Collective effects and quantum coherence in dissipative charging of quantum batteries

We consider the dissipative charging process of quantum batteries in terms a collisional model, where are coupled to heat bath using non-energy preserving interactions. First, we show that for low temperatures collective can attain power increases polynomically with number batteries. The scaling find is $N^3$ that, while being grater than bound obtained unitary processes, it has lower efficiency. Then, study single battery time dependent Hamiltonian generates coherences energy basis. In this case presence coherence could enhance and also its Finally, how be used engine contains as one open strokes.