Squeezed states and Symplectic transformations

TL;DR

This paper explores how symplectic transformations relate to squeezing in quantum states, providing a method to determine the time evolution of squeezed and displaced states via Heisenberg equations.

Contribution

It introduces a novel approach linking symplectic transformations with the dynamics of squeezed states, enhancing understanding of quantum state evolution.

Findings

Time evolution of squeezed states can be obtained through eigenstates of evolved operators.

Symplectic transformations are fundamentally connected to quantum squeezing.

Method provides a systematic way to analyze quantum state dynamics.

Abstract

It is shown that the time evolution of the squeezed and displaced state may be obtained by solving the Heisenberg equation of motion of an appropriate operator and finding the eigenstates of the time evolved operator. The connection between symplectic transformations and squeezing is explored.