Sacchi Massimiliano F
CNR-Istituto di Fotonica e Nanotecnologie, Piazza Leonardo da Vinci 32, I-20133 Milano, Italy and QUIT Group, Dipartimento di Fisica, Università di Pavia, via A. Bassi 6, I-27100 Pavia, Italy.
Phys Rev E. 2021 Jan;103(1-1):012111. doi: 10.1103/PhysRevE.103.012111.
We study two-mode bosonic engines undergoing an Otto cycle. The energy exchange between the two bosonic systems is provided by a tunable unitary bilinear interaction in the mode operators modeling frequency conversion, whereas the cyclic operation is guaranteed by relaxation to two baths at different temperatures after each interacting stage. By means of a two-point-measurement approach we provide the joint probability of the stochastic work and heat. We derive exact expressions for work and heat fluctuations, identities showing the interdependence among average extracted work, fluctuations, and efficiency, along with thermodynamic uncertainty relations between the signal-to-noise ratio of observed work and heat and the entropy production. We outline how the presented approach can be suitably applied to derive thermodynamic uncertainty relations for quantum Otto engines with alternative unitary strokes.
我们研究了经历奥托循环的双模玻色子引擎。两个玻色子系统之间的能量交换由模式算符中模拟频率转换的可调谐幺正双线性相互作用提供，而循环操作则通过在每个相互作用阶段后弛豫到两个不同温度的热库来保证。通过两点测量方法，我们给出了随机功和热的联合概率。我们推导出了功和热涨落的精确表达式、表明平均提取功、涨落和效率之间相互依存关系的恒等式，以及观测到的功和热的信噪比与熵产生之间的热力学不确定性关系。我们概述了所提出的方法如何能够适当地应用于推导具有替代幺正冲程的量子奥托引擎的热力学不确定性关系。
