Transmission of a quantum state in a periodically poled nonlinear crystal

TL;DR

This paper theoretically investigates how quantum states, including Schrödinger cat states, can be transmitted and interfered within a periodically poled nonlinear crystal, using Wigner functions for visualization.

Contribution

It introduces a theoretical framework for transmitting and analyzing quantum superposition states in PPNC, highlighting interference effects.

Findings

Transmission of Schrödinger cat states is achievable in PPNC.

Interference between superposition states can be visualized with Wigner functions.

Various initial quantum states influence transmission and interference patterns.

Abstract

Theoretical calculations on transmission of quantum states such as Schr\"{o}dinger cat (SC) states are considered in a periodically poled nonlinear crystal (PPNC). Combinations of various initial states (SC, coherent (C),and vacuum (V)) of light waves at frequencies $\omega_{e}$ and $3\omega_{e}$ at the input of a PPNC are studied. It is shown that the transmission and interference between superposition of macroscopically distinguishable states can be achieved by using a PPNC. Visualization and analyzes of transmission and interference processes are demonstrated with the help of reduced Wigner quasi-probability distribution functions of considered light waves.