1207.6149 (E. Munoz et al.)
E. Munoz, F. J. Pena
We studied the efficiency of two different schemes for a quantum heat engine, by considering a single Dirac fermion trapped in a one-dimensional potential well as the "working substance". The first scheme is a cycle, composed of two adiabatic and two iso-energetic reversible trajectories in configuration space. The trajectories are driven by a quasi-static deformation of the potential well due to an external applied force. The second scheme is a variant of the former, where iso-energetic trajectories are replaced by isothermal ones, along which the system is in contact with macroscopic thermostats. This second scheme constitutes a quantum analogue of the classical Carnot cycle. Our expressions, as obtained from the Dirac single-particle spectrum, converge in the non-relativistic limit to some of the existing results in the literature for the Schr\"odinger spectrum
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http://arxiv.org/abs/1207.6149
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