Dynamics of mode entanglement induced by particle-tunneling in the extended Bose-Hubbard dimer model

TL;DR

This paper investigates how particle tunneling influences the evolution of mode entanglement in a two-boson system, revealing complex dynamics that can be controlled through tunneling rates and initial state preparation.

Contribution

It provides a detailed analysis of mode entanglement dynamics in the extended Bose-Hubbard dimer model, highlighting how tunneling affects entanglement evolution and offering guidance for its control.

Findings

Entanglement remains stationary when boson numbers are conserved.

Tunneling induces rich and controllable entanglement dynamics.

Initial state preparation influences the entanglement evolution.

Abstract

The evolution of mode entanglement is analysed for a system of two indistinguishable bosons with two accessible modes. Whereas entanglement remains stationary whenever the number of bosons in each mode is left invariant, it exhibits a rich dynamics under the effects of single- and two-particle tunneling. By analysing such effects in paradigmatic families of states, our results provide guidance for the design and control of specific dynamics of mode entanglement, by varying the tunneling transition rates and the preparation of the initial state.