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Acta Optica Sinica

The N th-power squeezing of field amplitude in the vacuum state multiphoton Jaynes-Cummings model

Chuan‐Kui Wang

Published Jan 1, 1993• 0 citations
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Abstract

The properties of the N th- power squeezing of field amplitude in the k- photon Jaynes-Cummings model of an atom initially in atomic coherent state coupling with vacuum field are investigated in this paper. The results show that the field exhibit not only the N = k th-power squeezing of the amplitude but also the N = (k/2) th-power squeezing when k is even.

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The properties of the N th- power squeezing of field amplitude in the k- photon Jaynes-Cummings model of an atom initially in atomic coherent state coupling with vacuum field are investigated in this paper. The results show that the field exhibit not only the N = k th-power squeezing of the amplitude but also the N = (k/2) th-power squeezing when k is even.
We have studied the properties of the amplitude- N -th powered squeezing of an electromagnetic field in the k -photon Jaynes-Cummings model of an atom initially being in the ground state and coupling with the superposition state. The results show that, under the condition of n ⩾ k , where n is the photon number of the superposition state, the field exhibits not only the amplitude- N = n -th powered squeezing but also the amplitude- N = ( n /2)-th powered squeezing for even n . The variations of the amplitude- N -th powered squeezing of the field with the powers N and k are discussed.
Evolution of the squeezed state in a multiphoton Jaynes–Cummings model (JCM) when the field is interacting with an atom prepared initially in a coherent superposition of the ground state and the excited state is studied. Long time and short time evolution of field statistics are discussed and compared with the standard JCM. These properties are found to be sensitive to the initial phase of the atom. For a phased atom, squeezing at later times can be larger than the initial squeezing. It is found that two-photon interaction of a suitably prepared phased atom with the initial vacuum state can yield 45% squeezing below the vacuum noise limit. Multiphoton interaction of a phased atom with the initial vacuum state of the field leads periodically to a pure field state that is a coherent superposition of the vacuum state and the n-photon Fock state.
The k-photon Jaynes-Cummings model is studied with respect to the properties of the radiation mode. In particular, the generation of coherence and squeezing in the one- and two-photon model is examined for the case that the field is initially in the vacuum state and the atom is prepared in a coherent superposition of states. Coherence is found in the one-photon model, and squeezing appears in both the one- and the two-photon model, the maximum noise reduction being 25% and 45%, respectively. In the one-photon model coherent squeezed radiation is generated, whereas the two-photon model yields a squeezed vacuum. For an initial atomic preparation close to the ground state, this squeezed vacuum may be interpreted as the result of two-photon interaction between the quantized cavity field and a classical atomic current.