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This paper investigates the numerical evolution of entanglement entropy in non-relativistic particle collisions governed by the Schrödinger equation, revealing universal trends across various interaction potentials and energy regimes. The study provides foundational insights into quantum information dynamics during scattering processes, which is relevant for understanding decoherence and correlation generation in isolated quantum systems.
Source coveringarXiv

Entanglement Entropy in Non Relativistic Collisions

arXiv1 min read

arXiv:2611.06774v1 Announce Type: new Abstract: We study numerically the build-up of entanglement entropy between two colliding, non relativistic particles, that are driven by the plain Schr\"odinger equation containing local, finite range potentials, and whose initial state is the product of two independent wave packets. Different situations are considered, ranging from a tunnel and mirror effect at low energy in front of a barrier, to higher energies, and also attraction rather than repulsion. While the calculated wave functions and density matrices significantly depend on the physical situations described by our models, the build-up trends and values in time of entanglement entropy look surprisingly alike one another.

Abstract:We study numerically the build-up of entanglement entropy between two colliding, non relativistic particles, that are driven by the plain Schrödinger equation containing local, finite range potentials, and whose initial state is the product of two independent wave packets. Different situations are considered, ranging from a tunnel and mirror effect at low energy in front of a barrier, to higher energies, and also attraction rather than repulsion. While the calculated wave functions and density matrices significantly depend on the physical situations described by our models, the build-up trends and values in time of entanglement entropy look surprisingly alike one another.

arXiv:2611.06774 [quant-ph]

(or arXiv:2611.06774v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2611.06774 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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Full text under the publisher's open licence · 191 words

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