Mode Entanglement and Entangling power in Bosonic Graphs

Details Mode Entanglement and Entangling power in Bosonic Graphs Mode Entanglement and Entangling power in Bosonic Graphs

2003-04-23

arxiv.org/abs/quant-ph/0304151v1

Physics

Quantum Physics

LaTeX, 15 pages, 19 figures

Scientific paper

10.1103/PhysRevA.68.062108

We analyze the quantum entanglement properties of bosonic particles hopping over graph structures.Mode-entanglement of a graph vertex with respect the rest of the graph is generated, starting from a product state, by turning on for a finite time a tunneling along the graph edges. The maximum achieved during the dynamical evolution by this bi-partite entanglement characterizes the entangling power of a given hopping hamiltonian. We studied this entangling power as a function of the self-interaction parameters i.e., non-linearities, for all the graphs up to four vertices and for two different natural choices of the initial state. The role of graph topology and self-interaction strengths in optimizing entanglement generation is extensively studied by means of exact numerical simulations and by perturbative calculations.

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