An Optimized Quantum Otto Engine With Squeezed Thermal Reservoirs

Abstract

A quantum Otto engine with squeezed thermal reservoir as its working substances studied for an adiabatic operation at both symmetric thermal reservoirs, (rc = rh ) and asymmetric thermal reserviors (rc ,h ). The power and efficiency of the heat engine are derived analytically as functions of the temperature ratio. Using the optimization methods suggested by A.C Hernandez et: al, the heat engine is effectively optimized and found to yield better working conditions in some ranges of temperature ratios. In symmetric thermal reservoir, the figure of merit, a quantity defined as a product of scaled power and scaled efficiency, is found to be greater than unity in range of 0 ≤ Tc Th ≤ 0.22. Under the same condition, the figure of merit is found to be less than unity in the range of 0.22 < Tc Th ≤ 0.5. Similarly, in asymmetric thermal reservoir the figure of merit, is found to be greater than one in the range of 0 ≤ Tc Th ≤ 0.047. Under the same case, it is found to be less than one in the range 0.047 < Tc Th ≤ 0.1. It means that in some ranges of the temperature ratios, it is found to work better in the optimized condition whereas, in other ranges it better performs under maximum power working condition. So, it is possible to switch the engine between optimized condition and maximum power working conditio