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Performance Statistics - figures 2,3,5,6,7

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posted on 2025-07-21, 10:12 authored by Theodore McKeeverTheodore McKeever
<p dir="ltr">Plotted data for figures 2,3,5,6,7 of publication: "A Finite-Time Quantum Otto Engine subject to Control Noise and Enhancement Techniques"</p><p dir="ltr">Structure:</p><p dir="ltr">8 files: {NA lambda = 0, NA lambda = 0.01, NA lambda = 0.1, STA lambda = 0, STA lambda = 0.01, STA lambda = 0.1, QL lambda = 0, QL lambda = 0.1 }.</p><p dir="ltr">The 3 NA files share the same structure, dimensions {800,11}.</p><p dir="ltr">The first dimension (800) contains performance information from 800 sample points of total cycle durations.</p><p dir="ltr">The second dimension (11) has elements: {total cycle time, power from expectation values, power from 4PMS, power variance, efficiency from 4PMS, efficiency from expectation values, variance bound = (2 * power^2)/(tau * entropy flux from 4PMS), relative entropy of coherence from expectation values (not used in any figures), relative entropy of coherence from 4PMS, power fluctuations = (power variance * tau * entropy flux from 4PMS) / (power^2), heat fluctuations = heat variance / (heat from 4PMS ^2)}</p><p dir="ltr">The distinction between "from 4PMS" and "from expectations values" should be clear from context within the manuscript.</p><p dir="ltr">The 3 STA files exactly matches the NA files, except with dimensions {798,11}, whereby results for the 2 shortest cycles times are not calculated due to divergent behaviour and the limitations of numerically solving dynamics.</p><p dir="ltr">The structure of the 2 QL files are similar again to NA, with dimensions {6, 800, 11}. The first dimension {6} refers to different strengths of lubricating noise, as given in figure 3. The second and third dimensions are identical to the NA data above.</p>

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DTP 2224 University of Manchester

Engineering and Physical Sciences Research Council

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