We study the backaction of quantum measurements on heat transport through a two-level system by considering continuous measurement onto an eigenstate system. For nonselective measurement, appears as dephasing effect formulate current under selective with stochastic master equation and show that cross-correlation between outcomes contains information backaction. expect our findings can be verifi...

We derive a Born-Markov master equation describing the dissipation induced by bath of lossy but coherently driven two-level systems (TLS) coupled to bosonic system via Jaynes-Cummings interaction. analytically all rates. characterize these rates for particular case single-mode identical TLS. study steady state and its exotic properties stemming from non-thermal stationary TLS bath. These includ...