无阻挫拓扑有序量子晶格系统体能隙的稳定性
Stability of the bulk gap for frustration-free topologically ordered quantum lattice systems
摘要：
我们证明了，均匀小的短程微扰不关闭体间隙以上的基态的挫折自由量子自旋系统，满足一个标准的局部拓扑量子序条件。与以前的结果相比，我们不需要一个积极的下界有限系统的哈密顿均匀的系统大小。为了得到这个结果，我们适应的Bravyi-Hastings-Michalakis策略的GNS表示的无限系统基态。
英文摘要：
We prove that uniformly small short-range perturbations do not close the bulk gap above the ground state of frustration-free quantum spin systems that satisfy a standard local topological quantum order condition. In contrast with earlier results, we do not require a positive lower bound for finite-system Hamiltonians uniform in the system size. To obtain this result, we adapt the Bravyi-Hastings-Michalakis strategy to the GNS representation of the infinite-system ground state.
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。
