Quantum Renormalization Group for Ground-State Fidelity

Details Quantum Renormalization Group for Ground-State Fidelity Quantum Renormalization Group for Ground-State Fidelity

2011-08-15

arxiv.org/abs/1108.3026v2

Physics

Quantum Physics

5 pages and 5 figures (revised)

Scientific paper

Ground-state fidelity (GSF) and quantum renormalization group theory (QRG) have proven useful tools in the study of quantum critical systems. Here we lay out a general, unified formalism of GSF and QRG; specifically, we propose a method to calculate GSF through QRG, obviating the need for calculating or approximating ground states. This method thus enhances characterization of quantum criticality as well as scaling analysis of relevant properties with system size. We illustrate the formalism in the one-dimensional Ising model in a transverse field and the anisotropic spin-1/2 Heisenberg model.

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