arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 1802.08428quant-phcond-mat.stat-mech
收藏

全同粒子多能级量子奥托热机

Multilevel quantum Otto heat engines with identical particles

X. L. Huang, D. Y. Guo, S. L. Wu, X. X. Yi

摘要:

研究了以囚禁在一维箱势中的多能级全同粒子为工质的量子奥托热机。考虑了玻色子的对称波函数和费米子的反对称波函数。在两粒子情况下,我们着重研究了$W^i$($i=B,F$)与$W_s$的比值,其中$W^B$和$W^F$分别是两个玻色子和费米子所做的功,而$W_s$是相同条件下单个粒子的功输出.由于波函数的对称性,比值不等于$2$。分析了低温、高温和中温三种不同状态,并计算了能级数和两种浴之间差异的影响。在多粒子情况下,我们计算了$W^i_M/M$与$W_s$的比值,其中$W^i_M/M$可以看作是多粒子热机中单个粒子所做的平均功。对于能谱具有$E_n\sim n^2$形式的其它工作物质,结果相似。对于$E_n\sim n$情形,得到了两个不同的结论。

英文摘要:

A quantum Otto heat engine is studied with multilevel identical particles trapped in one-dimensional box potential as working substance. The symmetrical wave function for Bosons and the anti-symmetrical wave function for Fermions are considered. In two-particle case, we focus on the ratios of $W^i$ ($i=B,F$) to $W_s$, where $W^B$ and $W^F$ are the work done by two Bosons and Fermions respectively, and $W_s$ is the work output of a single particle under the same conditions. Due to the symmetric of the wave functions, the ratios are not equal to $2$. Three different regimes, low temperature regime, high temperature regime, and intermediate temperature regime, are analyzed, and the effects of energy level number and the differences between the two baths are calculated. In the multiparticle case, we calculate the ratios of $W^i_M/M$ to $W_s$, where $W^i_M/M$ can be seen as the average work done by a single particle in multiparticle heat engine. For other working substances whose energy spectrum have the form of $E_n\sim n^2$, the results are similar. For the case $E_n\sim n$, two different conclusions are obtained.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑