Preprint Article Version 1 This version is not peer-reviewed

# Magnetic Otto Engine for an Electron in a Quantum Dot: Classical and Quantum Approach

Version 1 : Received: 7 January 2019 / Approved: 9 January 2019 / Online: 9 January 2019 (07:42:42 CET)

How to cite: Peña, F.J.; Negrete, O.; Alvarado Barrios, G.; Zambrano, D.; González, A.; Nuñez, A.S.; Orellana, P.A.; Vargas, P. Magnetic Otto Engine for an Electron in a Quantum Dot: Classical and Quantum Approach. Preprints 2019, 2019010079 (doi: 10.20944/preprints201901.0079.v1). Peña, F.J.; Negrete, O.; Alvarado Barrios, G.; Zambrano, D.; González, A.; Nuñez, A.S.; Orellana, P.A.; Vargas, P. Magnetic Otto Engine for an Electron in a Quantum Dot: Classical and Quantum Approach. Preprints 2019, 2019010079 (doi: 10.20944/preprints201901.0079.v1).

## Abstract

We study the performance of a classical and quantum magnetic Otto cycle with a quantum dot as a working substance using the Fock-Darwin model with the inclusion of the Zeeman interaction. Modulating an external/perpendicular magnetic field, we found in the classical approach an oscillating behavior in the total work that is not perceptible under the quantum formulation. Also, we compare the work and efficiency of this system for different regions of the Entropy, $S(T,B)$, diagram where we found that the quantum version of this engine always shows a reduced performance in comparison to his classical counterpart.

## Subject Areas

magnetic cycle; quantum otto cycle; quantum thermodynamics