  In this work, we propose a non-interacting model of Barrow holographic dark
energy (BHDE) using Barrow entropy in a spatially flat FLRW Universe
considering the IR cutoff as the Hubble horizon. We study the evolutionary
history of important cosmological parameters, in particular, EoS
$(\omega_{B})$, deceleration parameter and, the BHDE and matter density
parameter and also observe satisfactory behaviours in the BHDE the model. In
addition, to describe the accelerated expansion of the Universe the
correspondence of the BHDE model with the quintessence scalar field has been
reconstructed.
