玻色配对哈密顿算符能带拓扑的一种简单刻画方法
A simple approach to characterizing band topology in bosonic pairing Hamiltonians
摘要：
我们重新审视的问题，在动态稳定的二次玻色子哈密顿不保存粒子数的特征带拓扑。我们表明，这个问题可以严格解决的光滑和局部绝热映射过程中的粒子数守恒的哈密顿量。与一般的费米子配对哈密顿量相反，这样的映射总是可以为玻色子构造的。我们的方法表明，粒子非守恒玻色子哈密顿可以使用已知的方法进行分类的费米子模型。它还提供了一个简单的方法来识别和计算适当的拓扑不变量。我们还明确研究动态稳定，但非正定的哈密顿（经常出现在驱动的光子系统）。我们表明，在这种情况下，每个带隙的特点是由两个不同的不变量。
英文摘要：
We revisit the problem of characterizing band topology in dynamically-stable quadratic bosonic Hamiltonians that do not conserve particle number. We show this problem can be rigorously addressed by a smooth and local adiabatic mapping procedure to a particle number conserving Hamiltonian. In contrast to a generic fermionic pairing Hamiltonian, such a mapping can always be constructed for bosons. Our approach shows that particle non-conserving bosonic Hamiltonians can be classified using known approaches for fermionic models. It also provides a simple means for identifying and calculating appropriate topological invariants. We also explicitly study dynamically stable but non-positive definite Hamiltonians (as arise frequently in driven photonic systems). We show that in this case, each band gap is characterized by two distinct invariants.
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