Evolution of Fock states in three mixed harmonic oscillators: quantum statistics

TL;DR

This paper studies how three interacting harmonic oscillators initially in Fock states evolve, revealing phenomena like squeezing, sub-Poissonian statistics, and transitions to thermal or squeezed thermal states based on interaction parameters.

Contribution

It provides a detailed analysis of the quantum statistical evolution of three coupled harmonic oscillators starting from Fock states, including the generation of squeezing and state transformations.

Findings

Interaction induces various types of squeezing.

Certain Fock states evolve into thermal or squeezed thermal states.

Quantum statistical properties depend on interaction parameters.

Abstract

In this communication we investigate the quantum statistics of three harmonic oscillators mutually interacting with each other considering the modes are initially in Fock states. After solving the equations of motion, the squeezing phenomenon, sub-Poissonian statistics and quasiprobability functions are discussed. We demonstrate that the interaction is able to produce squeezing of different types. We show also that certain types of Fock states can evolve in this interaction into thermal state and squeezed thermal state governed by the interaction parameters.