Abstract
In this paper, the effects of the minimum lengths () to the efficiency of a quantum heat engine are considered. A particle in infinite one-dimensional potential well is used as the “working substance”. We obtain quantized energy of particle in the presence of minimal length, and then we do the isoenergetic cycle. We calculate heat exchanged between the system and reservoir, and then we get the efficiency of the engine. We observe that the minimum length increases efficiency of the engine at the small width of the potential well.
Highlights
A deformed quantum mechanics with a generalized Heisenberg Uncertainty (GUP) has been introduced by Kemp et al [1] [2]
There is isoenergetic process that is analogous to the isothermal process; and isoentropic process that is analogous to adiabatic process in classical thermodynamics
The efficiency of quantum heat engine has been calculated in [15]-[17]
Summary
A deformed quantum mechanics with a generalized Heisenberg Uncertainty (GUP) has been introduced by Kemp et al [1] [2]. There exist smallest distance limitations in spacetime, known as minimal lengths. This minimal lengths change quantum mechanics that have been established. The minimum length affects the quantum thermodynamics, quantum generalization of the classical thermodynamics, for instance, quantum heat engine. The efficiency of quantum heat engine has been calculated in [15]-[17]. (2015) Quantum Carnot Heat Engine Efficiency with Minimal Length. We compute the effect of the minimum length on the quantum heat engine efficiency.
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