Ground-State Fidelity and Bipartite Entanglement in the Bose-Hubbard Model
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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.
7 pages, 5 figures (endfloats used due to problems with figures and latex. Sorry about that); final version, similar to the published one
7 pages, 5 figures (endfloats used due to problems with figures and latex. Sorry about that); final version, similar to the published one