Separable and Inseparable Quantum Trajectories

TL;DR

This paper introduces a method to compare quantum trajectories of interacting systems with their classically correlated counterparts, enabling the identification of inseparable quantum properties over time.

Contribution

It develops equations of motion for separable quantum states, allowing for the analysis of inseparable quantum trajectories in bipartite and multipartite systems.

Findings

Derived Schroedinger-type equations for separable quantum evolution

Demonstrated the approach on bipartite discrete- and continuous-variable systems

Provided a framework for identifying inseparable quantum properties dynamically

Abstract

The dynamical behavior of interacting systems plays a fundamental role for determining quantum correlations, such as entanglement. In this Letter, we describe temporal quantum effects of the inseparable evolution of composite quantum states by comparing the trajectories to their classically correlated counterparts. For this reason, we introduce equations of motions describing the separable propagation of any interacting quantum system, which are derived by requiring separability for all times. The resulting Schroedinger-type equations allow for comparing the trajectories in a separable configuration with the actual behavior of the system and, thereby, identifying inseparable and time-dependent quantum properties. As an example, we study bipartite discrete- and continuous-variable interacting systems. The generalization of our developed technique to multipartite scenarios is also provided.