引文
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