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arXiv:2301.07987 · Quantum Information Processing

Quantum Otto heat engines on XYZ spin working medium with DM and KSEA interactions: operating modes and efficiency at maximal work output

E. I. Kuznetsova, Mikhail A. Yurischev, Saeed Haddadi

Published Apr 28, 2023• 24 citations
arXivHTMLPDF
DOI
10.1007/s11128-023-03944-z

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We study a quantum Otto heat engine whose working substance is an anisotropic two-qubit Heisenberg XYZ model. Independent local magnetic fields are used to control each spin individually. The influence of the longitudinal coupling, anisotropy, transverse coupling, and local fields on the net work output and efficiency is systematically examined. Reducing the longitudinal coupling is found to markedly improve both the maximum work and the peak efficiency. The engine performance reaches an optimum at a particular value of the anisotropy parameter. A local work analysis clarifies how work is produced during the cycle. Because of the asymmetric local fields and the intrinsic spin-spin interaction, the two qubits play markedly different thermodynamic roles; the interaction term itself contributes crucially to the total work. We further analyze the variation of quantum entanglement, quantified by concurrence, along the cycle. The results indicate that a pronounced change in entanglement between the hot and cold isomagnetic strokes is closely correlated with the efficiency enhancement. This work offers new insight into the operating principles and control of quantum Otto heat engines.
We investigate a quantum Otto engine with a quantum Ising spin glass as the working medium to explore the scaling behavior of work output and thermodynamic performance concerning system size, particularly near the critical point. Specifically, we explore the two operating modes of the Otto engine, namely the heat engine and refrigerator modes. We observe a double-peaked structure in the heat engine regime, leading to superlinear scaling in both work output and thermodynamic performance near the critical point. Additionally, in the refrigerator regime, superlinear scaling in refrigerator efficiency can be achieved at high and low temperatures, significantly outperforming models with uniform Ising interactions. These findings suggest that disorder and frustration in quantum Ising spin-glass systems could significantly impact thermodynamic performance in quantum heat engines and refrigerators, potentially opening up new avenues for improvement.
Multiparameter quantum Otto engines raise an optimization problem absent in single-parameter cycles: which small quench vector maximizes the quadratic approximation to the exact output work in a multidimensional control space? We develop a local response theory for sudden-quench Otto engines with quantum working media described by linearly controlled Hamiltonians. We show that the local quadratic work decomposes into a thermal-bias gain and a quadratic response cost, whose competition determines the quench vector that maximizes the local quadratic work at a prescribed quench amplitude. We illustrate the theory in a minimal two-level working medium, where radial and transverse quenches play distinct roles, and in a finite interacting XYZ spin chain, where the resulting quench vector is determined by the balance between thermal-bias and response cost. Our results provide a practical local criterion for designing small multiparameter quenches in sudden-quench quantum Otto engines.