Global and local performance of a quantum battery under correlated noise channels

We investigate the global and local performances of a quantum battery exposed to the depolarizing and bit-flip channels, respectively, using the correlation matrix method. The battery is initially prepared as the highest-energy state of a two-qubit Ising model with open boundary conditions and is discharged via interaction with local noise channels. We show that compared to the independent noise channels, the correlated noise channels provide varying degrees of protection for the global and local performances of the Ising battery. The correlated depolarizing channel not only protects the global energy, ergotropy, and capacity of the Ising battery, but also protects the local ergotropy and capacity, whereas the correlated bit-flip channel provides protection only for the global ergotropy and capacity of the Ising battery. In both the correlated depolarizing and bit-flip channels, the greater the correlation strength, the greater the protective effect. Furthermore, we also use the same method to investigate the protective effect of correlated channels on the performances of the multiqubit battery and general Heisenberg battery in noise channels.