We present a scheme, based on Bloch equations and Zeno-type measurements, that allows the control of the probability density evolution of the eigenstates of a V-type system. The equations are solved numerically and we present how the population in each level can be controlled using different sequences of “pulse measurements”. The entropy between the “measurement device” and the field used to perform the measurement process is evaluated for different strengths of such field, these calculations show that the entropy is maximized when we are in the Zeno regime. The results shown here unveil different possible strategies for controlling the population levels of a V-type system and could be implemented, for example, in trapped ions or RMN qubits.

This work extends the steady flow Lenoir cycle within finite-time thermodynamics (FTT) by incorporating heat transfer irreversibilities through the $\epsilon -NTU$ formalism and a non-isentropic expansion modeled via the expander isentropic efficiency ${\eta }_E$. The total conductance $U_T$ (sum for the two heat exchangers) is partitioned between hot and cold units using $u_L=U_L/U_T$, with $U_T=U_H+U_L$. For each triplet ($\tau =T_H/T_L$, $U_L$, $U_T$), we closed the cycle by determining $T_1$, the working fluid temperature at the cooler outlet and heater inlet, $T_2$, the heater outlet and expander inlet, and $T_3$, the expander outlet and cooler inlet. Using these states, we compute the heat rates ${\dot{Q}}_{12}$, ${\dot{Q}}_{31}$ and the net power $P$. In addition to the thermal efficiency $\eta$, the following extended objective functions are evaluated: the efficient power $E_F$, the ecological efficiency $\varphi$, and the second law efficiency ${\eta }_{II}$. Parametric sweeps on $u_L$ for $\tau ϵ \left\{3.25,3.75\right\}$ and $U_{T }ϵ \left\{\mathrm{2.5,5.0},\mathrm{7.5,10}\right\} \mathrm{k}\mathrm{W}$ show unimodal curves for P($u_L$) and maxima. A robust result places the optima of $P$, $\eta$, $E_F$, $\varphi$, and ${\eta }_{II}$ in a distribution band at $u_L~0.6$. This guideline offers clear design guidance for allocating exchange area in heat recovery and microgeneration, maximizing power, high η, and exergetic utilization with contained entropic penalty.