论文标题
快速驱动系统的耗散和工作波动的最佳控制
Optimal control of dissipation and work fluctuations for rapidly driven systems
论文作者
论文摘要
为了实现对微观系统的有效和可靠的控制，应该寻找驱动协议，以减轻工作中平均耗散和随机波动。这在系统驱动远离平衡的快速驾驶方案中尤其重要，可能会产生大量不需要的熵生产。在这里，我们在快速驱动的经典和量子系统中表征了这些最佳协议，并证明它们由整个控制变量集中的两个不连续跳跃组成。这些跳跃可以调节以在最小耗散或最小波动之间插入过程之间，在某些情况下可以同时最小化。我们通过快速驱动的封闭量子系统，经典的位擦除和耗散的链链驱动到量子相跃迁的驱动，从而说明了我们的一般结果。
To achieve efficient and reliable control of microscopic systems one should look for driving protocols that mitigate both the average dissipation and stochastic fluctuations in work. This is especially important in fast driving regimes in which the system is driven far out of equilibrium, potentially creating large amounts of unwanted entropy production. Here we characterise these optimal protocols in rapidly driven classical and quantum systems and prove that they consist of two discontinuous jumps in the full set of control variables. These jumps can be tuned to interpolate between processes with either minimal dissipation or minimal fluctuations, and in some situations allow for simultaneous minimisation. We illustrate our general results with rapidly driven closed quantum systems, classical bit erasure and a dissipative Ising chain driven close to a quantum phase transition.
