Demonstrating Additional Law of Relativistic Velocities based on Squeezed Light

TL;DR

This paper demonstrates a novel approach to illustrating the additional law of relativistic velocities and Wigner rotation angle using squeezed light, bridging quantum optics and special relativity concepts.

Contribution

It establishes a connection between squeezed light transformations and Lorentz boosts, providing a new experimental analogy for relativistic velocity addition.

Findings

Derived the additional law of relativistic velocities using squeezed light.

Connected squeezed operator transformations with Lorentz boosts.

Deduced the Wigner rotation angle in the context of squeezed light.

Abstract

Special relativity is foundation of many branches of modern physics, of which theoretical results are far beyond our daily experience and hard to realized in kinematic experiments. However, its outcomes could be demonstrated by making use of convenient substitute, i.e. squeezed light in present paper. Squeezed light is very important in the field of quantum optics and the corresponding transformation can be regarded as the coherent state of SU(1; 1). In this paper, the connection between the squeezed operator and Lorentz boost is built under certain conditions. Furthermore, the additional law of relativistic velocities and the angle of Wigner rotation are deduced as well.