Mode Entanglement and Entangling power in Bosonic Graphs

Abstract

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.

LaTeX, 15 pages, 19 figures

References in corpus (5)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Controlling Spin Exchange Interactions of Ultracold Atoms in Optical Lattices
• The entanglement of indistinguishable particles shared between two parties
• Entanglement of two-mode Bose-Einstein condensates
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• Coupling bosonic modes with a qubit: entanglement dynamics at zero and finite-temperatures
• Entanglement in the Bogoliubov vacuum
• Relation between two measures of entanglement in spin-1/2 and spinless fermion quantum chain systems
• A single photon produces general W state of N qubits and its application