A thermodynamically consistent Markovian master equation beyond the secular approximation

Markovian master equations provide a versatile tool for describing open quantum systems when memory effects of the environment may be neglected. As these are an approximate nature, they often do not respect laws thermodynamics no secular approximation is performed in their derivation. Here we introduce equation that thermodynamically consistent and provides accurate description whenever can The thermodynamic consistency obtained through rescaled Hamiltonian bookkeeping, exploiting fact implies limited resolution heat. Our results enable variety where breaks down.