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

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

2006-12-22

arxiv.org/abs/cond-mat/0612590v3

Physical Review Letters 98, 110601 (2007)

Physics

Condensed Matter

Other Condensed Matter

7 pages, 5 figures (endfloats used due to problems with figures and latex. Sorry about that); final version, similar to the pu

Scientific paper

10.1103/PhysRevLett.98.110601

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.

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