Volume 68, Number 2, October 2004
|Page(s)||163 - 169|
|Published online||01 October 2004|
Ground-state entanglement in interacting bosonic graphs
Institute for Scientific Interchange (ISI), Villa Gualino Viale Settimio Severo 65, I-10133 Torino, Italy
2 Istituto Nazionale per la Fisica della Materia (INFM), UdR Torino-Politecnico I-10129 Torino, Italy
3 Department of Mechanical Engineering, Massachusetts Institute of Technology Cambridge, MA 02139, USA
Accepted: 28 June 2004
We consider a collection of bosonic modes corresponding to the vertices of a graph Γ. Quantum tunneling can occur only along the edges of Γ and a local self-interaction term is present. Quantum entanglement of one vertex with respect to the rest of the graph (mode entanglement) is analyzed in the ground state of the system as a function of the tunneling amplitude τ. The topology of Γ plays a major role in determining the tunneling amplitude that leads to the maximum value of the mode entanglement. Whereas in most of the cases one finds the intuitively expected result , we show that there exists a family of graphs for which the optimal value of τ is pushed down to a finite value. We also show that, for complete graphs, our bi-partite entanglement provides useful insights in the analysis of the crossover between insulating and superfluid ground states.
PACS: 03.67.Mn – Entanglement production, characterization, and manipulation / 03.75.Gg – Entanglement and decoherence in Bose-Einstein condensates / 03.75.Lm – Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices and topological excitations
© EDP Sciences, 2004
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.