从张量网络表示导出局部序参量
Deriving local order parameters from tensor network representations
摘要：
量子晶格系统中的一大类量子相变都是用局域序参量来表征的。通过研究无限大晶格上局部区域的约化密度矩阵，可以从量子多体基态波函数的张量网络表示系统地构造出局部序参量.取决于系统对称性是否自发破缺，以及每个晶格位置的基态保真度是否连续，对于具有局部序参量的系统，存在四类量子相变。讨论了由非定域序参量表征的量子相变，旨在更好地理解具有拓扑序的量子系统。
英文摘要：
A large class of quantum phase transitions for quantum lattice systems are characterized by local order parameters. It is shown that local order parameters may be systematically constructed from tensor network representations of quantum many-body ground state wave functions by investigating the reduced density matrices for local areas on an infinite-size lattice. Depending on whether or not the system symmetries are spontaneously broken, and whether or not the ground state fidelity per lattice site is continuous, there are four categories of quantum phase transitions for systems with local order parameters. Quantum phase transitions characterized by nonlocal order parameters are discussed, aiming at better understanding quantum systems with topological order.
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