测量驱动量子引擎在双参数$(p,q)$-形变谐振子下的热力学性能
Thermodynamic Performance of a Measurement-Driven Quantum Engine with a Two-Parameter $(p,q)$-Deformed Harmonic Oscillator
- Khalifa University of Science and Technology（哈利法科学技术大学）
- KU Research Center for Advanced Intelligent Systems (AIS), Khalifa University of Science and Technology（哈利法科学技术大学 KU 先进智能系统研究中心）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
本文研究测量驱动的单热库量子引擎，采用双参数$(p,q)$-形变谐振子作为工作介质，通过推导热力学量并数值扫描，发现形变可增强测量诱导功提取，物理引擎区域由特定条件界定。
AI中文摘要：
我们研究了一种测量驱动的单热库量子引擎，该引擎利用量子测量反作用产生可用功。工作介质是一个双参数$(p,q)$-形变谐振子，其非线性能谱改变了非选择性高斯测量所采样的能隙以及准静态绝热冲程期间交换的功。循环从吉布斯态开始，包括$(\omega,p,q)$的绝热变化、对最终有效位置正交量的测量、反向绝热冲程以及与原始热库的热化。使用一致的第一定律约定，我们推导了测量热、绝热功贡献、热化热和约化工作介质效率。我们还通过转移矩阵表示测量冲程，并确定了确保测量热非负的无源性/幺正性条件。数值扫描表明，在本工作中使用的有限基组、谱序和引擎运行检查范围内，形变可以增强相对于未形变谐振子的测量诱导能量输入和提取功。物理引擎区域由$\QM>0$、$\Wcyc<0$、$\QT<0$和$0<\eta<1$选择。报告的效率是约化的，不包括测量设备成本。
英文摘要：
We address a measurement-driven, single-bath quantum engine that generates usable work using quantum measurement backaction. The working medium is a two-parameter $(p,q)$-deformed harmonic oscillator, whose nonlinear spectrum modifies the energy gaps sampled by a nonselective Gaussian measurement and the work exchanged during quasistatic adiabatic strokes. The cycle starts from a Gibbs state and consists of an adiabatic change of $(ω,p,q)$, measurement of the final effective position quadrature, a reverse adiabatic stroke, and thermalization with the original bath. Using a consistent first-law convention, we derive the measurement heat, adiabatic work contributions, thermalization heat, and reduced working-medium efficiency. We also express the measurement stroke via a transition matrix and identify passivity/unitality conditions that ensure nonnegative measurement heat. Numerical scans show that, within the finite-basis, spectral-ordering, and engine-operation checks used in this work, deformation can enhance measurement-induced energy input and extracted work relative to the undeformed oscillator. The physical engine regime is selected by $\QM>0$, $\Wcyc<0$, $\QT<0$, and $0<η<1$. The reported efficiency is reduced and excludes measurement-apparatus costs.
