We study the thermodynamics of a Brownian particle under the influence of a time multiplexed harmonic potential of finite width. The memory storage mechanism and the erasure protocol realized by time multiplexed potentials are utilized to experimentally realize erasure with work close to the Landauer's bound. We quantify the work done on the system with respect to the duty-ratio of time multiplexing, which also provides a handle to approach reversible erasures. A Langevin dynamics based simulation model is developed for the proposed memory bit and the erasure protocol, which guides the experimental realization. The study also provides insights into transport at the micro scale.
Thermodynamics of memory erasure via a spin reservoir
具有多守恒量的热力学为设计新型器件提供了一个有希望的方向。例如,Vaccaro和Barnett的[J. A. Vaccaro和S. M. Barnett,Proc. R. A 467,1770(2011); S. M. Barnett和J.A. Vaccaro,Entropy 15,4956(2013)]提出了信息擦除方案,其中擦除的成本仅仅是能量以外的守恒量,允许新种类的热机。在最近的工作中,我们研究了擦除代价在自旋角动量中的离散涨落和平均界。在这里,我们用自旋等价的功(称为自旋劳动)和自旋等价的热(称为自旋热)来说明成本。我们发现,先前发现的约束上的擦除成本的$γ^{-1}\ln{2}$可以违反的spinlabor成本,并只适用于spintherm成本。我们得到三个边界为不同的擦除协议,并确定一个提供了最严格的约束。为了完整性,我们推导出一个广义Jarzynski等式和违反的概率,这表明对于特定的协议,违反的概率可以是惊人的大。我们还推导了一个积分涨落定理,并利用它来分析使用自旋库的信息擦除的成本。
Entropic Efficiency of Bayesian Inference Protocols
MajuLab, CNRS-UCA-SU-NUS-NTU International Joint Research Laboratory(MajuLab,CNRS-南加州大学-新加坡国立大学-南洋理工大学国际联合研究实验室);Centre for Quantum Technologies, National University of Singapore(新加坡国立大学量子技术中心)