TL;DR
This paper investigates quantum entanglement among free particles by solving the Schrödinger equation, analyzing correlations, and extending the framework to open systems with dissipation, revealing a new conserved quantity for quantum information storage.
Contribution
It introduces a novel approach to study entanglement in free particles and discovers a new integral of motion in dissipative quantum systems.
Findings
Correlation decay over time in dissipative systems
Existence of a new integral of motion for quantum information
Extension of quantum mechanics to open systems with friction
Abstract
The Schrodinger equation is solved for many free particles and their quantum entanglement is studied via correlation analysis. Converting the Schrodinger equation in the Madelung hydrodynamic-like form, the quantum mechanics is extended to open quantum systems by adding Ohmic friction forces. The dissipative evolution confirms the correlation decay over time, but a new integral of motion is discovered, being appropriate for storing everlasting quantum information.
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