H-Theorem in an Isolated Quantum Harmonic Oscillator

Che Hsiu Hsueh, Chi Ho Cheng, Tzyy Leng Horng, Wen Chin Wu*

*此作品的通信作者

研究成果: 雜誌貢獻期刊論文同行評審

摘要

We consider the H-theorem in an isolated quantum harmonic oscillator through the time-dependent Schrödinger equation. The effect of potential in producing entropy is investigated in detail, and we found that including a barrier potential into a harmonic trap would lead to the thermalization of the system, while a harmonic trap alone would not thermalize the system. During thermalization, Shannon entropy increases, which shows that a microscopic quantum system still obeys the macroscopic thermodynamics law. Meanwhile, initial coherent mechanical energy transforms to incoherent thermal energy during thermalization, which exhibiting the decoherence of an oscillating wave packet featured by a large decreasing of autocorrelation length. When reaching thermal equilibrium, the wave packet comes to a halt, with the density distributions both in position and momentum spaces well-fitted by a microcanonical ensemble of statistical mechanics.

原文英語
文章編號1163
期刊Entropy
24
發行號8
DOIs
出版狀態已發佈 - 2022 8月

ASJC Scopus subject areas

  • 資訊系統
  • 數學物理學
  • 物理與天文學(雜項)
  • 電氣與電子工程

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