On quantum states generated from interacting oscillators
Haqi Ismael Shareef, Fardin Kheirandish
TL;DR
This paper investigates quantum states produced by linearly interacting harmonic oscillators, including the effects of external classical sources, and generalizes the approach to systems with any number of oscillators.
Contribution
It introduces a method to analyze quantum states from interacting oscillators with external influences and extends the framework to arbitrary numbers of oscillators.
Findings
Derived total and reduced density matrices for the system
Demonstrated the generalization to n oscillators
Analyzed the influence of classical external sources
Abstract
In this paper, we study the quantum states generated from two and three linearly interacting quantum harmonic oscillators. We consider the possibility that one of the oscillators be under the influence of a classical external source and obtain the total and reduced density matrices related to the system. We show how the problem can be generalized to n linearly interacting oscillators straightforwardly.
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