Squeezed coherent state

Imagine you are playing with a rubber ball. When you squeeze it with your hand, the ball becomes smaller in one direction and larger in another direction. This is similar to a squeezed coherent state.

A squeezed coherent state is a type of quantum state where the uncertainty of the position and momentum of a particle is reduced in one direction but increased in another direction. It is like squeezing a wave packet in one direction which results in an elongated wave packet in the other direction.

To understand this, let's consider a light beam. Light consists of tiny particles called photons, and a coherent state is where all the photons are in phase with each other. When we squeeze this coherent state, we are forcing the photons to have a certain position and momentum in one direction. This means the uncertainty in this direction is reduced, and the photon wave packet becomes narrower. At the same time, the uncertainty in the other direction increases, and the photon wave packet becomes elongated.

The squeezed coherent state has important applications in quantum technology, such as in quantum communication and quantum computing, where precise control over the position and momentum of particles is critical.