  In this work, we investigate the non-Markovianity, quantum Fisher information
(QFI) and quantum coherence of a qubit in a nonequilibrium environment and have
obtained the expressions of QFI and quantum coherence as well as their
relationship. We have also discussed in detail the influences of the different
noise parameters on these quantum sffects. The results show that the suitable
parameters of the nonequilibrium environment can retard the QFI and quantum
coherence in both Markovian and non-Markovian regions. In addition, the smaller
memory effects and the larger the jumping rate, the greater the QFI and quantum
coherence. And a larger QFI naturally corresponds to a larger quantum
coherence, which indicates that the quantum coherence can enlarge the QFI and
can effectively enhance the quantum metrology.
