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

Abstract

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.

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• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
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Cited by in corpus (1)

• Universal entanglement entropy in the ground state of biased bipartite systems