Entanglement of indistinguishable particles as a probe for quantum phase transitions in the extended Hubbard model

Abstract

We investigate the quantum phase transitions of the extended Hubbard model at half-filling with periodic boundary conditions employing the entanglement of particles, as opposed to the more traditional entanglement of modes. Our results show that the entanglement has either discontinuities or local minima at the critical points. We associate the discontinuities to first order transitions, and the minima to second order ones. Thus we show that the entanglement of particles can be used to derive the phase diagram, except for the subtle transitions between the phases SDW-BOW, and the superconductor phases TS-SS.

Improved text and dicussions. Added finite size scaling analysis. 9 pages, 8 figures. Accepted for publication in Phys. Rev. B

References in corpus (13)

• The density-matrix renormalization group in the age of matrix product states
• General criterion for the entanglement of two indistinguishable particles
• Entanglement in fermionic systems
• Phase diagram of the one-dimensional half-filled extended Hubbard model
• Entanglement and Particle Identity: A Unifying Approach
• Entanglement, Particle Identity and the GNS Construction: A Unifying Approach
• Dimerization in a half-filled one-dimensional extended Hubbard model
• Separability Criteria and Entanglement Measures for Pure States of N Identical Fermions
• Entanglement of Indistinguishable Particles
• Gap scaling at Berezinskii-Kosterlitz-Thouless quantum critical points in one-dimensional Hubbard and Heisenberg models
• Computable Measures for the Entanglement of Indistinguishable Particles
• Entanglement Witnesses for Indistinguishable Particles
• Quantifying Quantum Correlations in Fermionic Systems using Witness Operators

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