Ground-State Fidelity and Bipartite Entanglement in the Bose-Hubbard Model

2006/12/31 by P. Buonsante, Pierfrancesco Buonsante, A. Vezzani +1 · 7 citations
Computer Science · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum Information and Cryptography #Quantum many-body systems #cond-mat.other #quant-ph

paper · pdf · doi:10.1103/physrevlett.98.110601

published as Physical Review Letters 98, 110601 (2007) · 7 pages, 5 figures (endfloats used due to problems with figures and latex. Sorry about that); final version, similar to the published one

openalex publication_date 2007/03/16 · arxiv created 2007/03/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Validity of many-body approximation methods for a solvable model

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