论文标题
翻译不变量子系统中的绝热时间演化和准静态过程的注释
A note on adiabatic time evolution and quasi-static processes in translation-invariant quantum systems
论文作者
论文摘要
我们研究了晶格$ \ mathbb z^d $的翻译不变旋转或费米昂系统的缓慢变化，非自治量子动力学。假定该系统最初是在热平衡中，我们考虑在绝热极限内实现准静态过程。通过将吉布斯变化原理与[jakšić，Pillet，Tauber，arxiv：2204.00440]中引入的量子弱吉布斯状态的概念相结合，我们就建立了有关此类实现的许多一般结构结果。特别是，我们表明，这种准静态过程与先前工作中研究的平衡方法的属性不相容。
We study the slowly varying, non-autonomous quantum dynamics of a translation invariant spin or fermion system on the lattice $\mathbb Z^d$. This system is assumed to be initially in thermal equilibrium, and we consider realizations of quasi-static processes in the adiabatic limit. By combining the Gibbs variational principle with the notion of quantum weak Gibbs states introduced in [Jakšić, Pillet, Tauber, arXiv:2204.00440], we establish a number of general structural results regarding such realizations. In particular, we show that such a quasi-static process is incompatible with the property of approach to equilibrium studied in this previous work.
