分數統計下的量子西爾拉引擎

Abstract

本篇論文主要在探討,不同種類的粒子處於量子西爾拉引擎時,讓引 擎產生做功上的差異,但所謂不同種粒子不單單只是眾所皆知的古典粒子、玻色子和費米子,而是囊括另一種滿足分數統計方法的粒子。分數統計有別於我們所熟知的玻色愛因斯坦統計和費米狄拉克統計,是由西元1994年吳詠時教授所提出的統計方法。得出來的結果十分有趣——西元2011年由佐川弘幸等人所提出的量子西爾拉引擎可以得知,玻色子在引擎中所做的功不會低於費米子, 但引入分數統計後卻使得玻色子不再專美於前,可能會由費米子或滿足分數統計的粒子取代最大做功的角色,這對於量子資訊的處理可能是一種特別的發現,接下來就讓我們由熱力學和資訊理論的連結開始往下賞析。This paper mainly discusses the different types of particles in quantum Szilard engine when the engine make a difference acting on, but the so-called different kinds of particles is not just well known classical particles, bosons and fermions, but include another particle fraction statistical methods are met. Unlike fractional statistics I have known Bose-Einstein statistics and Fermi–Dirac statistics, statistical methods in 1994 by the Yong-Shi Wu when raised. The results have come out very interesting in 2011 by the Takahiro Sagawa et al proposed that quantum Szilard engine, power bosons in the engine did not fall below fermions, but after the introduction of fractional statistics but it makes no boson ahead of us, may be the fermions or meet scores of statistical particle replace biggest acting role, which for quantum information processing could be a special kind of discovery, then let us thermodynamic and information theory start Appreciation down.