论文标题
可整合量子电路的整合变形
Integrable deformations of superintegrable quantum circuits
论文作者
论文摘要
可整合的模型是非常特殊的动力系统：它们具有比完整整合性所需的保护定律更多的保护定律。这严重限制了它们的动态过程，即使在非平衡情况下，也经常导致其确切的解决性。在本文中，我们考虑了可整合量子电路的特殊汉密尔顿变形。变形破坏了可促进性，但它们保留了整合性。我们专注于混凝土模型的选择，并表明，对于每个模型，至少有一个集成变形的参数家族。我们最有趣的例子是所谓的Rule54模型。我们表明该模型与具有六个位点相互作用的Yang-baxter积分旋转链的一个参数家族兼容。因此，规则54模型没有唯一的集成性结构，而是位于量子整合模型家族的交集。
Superintegrable models are very special dynamical systems: they possess more conservation laws than what is necessary for complete integrability. This severely constrains their dynamical processes, and it often leads to their exact solvability, even in non-equilibrium situations. In this paper we consider special Hamiltonian deformations of superintegrable quantum circuits. The deformations break superintegrability, but they preserve integrability. We focus on a selection of concrete models and show that for each model there is an (at least) one parameter family of integrable deformations. Our most interesting example is the so-called Rule54 model. We show that the model is compatible with a one parameter family of Yang-Baxter integrable spin chains with six-site interaction. Therefore, the Rule54 model does not have a unique integrability structure, instead it lies at the intersection of a family of quantum integrable models.
