Entanglement and the Born-Oppenheimer approximation in an exactly solvable quantum many-body system
P. A. Bouvrie,Ana P. Majtey,Ana P. Majtey,Malte C. Tichy,Jesús S. Dehesa,Ángel Ricardo Plastino,Ángel Ricardo Plastino +6 more
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In this paper, the dependence of entanglement on the interparticle interaction strength, on the number of particles, and on the particle masses was investigated in a one-dimensional many-body Moshinsky model.Abstract:
We investigate the correlations between different bipartitions of an exactly solvable one-dimensional many-body Moshinsky model consisting of N
n
“nuclei” and N
e
“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 viewread more
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References
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Book
Dynamical Theory of Crystal Lattices
Max Born,Kʿun Huang +1 more
TL;DR: Born and Huang's classic work on the dynamics of crystal lattices was published over thirty years ago, and it remains the definitive treatment of the subject as mentioned in this paper. But it is not the most complete work on crystal lattice dynamics.
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Zur Quantentheorie der Molekeln
Max Born,Werner Heisenberg +1 more
TL;DR: In der Anwendung der Quantentheorie auf die Molekeln kann man folgende Entwicklungsstufen unterscheiden: Das erste Stadium1) ersetzt die zweiatomige Molekel durch das Hantelmodell, das als einfacher „Rotator“ behandelt wird as discussed by the authors.
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Entanglement in many-body systems
TL;DR: In this article, the properties of entanglement in many-body systems are reviewed and both bipartite and multipartite entanglements are considered, and the zero and finite temperature properties of entangled states in interacting spin, fermion and boson model systems are discussed.
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Colloquium: Area laws for the entanglement entropy
TL;DR: In this paper, the current status of area laws in quantum many-body systems is reviewed and a significant proportion is devoted to the clear and quantitative connection between the entanglement content of states and the possibility of their efficient numerical simulation.
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Entropy and area.
Mark Srednicki,Mark Srednicki +1 more
TL;DR: The ground-state density matrix for a massless free field is traced over the degrees of freedom residing inside an imaginary sphere; the resulting entropy is shown to be proportional to the area (and not the volume) of the sphere.