Ground-state fidelity and bipartite entanglement in the Bose-Hubbard model

Year: 2007

Authors: Buonsante P., Vezzani A.

Autors Affiliation: 1) Dipartimento di Fisica, Politecnico di Torino, Corso Duca degli Abruzzi 24, I-10129 Torino, Italy
2) Dipartimento di Fisica, Università degli Studi di Parma, Parco Area delle Scienze 7/a, I-43100 Parma, Italy

Abstract: We analyze the quantum phase transition in the Bose-Hubbard model borrowing two tools from quantum-information theory, i.e., the ground-state fidelity and entanglement measures. We consider systems at unitary filling comprising up to 50 sites and show for the first time that a finite-size scaling analysis of these quantities provides excellent estimates for the quantum critical point. We conclude that fidelity is particularly suited for revealing a quantum phase transition and pinning down the critical point thereof, while the success of entanglement measures depends on the mechanisms governing the transition.

Journal/Review: PHYSICAL REVIEW LETTERS

Volume: 98 (11)      Pages from: 110601-1  to: 110601-4

KeyWords: entanglement; fidelity; quantum phase transitions
DOI: 10.1103/PhysRevLett.98.110601

Citations: 194
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