Instituto de Investigaciones en Matemáticas Aplicadas y en Sistemas, Universidad Nacional Autónoma de México, Ciudad Universitaria, Ciudad de México 04510, Mexico.
Departamento de Física, Facultad de Ciencias, Universidad Nacional Autónoma de México, Ciudad Universitaria, Ciudad de México 04510, Mexico.
Phys Rev E. 2017 Nov;96(5-1):052107. doi: 10.1103/PhysRevE.96.052107. Epub 2017 Nov 6.
Motivated by the recent growing interest about the thermodynamic cost of shortcuts to adiabaticity, we consider the cost of driving a classical system by the so-called counterdiabatic driving (CD). To do so, we proceed in three steps: first we review a general definition recently put forward in the literature for the thermodynamic cost of driving a Hamiltonian system; then we provide a new complementary definition of cost, which is of particular relevance for cases where the average excess work vanishes; finally, we apply our general framework to the case of CD. Interestingly, we find that in such a case our results are the exact classical counterparts of those reported by Funo et al. [Phys. Rev. Lett. 118, 100602 (2017)PRLTAO0031-900710.1103/PhysRevLett.118.100602]. In particular we show that a universal trade-off between speed and cost for CD also exists in the classical case. To illustrate our points we consider the example of a time-dependent harmonic oscillator subject to different strategies of adiabatic control.
受近期对绝热捷径热力学代价日益增长的兴趣的启发，我们考虑了通过所谓的反扩散驱动（CD）来驱动经典系统的代价。为此，我们分三个步骤进行：首先，我们回顾了文献中最近提出的用于驱动哈密顿系统的热力学代价的一般定义；然后，我们提供了一种新的代价定义，对于平均超额功为零的情况特别相关；最后，我们将我们的一般框架应用于 CD 的情况。有趣的是，我们发现，在这种情况下，我们的结果与 Funo 等人报道的结果完全相同。[物理评论快报 118, 100602 (2017)PRLTAO0031-900710.1103/PhysRevLett.118.100602]。特别是，我们表明，在经典情况下，CD 也存在速度和代价之间的普遍权衡。为了说明我们的观点，我们考虑了一个受不同绝热控制策略影响的时变谐振子的例子。
