Entanglement from the Dynamics of an Ideal Bose Gas in a Lattice

TL;DR

This paper demonstrates how the dynamics of an ideal Bose gas in a lattice can generate and enhance long-range entanglement between distant sites, surpassing ground state entanglement, with potential applications in quantum information processing.

Contribution

It introduces a novel dynamical method to produce and verify high-range entanglement in a Bose gas lattice, exceeding ground state entanglement levels.

Findings

Entanglement between distant lattice sites can be generated dynamically.

Additional measurements can significantly enhance entanglement and lattice separation.

Dynamical entanglement exceeds that of the ground state in the same system.

Abstract

We show how the remotest sites of a finite lattice can be entangled, with the amount of entanglement exceeding that of a singlet, solely through the dynamics of an ideal Bose gas in a special initial state in the lattice. When additional occupation number measurements are made on the intermediate lattice sites, then the amount of entanglement and the length of the lattice separating the entangled sites can be significantly enhanced. The entanglement generated by this dynamical procedure is found to be higher than that for the ground state of an ideal Bose gas in the same lattice. A second dynamical evolution is shown to verify the existence of these entangled states, as well entangle qubits belonging to well separated quantum registers.