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The Jaynes-Cummings-Hubbard (JCH) model is a combination of the Jaynes–Cummings model and the coupled cavities. The one-dimensional JCH model consists of a chain of ''N''-coupled single-mode cavities and each cavity contains a two-level atom as illustrated in the figures. This model was originally proposed in June 2006 in the context of Mott transitions for strongly interacting photons in coupled cavity arrays in Ref.〔 〕 A different interaction scheme has been suggested at the same time, where four level atoms were interacting with external fields and strongly correlated dynamics of polaritons were studied.〔 〕 In Ref.〔 〕 the phase diagram of the JCH using mean field theory has been calculated in which the Mott insulator phase and superfluid phase are identified. The tunnelling effect comes from the junction between cavities which is an analogy of the Josephson effect.〔 〕〔 〕 The model can be made using circuit QED with superconducting qubits. More information can be found in Ref.〔 〕 ==Basic description== The investigation of quantum electrodynamics (QED) in coupled-cavity systems provides insight about the behavior of strongly interacting photons and atoms. With the capability of tunable coupling and measurement of individual cavity fields, coupled-cavity QED could serve as a useful tool to address the control of quantum many-body phenomena 〔 〕〔 〕 as well as the transmission and storage of quantum information.〔 〕 In particular, the JCH model corresponds to a fundamental configuration exhibiting the quantum phase transition of light. In the original version of this model in Ref.(), single two-level atoms are embedded in each cavity and the dipole interaction leads to dynamics involving photonic and atomic degrees of freedom, which is in contrast to the widely studied Bose-Hubbard model. More recent treatment using strong coupling theory can be found at Ref. 〔 〕 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Jaynes–Cummings–Hubbard model」の詳細全文を読む スポンサード リンク
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