Superconducting Coherent States for an Extended Hubbard Model

TL;DR

This paper introduces q-coherent states in an extended Hubbard model with phonons, demonstrating their potential for lower energy states and the presence of off-diagonal long-range order, advancing understanding of superconducting quantum symmetries.

Contribution

The paper constructs and analyzes q-coherent states in an extended Hubbard model, revealing their unique properties and potential advantages over traditional eigenstates.

Findings

q-coherent states can have lower energy expectation than conventional eigenstates

They exhibit off-diagonal long-range order (ODLRO)

These states enhance understanding of superconducting quantum symmetries

Abstract

An extended Hubbard model with phonons is considered. q-coherent states relative to the superconducting quantum symmetry of the model are constructed and their properties studied. It is shown that they can have energy expectation lower than eigenstates constructed via conventional processes and that they exhibit ODLRO.