Abstract: We consider the quantum Brayton cycle, constructed from non-interacting fermions, trapped in a one-dimensional box. The work and heat in this cycle are calculated from the expectation values of the Hamiltonian. We analytically calculated the efficiency of the cycle, efficiency at maximum work and Clausius relation as the function of the ratio of the lengths. We found that the efficiency of the cycle does not depend on the number of fermions. It depends on the ratios of the lengths of the cycle. While the power depends on the number of fermions....
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