论文标题
玻色子bogoliubov-de Gennes Systems中的非Bloch带理论
Non-Bloch band theory in bosonic Bogoliubov-de Gennes systems
论文作者
论文摘要
在最近的研究中，已经表明，非热系统对边界表现出敏感性，这是由非铁皮皮肤效应引起的。在这项工作中，我们在骨bogoliubov--de Gennes（BDG）系统中构建了非Bloch带理论。从我们的理论中，我们可以在热力学限制下具有开放边界条件的系统中计算广义的布里鲁因区和能量谱，尽管原始的汉密尔顿人的遗传性，我们仍可以讨论其非炎者性质。实际上，我们发现玻色符基塔夫 - 马霍拉纳链表现出了非铁皮皮肤效应的丰富方面，例如在非Blloch带理论方面，反对无限扰动和重新进入行为的不稳定性。该结果表明，我们的理论是研究钾BDG系统中非炎性性质的强大工具。
In recent research, it has been shown that non-Hermitian systems exhibit sensitivity to boundaries, and it is caused by the non-Hermitian skin effect. In this work, we construct the non-Bloch band theory in bosonic Bogoliubov--de Gennes (BdG) systems. From our theory, we can calculate the generalized Brillouin zone and the energy spectrum in such systems with open boundary conditions in the thermodynamic limit, and we can thus discuss its non-Hermitian nature, despite Hermiticity of an original Hamiltonian. In fact, we find that the bosonic Kitaev-Majorana chain exhibits rich aspects of the non-Hermitian skin effect, such as instability against infinitesimal perturbations and reentrant behavior, in terms of the non-Bloch band theory. This result indicates that our theory is powerful tool for studying non-Hermitian nature in bosonic BdG systems.
