Quantum Carnot Heat Engine Efficiency with Minimal Length

Abstract

In this paper, the effects of the minimum lengths (  β ) 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.

Relativistic quantum heat engine with the presence of minimal length

“…Several attempts were made, such as using a harmonic oscillator as a working substance [8][9][10], utilizing quantum entanglement [11][12][13][14][15], and modifying the thermodynamic cycle [16][17][18]. Exploration of the efficiency of quantum heat engines eventually involves minimal length, which is a topic of discussion in quantum gravity [19].…”

The Use of Dirac Oscillator as Medium Substrate for Quantum Heat Engine

“…A wide range of medium substrates for quantum heat engines has been proposed, such as a one-dimensional potential well [1][2][3][4][5], a harmonic oscillator [6][7][8], etc. There have also been studied quantum heat engines with minimal length [9]. For one-dimensional potential well, the efficiency of non-relativistic and relativistic quantum heat engines have been compared.…”

Quantum Ericson Engine with Multiple States in One Dimensional Potential Well

“…Bender's research was successful in articulating the efficiency of the quantum Carnot engine, paving the way for further quantum heat engine research. [4,5,6,7,8,9,10,11,12,13,14].…”