Two-photon interaction of a phased atom with squeezed vacuum state

Eman M. A. Hilal, S. Abdel‐Khalek

Dan Yao, Guang‐Can Guo

Julio R. Gea-Banacloche, Rainer R. Schlicher, Muhammad Suhail Zubairy

We have investigated the interaction of a single atom with a single mode of the radiation field in an ideal cavity when the field is initially in a squeezed-vacuum state. In particular, we present results for the spectrum of the emitted light and for the time evolution of the squeezing inside the cavity. Our results contrast sharply with previous studies of single two-level atom interaction with a continuum of squeezed-vacuum modes. In particular, the results are shown to be insensitive to the initial phase of the atomic dipole relative to the squeezed field, and the squeezing is destroyed by the coherent interaction, in a time essentially independent of the initial degree of squeezing. Most features of the spectrum are very similar to those predicted for an initial thermal state, although the two-peaked structure associated with vacuum-field Rabi splitting is more apparent for a squeezed state with a small average number of photons than for a thermal state with the same number of photons.

Changxin Wang, Reeta Vyas

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.

N. A. Enaki, Mihai Macovei

Eyob Alebachew, K. Fesseha