2007/04/23 by Huan-Qiang Zhou, Zhou, Huan-Qiang · 1 citation
Physics and Astronomy · Economics, Econometrics and Finance · #Advanced Thermodynamics and Statistical Mechanics #Quantum many-body systems #Complex Systems and Time Series Analysis
paper · pdf · doi:10.48550/arxiv.0704.2945
We compare the roles of fidelity and entanglement in characterizing renormalization group flows and quantum phase transitions. It turns out that the scaling parameter extracted from fidelity for different ground states succeeds to capture nontrivial information including stable and unstable fixed points, whereas the von Neumann entropy as a bipartite entanglement measure (or equivalently, majorization relations satisfied by the spectra of the reduced density matrix along renormalization group flows) often fails, as far as the intrinsic irreversibility-information loss along renormalization group flows-is concerned. We also clarify an intimate connection between the von Neumman entropy, majorization relations, and fidelity. The relevance to Zamolodchikov's c theorem is indicated.