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

TL;DR

This paper uses a quantum information approach to derive explicit order parameters with long-range correlations in the ground state of the 1D extended Hubbard model, revealing new insights beyond traditional methods.

Contribution

It introduces a quantum information method to systematically find order parameters in the 1D extended Hubbard model without prior symmetry knowledge.

Findings

Derived exact forms of order parameters showing long-range order

Demonstrated the effectiveness of quantum information methods in condensed matter

Provided explicit order parameters not obtainable by traditional approaches

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.