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Performance of Quantum Otto Cycle via Schrödinger Equation in Deformed Formalism

Mohammad Damghani

Published Jan 1, 2025• 0 citations
Publisher
DOI
10.2139/ssrn.5805365

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DEFORMED OPEN QUANTUM SYSTEMS

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We use the spin-boson model to describe the dynamics of a two-level atom interacting with Fabry-Pérot cavity modes. We solve the Schrödinger equation for the system-bath model without the Born-Markov approximation to derive the non-Markovian reduced dynamics of the qubit. We further construct an exact Lindblad-type master equation for it. Similar to the quantum Otto cycle, we construct a non- Markovian quasi-cyclic process based on the atom-cavity interactions, which we call the quasi-Otto cycle. For judicious choices of input state and parameters, the quasi-cycle can be more efficient as a quantum engine than the Otto cycle. We also showed that if the quasi-cycle is repeated multiple times, the efficiency of the quasi-Otto engine asymptotically approaches that of the Otto engine.
An idealized reversible Otto cycle working with a single quantum mechanical particle contained in a potential well is investigated based on the Schrödinger equation in this paper. The model of a reversible quantum Otto cycle, which consists of two reversible adiabatic and two constant-well widen branches, is established. As an example, we calculate a particularly simple case in which only two of the eigenstates of the potential well contribute to the wave-function in the well. The relationship between the optimal dimensionless work output W