Higher-order amplitude squeezing of photons propagating through a semiconductor

Sunil Rani, Jawahar Lal, Nafa Singh

We investigate theoretically the generation of squeezed states in spontaneous and stimulated six-wave mixing process quantum mechanically. It has been found that squeezing occurs in field amplitude, amplitude-squared, amplitude-cubed, and fourth power of field amplitude of fundamental mode in the process. It is found to be dependent on coupling parameter “g” (characteristics of higher-order susceptibility tensor) and phase values of the field amplitude under short-time approximation. Six-wave mixing is a process which involves absorption of three pump photons and emission of two probe photons of the same frequency and a signal photon of different frequency. It is shown that squeezing is greater in a stimulated interaction than the corresponding squeezing in spontaneous process. The degree of squeezing depends upon the photon number in first and higher orders of field amplitude. We study the statistical behaviour of quantum field in the fundamental mode and found it to be sub-Poissonian in nature. The signal-to-noise ratio has been studied in different orders. It is found that signal-to-noise ratio is higher in lower orders. This study when supplemented with experimental observations offers possibility of improving performance of many optical devices and optical communication networks.

Jungsang Kim, Seema Somani, Y. Yamamoto

J.F. Ryan, M. B. Ward, J. Brown

Yun‐Jie Xia, Guang‐Can Guo

The exact solution for the wave function in the k-photon Jaynes–Cummings model with detuning is obtained. In particular, the higher-order squeezing and amplitude-squared squeezing of spontaneous emission in this model are studied. The results show clearly that the higher-order squeezing and amplitude-squared squeezing are independent of second-order squeezing and antibunching.

Y. Yamamoto

Hari Prakash, Devendra Kumar Mishra

We study higher order sub-Poissonian photon statistics conditions for non-classicality in the form of general inequalities for expectation values of products of arbitrary powers of photon number and of photon-number fluctuation. We discuss their use for the detection of (i) Hong and Mandel's squeezing of arbitrary order and (ii) amplitude-squared squeezing. Also, we discuss examples of states that exhibit some higher order sub-Poissonian photon statistics but not others.