Advances in Optics

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Analyzing Density Operator in Thermal State for Complicated Time-Dependent Optical Systems


Affiliations
1 Department of Radiologic Technology, Daegu Health College, Yeongsong-ro 15, Buk-gu, Daegu 702-722, Korea, Republic of
2 Division of Mathematical Modeling, National Institute for Mathematical Sciences, KTDaeduk 2 Research Center, 463-1 Jeonmin-dong, Yuseong-gu, Daejeon 305-390, Korea, Republic of
 

Density operator of oscillatory optical systems with time-dependent parameters is analyzed. In this case, a system is described by a time-dependent Hamiltonian. Invariant operator theory is introduced in order to describe time-varying behavior of the system. Due to the time dependence of parameters, the frequency of oscillation, so-called a modified frequency of the system, is somewhat different from the natural frequency. In general, density operator of a time-dependent optical system is represented in terms of the modified frequency.We showed how to determine density operator of complicated time-dependent optical systems in thermal state. Usually, density operator description of quantum states is more general than the one described in terms of the state vector.
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  • Analyzing Density Operator in Thermal State for Complicated Time-Dependent Optical Systems

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Authors

Jeong Ryeol Choi
Department of Radiologic Technology, Daegu Health College, Yeongsong-ro 15, Buk-gu, Daegu 702-722, Korea, Republic of
Ji Nny Song
Department of Radiologic Technology, Daegu Health College, Yeongsong-ro 15, Buk-gu, Daegu 702-722, Korea, Republic of
Yeontaek Choi
Division of Mathematical Modeling, National Institute for Mathematical Sciences, KTDaeduk 2 Research Center, 463-1 Jeonmin-dong, Yuseong-gu, Daejeon 305-390, Korea, Republic of

Abstract


Density operator of oscillatory optical systems with time-dependent parameters is analyzed. In this case, a system is described by a time-dependent Hamiltonian. Invariant operator theory is introduced in order to describe time-varying behavior of the system. Due to the time dependence of parameters, the frequency of oscillation, so-called a modified frequency of the system, is somewhat different from the natural frequency. In general, density operator of a time-dependent optical system is represented in terms of the modified frequency.We showed how to determine density operator of complicated time-dependent optical systems in thermal state. Usually, density operator description of quantum states is more general than the one described in terms of the state vector.