发表机构
School of Science, Xihua University; Key Laboratory of High Performance Scientific Computation, Xihua University; Chengdu Academy of Educational Sciences(西华大学理学院; 西华大学高性能科学计算重点实验室; 成都市教育科学研究院)
机构由 AI 辅助整理,请以论文原文为准。AI 中文总结
本研究证明,在量子信息引擎中,仅测量最左侧粒子位置的粗略测量可提供与粒子数无关的能量界限,使集体引擎每记录nat的功比独立引擎多44%,直至泡利阻塞终止该优势。
AI 中文摘要
对于单个粒子,量子信息引擎可以通过每次测量粒子位置时在其后方升起势垒,将测量涨落转化为输运。当存在多个粒子时,势垒仍然仅依赖于一个数,即最左侧粒子的位置,因此我们让恶魔只测量该顺序统计量而不测量其他任何量。一个能分辨每个位置的恶魔反而需要付出随粒子数增长的记录熵,尽管这些额外的区分从不改变势垒的放置位置。我们证明,这种更粗略的测量所提供的能量具有与粒子数无关的界限,并且该界限给出了记录熵的上限,该上限随填充率的增加而下降。在相同的倾斜度下,集体引擎每个记录的自然对数(nat)比独立单粒子引擎多输出44%的功,每个独立引擎都有其优化的循环时间,并且每个引擎每粒子的功率相等或更高。一旦势垒上方可接近区域被填满,泡利阻塞便终结了这一优势。我们还评估了粗略测量留下的相干性,以及势垒放置不精确的代价。
英文摘要
For a single particle, a quantum information engine can turn measurement fluctuations into transport by raising a barrier behind the particle each time its position is measured. When many particles are present, the barrier still depends on just one number, the position of the leftmost particle, so we let the demon measure that order statistic and nothing else. A demon that resolves every position instead pays a record entropy that grows with particle number, even though the extra distinctions never change where the barrier is placed. We show that the coarser measurement supplies an energy that is bounded independently of particle number, and that this bound yields a ceiling on the record entropy that falls as the filling increases. At the same tilt, the collective engine then delivers $44\%$ more work per recorded nat than independent single-particle engines, each with its own optimized cycle time and each running at equal or greater power per particle. Pauli blocking ends this advantage once the accessible region just above the wall fills. We also evaluate the coherence that the coarse measurement leaves behind, and the cost of placing the barrier imprecisely.
Comments20 pages, 5 figures