论文标题
最佳非平衡过渡的地球途径：非动量的方案
Geodesic path for the optimal nonequilibrium transition: Momentum-independent protocol
论文作者
论文摘要
加速受控的热力学过程需要辅助哈密顿量将系统引导到瞬时平衡状态。在这种有限的时间操作中，不可避免地需要额外的能源成本。我们最近开发了一种测量方法，以最大程度地减少等温过程的快捷方式的能源成本。辅助控制通常包含动量依赖性术语，由于需要不断监视速度，因此很难实现这些术语。在这项工作中，我们采用了无动量依赖力的差异辅助控制来近似确切的控制。遵循几何方法，我们获得了具有各种最低能量成本的最佳控制协议。我们通过具有可控谐波电位的布朗运动的示例来证明这种协议的构建。
Accelerating controlled thermodynamic processes requires an auxiliary Hamiltonian to steer the system into instantaneous equilibrium states. An extra energy cost is inevitably needed in such finite-time operation. We recently develop a geodesic approach to minimize such energy cost for the shortcut to isothermal process. The auxiliary control typically contains momentum-dependent terms, which are hard to be experimentally implemented due to the requirement of constantly monitoring the speed. In this work, we employ a variational auxiliary control without the momentum-dependent force to approximate the exact control. Following the geometric approach, we obtain the optimal control protocol with variational minimum energy cost. We demonstrate the construction of such protocol via an example of Brownian motion with a controllable harmonic potential.
