论文标题
具有相关性障碍的横向场iSing链动力学临界指数的精确界限
Exact bounds for dynamical critical exponents of transverse-field Ising chains with a correlated disorder
论文作者
论文摘要
这项研究调查了横向场下无序的ISING链的动态关键指数，以检查相关障碍对量子相变的影响。相关障碍，现场横向场取决于连接该位点的最近邻邻耦合强度，从而与不相关的疾病产生了质量不同。在不相关的疾病病例中，横向场在位点上是均匀的，或独立于最近的邻居耦合强度的随机性，动力学关键指数是无限的。相反，在存在相关障碍的情况下，我们在分析上表明，动态临界指数是有限的。我们还表明，动态临界指数取决于横向场强度的调整过程。
This study investigates the dynamical critical exponent of disordered Ising chains under transverse fields to examine the effect of a correlated disorder on quantum phase transitions. The correlated disorder, where the on-site transverse field depends on the nearest-neighbor coupling strengths connecting the site, gives a qualitatively different result from the uncorrelated disorder. In the uncorrelated disorder cases where the transverse field is either homogeneous over sites or random independently of the nearest-neighbor coupling strengths, the dynamical critical exponent is infinite. In contrast, in the presence of the correlated disorder, we analytically show that the dynamical critical exponent is finite. We also show that the dynamical critical exponent depends on the tuning process of the transverse field strengths.
