# Reconstruction Approach to Quantum Dynamics of Bosonic Systems

## TL;DR

This paper introduces a general analytical method for solving the quantum dynamics of bosonic systems by reconstructing the quantum state from operator moments, offering an alternative to traditional master equations especially for complex systems.

## Contribution

The paper presents a novel reconstruction-based approach to quantum dynamics that does not rely on initial state assumptions or system linearity, simplifying analysis of large multipartite bosonic systems.

## Key findings

- Successfully applied to two coupled damped quantum harmonic oscillators
- Provides analytical solutions without initial state restrictions
- Offers a scalable alternative to master equation methods

## Abstract

We propose an approach to analytically solve the quantum dynamics of bosonic systems. The method is based on reconstructing the quantum state of the system from the moments of its annihilation operators, dynamics of which is solved in the Heisenberg picture. The proposed method is general in the sense that it does not assume anything on the initial conditions of the system such as separability, or the structure of the system such as linearity. It is an alternative to the standard master equation approaches, which are analytically demanding especially for large multipartite quantum systems. To demonstrate the proposed technique, we apply it to a system consisting of two coupled damped quantum harmonic oscillators.