Many boson quantum Szilard engine for fractional power law potential
- URL: http://arxiv.org/abs/2309.07167v1
- Date: Tue, 12 Sep 2023 06:33:53 GMT
- Title: Many boson quantum Szilard engine for fractional power law potential
- Authors: Najirul Islam
- Abstract summary: We have realized the quantum Szilard engine (QZE) for non-interacting bosons.
We have calculated the work and the efficiency for non-interacting bosons in fractional power potential.
We also have realized the QZE for a single-particle in a Morse potential revealing how the depth of the potential impacts both work and efficiency.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: In this article, we have realized the quantum Szilard engine (QZE) for
non-interacting bosons. We have adopted the Bose-Einstein statistics for this
purpose. We have considered fractional power law potential for this purpose and
have used the artifact of the quantization of energy. We have calculated the
work and the efficiency for non-interacting bosons in fractional power
potential. We have shown the dependence of the number of particles for the work
and the efficiency. We also have realized the QZE for a single-particle in a
Morse potential revealing how the depth of the potential impacts both work and
efficiency. Furthermore, we have examined the influence of temperature and the
anharmonicity parameter on the work. Finally, we have conducted a comparative
analysis, considering both non-interacting bosons in a fractional power law
potential and a single-particle in a Morse potential under harmonic
approximation conditions.
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