Quantum Cycle in Relativistic Non-Commutative Space with Generalized
Uncertainty Principle correction
- URL: http://arxiv.org/abs/2010.06672v1
- Date: Tue, 13 Oct 2020 20:08:45 GMT
- Title: Quantum Cycle in Relativistic Non-Commutative Space with Generalized
Uncertainty Principle correction
- Authors: Pritam Chattopadhyay, Tanmoy Pandit, Ayan Mitra, Goutam Paul
- Abstract summary: Two different working substance in non-commutative spacetime with relativistic and generalized uncertainty principle corrections has been considered.
The efficiency of the quantum heat engine gets a boost for higher values of the non-commutative parameter.
In the case of the second working medium (one-dimensional infinite potential well), the efficiency shows a constant result in the non-commutative space structure.
- Score: 2.406160895492247
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Quantum heat cycles and quantum refrigerators are analyzed using various
quantum systems as their working mediums. For example, to evaluate the
efficiency and the work done of the Carnot cycle in the quantum regime, one can
consider the harmonic oscillator as it's working medium. For all these
well-defined working substances (which are analyzed in commutative space
structure), the efficiency of the engine is not up to the mark of the Carnot
efficiency. So, one inevitable question arise, can one observe a catalytic
effect on the efficiency of the engines and refrigerators when the space
structure is changed? In this paper, two different working substance in
non-commutative spacetime with relativistic and generalized uncertainty
principle corrections has been considered for the analysis of the efficiency of
the heat engine cycles. The efficiency of the quantum heat engine gets a boost
for higher values of the non-commutative parameter with a harmonic oscillator
as the working substance. In the case of the second working medium
(one-dimensional infinite potential well), the efficiency shows a constant
result in the non-commutative space structure.
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