Thermal quantum correlations and disorder in a fermionic system described by the extended Fermi–Hubbard-like model

Abstract This research investigates thermal quantum correlations in a fermionic system modeled using an extended Fermi–Hubbard-like model. We examine the impacts of noisy temperature, local chemical potential, and nearest-neighbor interaction. The Fermi–Hubbard model provides a framework for understanding fermion interactions in a lattice and shows potential for simulating fermionic systems with superconducting circuits in quantum simulation. Using the Jordan–Wigner transformation, we convert the fermionic system into a qubit system, bridging quantum information and particle physics. Thermal entanglement is assessed using concurrence measurement, while thermal quantum correlations are measured through trace distance discord and local quantum uncertainty. Our findings indicate that increasing temperature causes disorder, negatively affecting quantum entanglement and correlations. However, by adjusting the nearest-neighbor interaction strength and local potential, we can mitigate thermal noise effects, enhancing correlations and entanglement. Selecting appropriate parameters can ensure the system’s potential for quantum technology development.