Quantum Heat Engine with Level Degeneracy for Oscillator-shaped Potential Well

Evkaya, Yaman; Ökcü, Özgür; Aydiner, Ekrem

doi:10.1007/s10773-023-05498-3

Int J Theor Phys

2023

DOI: 10.1007/s10773-023-05498-3

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Quantum Heat Engine with Level Degeneracy for Oscillator-shaped Potential Well

Yaman Evkaya,

Özgür Ökcü,

Ekrem Aydiner

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2024

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Cited by 1 publication

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Computational Issues of Quantum Heat Engines with Non-Harmonic Working Medium

Insinga,

Andresen,

Salamon

2024

Entropy

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In this work, we lay the foundations for computing the behavior of a quantum heat engine whose working medium consists of an ensemble of non-harmonic quantum oscillators. In order to enable this analysis, we develop a method based on the Schrödinger picture. We investigate different possible choices on the basis of expanding the density operator, as it is crucial to select a basis that will expedite the numerical integration of the time-evolution equation without compromising the accuracy of the computed results. For this purpose, we developed an estimation technique that allows us to quantify the error that is unavoidably introduced when time-evolving the density matrix expansion over a finite-dimensional basis. Using this and other ways of evaluating a specific choice of basis, we arrive at the conclusion that the basis of eigenstates of a harmonic Hamiltonian leads to the best computational performance. Additionally, we present a method to quantify and reduce the error that is introduced when extracting relevant physical information about the ensemble of oscillators. The techniques presented here are specific to quantum heat cycles; the coexistence within a cycle of time-dependent Hamiltonian and coupling with a thermal reservoir are particularly complex to handle for the non-harmonic case. The present investigation is paving the way for numerical analysis of non-harmonic quantum heat machines.

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Computational Issues of Quantum Heat Engines with Non-Harmonic Working Medium

Insinga,

Andresen,

Salamon

2024

Entropy

View full text Add to dashboard Cite

show abstract

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Quantum Heat Engine with Level Degeneracy for Oscillator-shaped Potential Well

Cited by 1 publication

References 72 publications

Computational Issues of Quantum Heat Engines with Non-Harmonic Working Medium

Computational Issues of Quantum Heat Engines with Non-Harmonic Working Medium

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