Dimensional enhancements in a quantum battery with imperfections

We show that the average power output of a quantum battery based on a quantum interacting spin model, charged via a local magnetic field, can be enhanced with the increase of spin quantum number, thereby exhibiting dimensional advantage in quantum batteries. In particular, we demonstrate such increment in the power output when the initial state of the battery is prepared as the ground or canonical equilibrium state of the spin-j XY model and the bilinear-biquadratic spin-j Heisenberg chain (BBH) in presence of the transverse magnetic field and a weak value of interaction strength between the spins in the former model. Interestingly, we observe that in the case of the XY model, a tradeoff relation exists between the range of interactions in which the power increases and the dimension, while for the BBH model, the improvements depend on the phase in which the initial state is prepared. Moreover, we exhibit that such dimensional advantages persist even when the battery Hamiltonian has some defects or when the initial battery state is prepared at finite temperature.

Automated summary

In this study, we demonstrate that the average output power of a quantum battery can be enhanced by increasing the spin quantum number, exhibiting dimensional advantage. Specifically, the power output increases in certain initial states and under specific conditions. For the XY model, there is a tradeoff between the interaction range and dimension, while for the BBH model, the improvements depend on the initial state's phase. Furthermore, we show that this dimensional advantage persists even in the presence of defects in the battery Hamiltonian or when the initial battery state is prepared at finite temperature.