论文标题
热力学极限中的绝热定理：散装间隙的系统
Adiabatic theorem in the thermodynamic limit: Systems with a gap in the bulk
论文作者
论文摘要
我们证明了仅在散装中存在光谱差距的扩展费米斯系统的广义超绝热定理。更确切地说，我们假设无限系统具有独特的基态，并且相应的GNS-Hamiltonian具有频谱间隙以上的特征值零。此外，我们表明，类似的绝热定理也存在于大部分有限系统中，其错误比系统大小的任何逆强力更快，尽管相应的有限体积汉密尔顿人不需要光谱差距。
We prove a generalised super-adiabatic theorem for extended fermionic systems assuming a spectral gap only in the bulk. More precisely, we assume that the infinite system has a unique ground state and that the corresponding GNS-Hamiltonian has a spectral gap above its eigenvalue zero. Moreover, we show that a similar adiabatic theorem also holds in the bulk of finite systems up to errors that vanish faster than any inverse power of the system size, although the corresponding finite volume Hamiltonians need not have a spectral gap.
