  The time evolution of quantum Fisher information, quantum coherence, and
non-Markovianity of a V-type three-level atom embedded in free space or a
photonic band gap crystal have been investigated. It has been demonstrated that
the photonic band gap crystal, as a structured environment, significantly
influences the preservation and enhancement of these quantum features.
Additionally, we observe that by manipulating the initial relative phase values
encoded in the atomic state and the relative positions of the upper levels
within the forbidden gap, control over the dynamics of quantum features can be
achieved. These findings highlight the potential benefits of utilizing photonic
band gap crystals in quantum systems, offering improved preservation and
manipulation of quantum information. The ability to control quantum features
opens new avenues for applications in quantum information processing and
related technologies.
