Squeezed states in the Jaynes-Cummings model

Shi-Yao Zhu, Marlan O. Scully

Shi‐Biao Zheng, Li-Hua Lin, Yun-Kun Jiang

K. A. Rustamov, E.I. Aliskenderov, Ho Trung Dung +1 more

Donita Cohen, Y. Ben-Aryeh, A. Mann

The correlations between two atoms in a generalized two-mode Jaynes-Cummings model (JCM), in the presence of a two-mode squeezed state, are studied. It is found that for a small amount of initial squeezing the correlations go back and forth between the radiation and the atoms. For large initial squeezing the atoms are found to be highly correlated at all times, while the squeezing of the radiation is destroyed as a function of time. In addition, the squeezing of the field is studied in the two-mode JCM and is compared to the one-mode squeezing that is obtained for the ordinary JCM. It is found that in the two-mode model the squeezing is preserved for longer times under the condition that ${\mathit{g}}_{1}$ and ${\mathit{g}}_{2}$ (the two coupling constants) are almost equal.

Xiaoping Yang, Xiping Zheng

Amplitude-squared squeezing of the electromagnetic field is obtained in the Jaynes-Cummings model of an atomic transition coupled to a single-mode quantised electromagnetic field.

Siming Zhu, Zhencai Wu, 谭华堂 +2 more

ABSTRACT In this paper, we investigate steady‐state quantum squeezing and entanglement in a generalized Dicke model, which features Jaynes–Cummings (JC) and anti–Jaynes–Cummings (AJC) interactions with different strengths, by taking into account of single‐atom spontaneous emission and continuous homodyne detection of the cavity field. We find that a reduction in the strength of the AJC interaction can lead to atomic squeezing, which is otherwise absent when the strengths of the two interactions are equal. Likewise, cavity‐field squeezing and atom‐field entanglement can be enhanced as the strength of the AJC interaction is reduced. Furthermore, continuous measurement is shown to significantly enhance both the squeezing and entanglement in both normal and superradiant phases. In addition, it is revealed that under certain conditions, single‐atom spontaneous emission can also improve the squeezing and entanglement. Our results reveal distinctive characteristics of quantum correlations in the open Dicke model and suggest a promising route for realizing robust nonclassical states in such systems.