Quantum heat engine model of mixed triangular spin system as a working substance

In this work, we consider a Heisenberg XXZ mixed (1∕2,1,1∕2) spin system on a triangular cell. We briefly summarize the theoretical framework. Then, we compute the energy eigenvalues for all eigenstates of the Hamiltonian model and we set a four-stroke Otto cycle to depend on the thermodynamical cyc...

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Bibliographic Details
Published in:Physica A 2018-11, Vol.509, p.766-776
Main Authors: Aydiner, Ekrem, Han, Seyit Deniz
Format: Article
Language:English
Subjects:
Energy extraction
Quantum heat engines
Quantum thermodynamics
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Summary:In this work, we consider a Heisenberg XXZ mixed (1∕2,1,1∕2) spin system on a triangular cell. We briefly summarize the theoretical framework. Then, we compute the energy eigenvalues for all eigenstates of the Hamiltonian model and we set a four-stroke Otto cycle to depend on the thermodynamical cycle based on the theoretical framework. In the numerical procedure, based on eigenenergies of the system, we compute the work and the efficiency for different spin interaction couplings for the four-stroke quantum Otto cycle. We show that the Heisenberg XXZ mixed spin model produce positive work and efficiency, when the system is coupled to an oscillating heat bath reservoir. Finally, we investigate magnetic field dependence of the work for several spin coupling and discuss all the results. •A quantum Otto heat engine is established.•The work output and efficiency are calculated.•The work and efficiency are discussed for all different magnetic phases.
ISSN:0378-4371
1873-2119
DOI:10.1016/j.physa.2018.06.018