In this study, we investigate the late-time accelerated expansion of the universe within the framework of non-minimally coupled f(Q,Lm) gravity, where Q is the non-metricity scalar and Lm is the matter Lagrangian. We derive modified Friedmann equations in a flat FLRW background and employ the \textit{Gong-Zhang} parameterization for the DE equation of state (EoS), allowing an analytical form of the Hubble parameter H(z). The model parameters are constrained using recent Cosmic Chronometers (CC) and Pantheon+SH0ES Type Ia supernova datasets through MCMC-based chi-squared minimization. We analyze various cosmological quantities including the deceleration parameter, EoS, jerk, snap, lerk, and diagnostic tools such as Om(z) and the statefinder pair (r,s). Our findings indicate a viable transition from deceleration to acceleration and reveal a quintessence-to-phantom-like evolution of dark energy. Furthermore, energy conditions are examined, showing a violation of the strong energy condition, consistent with current cosmic acceleration. The results establish that the f(Q,Lm) framework with non-minimal coupling and parameterized EoS provides a compelling alternative to ΛCDM in describing cosmic acceleration.
@article{arxiv.2506.21083,
title = {Exploring Dark Energy via Non-Minimal Coupling in $f(Q,L_m)$ Gravity with Gong-Zhang Parameterization},
author = {Yash B. Ingole and K. V. Somwanshi and S. R. Bhoyar and S. N. Bayaskar},
journal= {arXiv preprint arXiv:2506.21083},
year = {2025}
}