Power law decay of entanglement quantifiers in a single agent to a many body system coupling

Manipulating many body quantum systems is a challenge. A useful way to achieve it would be to entangle the system to a diluted system, with a small particle number. Preparation of such entangled states can be facilitated as ground state of a many body Hamiltonian or the steady state of a many body o...

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Bibliographic Details
Published in:arXiv.org 2022-04
Main Author: Shpielberg, Ohad
Format: Article
Language:English
Subjects:
Coupling
Decay
Occupancy
Power law
Quantum entanglement
Quantum theory
Subsystems
Online Access:Get full text
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Summary:Manipulating many body quantum systems is a challenge. A useful way to achieve it would be to entangle the system to a diluted system, with a small particle number. Preparation of such entangled states can be facilitated as ground state of a many body Hamiltonian or the steady state of a many body open quantum system. Here we study two-site lattice models with a conserved boson number, biased to display a large occupancy in one of the sites. The Von Neumann entanglement entropy as well as the Logarithmic negativity show a typical power law decay in \(R\), the occupancy ratio between the two sites. These results imply that it is feasible to entangle a large many body system to a single atom, as recently reported experimentally.
ISSN:2331-8422
DOI:10.48550/arxiv.2109.09158