Jaynes-Cummings modelに対するエントロピー及び相互エントロピーの計算 (量子確率論とエントロピー解析)

は Jaynes-Cummings モデルのハミルトニアンについて簡単に述べ, 第 4 節ではそのハミルトニアンからユニタリ作用素を導く.第 $\iota 5$ 節ではこのユニタリ作用素を使って, 従来, 原子のダイナミックスを調べる尺度となっている, 遷移確率を計算し, これを用いて Jaynes-Cuumings モデルの物理的性質を論じるは Jaynes-Cummings モデルのハミルトニアンについて簡単に述べ, 第 4 節ではそのハミルトニアンからユニタリ作用素を導く.第 $\iota 5$ 節ではこのユニタリ作用素を使って, 従来, 原子のダイナミックスを調べる尺度となっている, 遷移確率を計算し, これを用いて Jaynes-Cuumings モデルの物理的性質を論じる

数理解析研究所講究録Oct 1, 19980 citations

Jaynes‐Cummings modelと量子干渉効果及びその量子通信への応用 (文部省S)

広田修, 大崎正雄

Jan 1, 19960 citations

Jaynes-Cummingsモデルの量子力学的チャネル(基研研究会「統計物理の展望」,研究会報告)

Shigeru Furuichi

Jan 20, 19990 citations

SUSY hierarchies of Jaynes–Cummings Hamiltonians with different detuning parameters

İsmail Burak Ateş, Ş. Kuru, J. Negro

Abstract The aim of this work is to show how supersymmetric (SUSY) quantum mechanics can be applied to the Jaynes–Cummings (JC) Hamiltonian of quantum optics. These SUSY transformations connect pairs of Jaynes–Cummings Hamiltonians characterized by different detuning parameters as well as Jaynes–Cummings to anti-Jaynes–Cummings Hamiltonians. Therefore, JC Hamiltonians can be classified in hierarchies or sequences which are connected through SUSY transformations. As a byproduct, the symmetries of JC Hamiltonians are found as well as the special case of a sequence of resonant-like interacting systems having the form of a simple shape invariant JC Hamiltonian hierarchy.Abstract The aim of this work is to show how supersymmetric (SUSY) quantum mechanics can be applied to the Jaynes–Cummings (JC) Hamiltonian of quantum optics. These SUSY transformations connect pairs of Jaynes–Cummings Hamiltonians characterized by different detuning parameters as well as Jaynes–Cummings to anti-Jaynes–Cummings Hamiltonians. Therefore, JC Hamiltonians can be classified in hierarchies or sequences which are connected through SUSY transformations. As a byproduct, the symmetries of JC Hamiltonians are found as well as the special case of a sequence of resonant-like interacting systems having the form of a simple shape invariant JC Hamiltonian hierarchy.

arXiv:2504.19943Physica ScriptaJul 30, 20250 citations

Exploring supersymmetry: Interchangeability between Jaynes-Cummings and anti-Jaynes-Cummings models

Ivan A. Bocanegra-Garay, Miguel Castillo-Celeita, J. Negro +2 more

The supersymmetric connection that exists between the Jaynes-Cummings (JC) and anti-Jaynes Cummings (AJC) models in quantum optics is unraveled entirely. A new method is proposed to obtain the temporal evolution of observables in the AJC model using supersymmetric techniques, providing an overview of its dynamics and extending the calculation to full photon counting statistics. The approach is general and can be applied to determine the high-order cumulants given an initial state. The analysis reveals that engineering the collapse-revival behavior and the quantum properties of the interacting field is possible by controlling the initial state of the atomic subsystem and the corresponding atomic frequency in the AJC model. The substantial potential for applications of supersymmetric techniques in the context of photonic quantum technologies is thus demonstrated. Published by the American Physical Society 2024The supersymmetric connection that exists between the Jaynes-Cummings (JC) and anti-Jaynes Cummings (AJC) models in quantum optics is unraveled entirely. A new method is proposed to obtain the temporal evolution of observables in the AJC model using supersymmetric techniques, providing an overview of its dynamics and extending the calculation to full photon counting statistics. The approach is general and can be applied to determine the high-order cumulants given an initial state. The analysis reveals that engineering the collapse-revival behavior and the quantum properties of the interacting field is possible by controlling the initial state of the atomic subsystem and the corresponding atomic frequency in the AJC model. The substantial potential for applications of supersymmetric techniques in the context of photonic quantum technologies is thus demonstrated. Published by the American Physical Society 2024

arXiv:2404.12438Physical Review ResearchNov 27, 202411 citations

Jaynes-Cummingsモデルの量子力学的チャネル(基研研究会「統計物理の展望」,研究会報告)

茂古市

物性研究Jan 20, 19990 citations

は Jaynes-Cummings モデルのハミルトニアンについて簡単に述べ, 第 4 節ではそのハミルトニアンからユニタリ作用素を導く.第

\iota 5

節ではこのユニタリ作用素を使って, 従来, 原子のダイナミックスを調べる尺度となっている, 遷移確率を計算し, これを用いて Jaynes-Cuumings モデルの物理的性質を論じる