论文标题

研究不对称驱动量子奥托发动机的非平衡波动的界限

Study of bounds on non-equilibrium fluctuations for asymmetrically driven quantum Otto engine

论文作者

Mohanta, Sandipan, Saha, Madhumita, Venkatesh, B. Prasanna, Agarwalla, Bijay Kumar

论文摘要

对于由单个值模拟的工作培养基的四冲程不对称驱动的量子奥托发动机,我们研究了工作和热量的非平衡波动的边界。我们发现,在任意运营制度中,工作的波动与热冷藏库的个人热量之间的严格关系。在关注发动机状态下,我们表明,输出工作的非平衡波动与来自热储层的输入热的比率是上限和下限。结果,我们在冷藏和热储层的相对波动与热量的相对波动之间建立了层次关系,并进一步与热力学不确定性关系建立联系。我们在冰箱制度中也讨论了这些界限的命运。对于这种不对称驱动的发动机,报告的边界一旦在相等的基础上考虑到发动机的时间前向和相应的反向循环。我们还扩展了研究和报告参数驱动的谐波振荡器奥托引擎的界限。

For a four-stroke asymmetrically driven quantum Otto engine with working medium modeled by a single qubit, we study the bounds on non-equilibrium fluctuations of work and heat. We find strict relations between the fluctuations of work and individual heat for hot and cold reservoirs in arbitrary operational regimes. Focusing on the engine regime, we show that the ratio of non-equilibrium fluctuations of output work to input heat from the hot reservoir is both upper and lower bounded. As a consequence, we establish hierarchical relation between the relative fluctuations of work and heat for both cold and hot reservoirs and further make a connection with the thermodynamic uncertainty relations. We discuss the fate of these bounds also in the refrigerator regime. The reported bounds, for such asymmetrically driven engines, emerge once both the time-forward and the corresponding reversed cycles of the engine are considered on an equal footing. We also extend our study and report bounds for a parametrically driven harmonic oscillator Otto engine.

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