Density Matrix Spectra and Order Parameters in the 1D Extended Hubbard Model

Abstract

Without any knowledge of the symmetry existing in the system, we derive the exact forms of the order parameters which show long-range correlation in the ground state of the one-dimensional extended Hubbard model using a quantum information approach. Our work demonstrates that the quantum information approach can help us to find the explicit form of the order parameter, which cannot be derived systematically via traditional methods in the condensed matter theory.

9 pages, 14 figures

References in corpus (8)

• Area laws in quantum systems: mutual information and correlations
• Phase diagram of the one-dimensional half-filled extended Hubbard model
• Dimerization in a half-filled one-dimensional extended Hubbard model
• Ground-state phase diagram of the one-dimensional half-filled extended Hubbard model
• Universal role of correlation entropy in critical phenomena
• Systematic Derivation of Order Parameters through Reduced Density Matrices
• Density-matrix based numerical methods for discovering order and correlations in interacting systems
• Spinon and eta-spinon correlation functions

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• Transfer learning of many-body electronic correlation entropy from local measurements