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Entanglement and the Born-Oppenheimer approximation in an exactly solvable quantum many-body system

Bouvrie, Peter A. et al · Springer · 2014

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We investigate the correlations between different bipartitions of an exactly solvable one-dimensional many-body Moshinsky model consisting of Nn nuclei and Ne electrons. We study the dependence of entanglement on the inter-particle interaction strength, on the number of particles, and on the particle masses. Consistent with kinematic intuition, the entanglement between two subsystems vanishes when the subsystems have very different masses, while it attains its maximal value for subsystems of comparable mass. We show how this entanglement feature can be inferred by means of the Born-Oppenheimer Ansatz, whose validity and breakdown can be understood from a quantum information point of view. Fil: Bouvrie, Peter A.. Universidad de Granada; España Fil: Majtey, Ana Paula. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad de Granada; España. Universidade Federal do Rio de Janeiro; Brasil

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APA 7

Bouvrie, P. A. E. A. (2014). Entanglement and the Born-Oppenheimer approximation in an exactly solvable quantum many-body system. http://hdl.handle.net/11336/36544

MLA

Bouvrie, Peter A. et al. "Entanglement and the Born-Oppenheimer approximation in an exactly solvable quantum many-body system." 2014. http://hdl.handle.net/11336/36544.

Chicago

Bouvrie, Peter A. et al. 2014. "Entanglement and the Born-Oppenheimer approximation in an exactly solvable quantum many-body system.". http://hdl.handle.net/11336/36544.

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Bouvrie, P. A. E. A. 2014, Entanglement and the Born-Oppenheimer approximation in an exactly solvable quantum many-body system, Springer, available at: http://hdl.handle.net/11336/36544 [Accessed 7 Aug. 2026].

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Title
Entanglement and the Born-Oppenheimer approximation in an exactly solvable quantum many-body system
Author / contributors
Bouvrie, Peter A. et al
Publisher
Springer
Publication year
2014
ISSN
1434-6060
ISSN
1434-6060
Language
English

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