论文标题
玻色粒绿色功能的边界依赖性动力学不稳定性：耗散bogoliubov-de Gennes Hamiltonian及其在非铁皮皮肤效应中的应用
Boundary-dependent dynamical instability of bosonic Green's function: Dissipative Bogoliubov-de Gennes Hamiltonian and its application to non-Hermitian skin effect
论文作者
论文摘要
来自冷凝水的剂量激发的能量光谱是由由玻色子bogoliubov-de Gennes（BDG）汉密尔顿型汉密尔顿型构建的非富米顿汉密尔顿的光谱给出的，即使该系统本质上是Hermitian。换句话说，两种类型的非热性可以共存：一种来自骨气的BDG性质，另一种来自开放的量子性质。在本文中，我们提出了与边界有关的动力不稳定性。我们首先根据Green在Nambu空间中的功能来定义玻色子耗散性BDG哈密顿量，并讨论相应的非荷里式哈密顿量的正确粒子孔对称性。然后，我们构建了一个与边界有关的动力不稳定性的模型，以便满足正确的粒子孔对称性。在此模型中，打破粒子数量保护的一个异常术语代表BDG性质的非热性，而正常术语则由耗散的Hatano-Nelson模型给出。得益于两种类型的非热性之间的竞争，光谱的假想部分无需放大正常部分的放大和导致Landau不稳定性的粒子孔带接触的粒子孔带。这导致了在非铁皮皮肤效应下的边界依赖性动力不稳定性，光谱对Bogoliubov Spectrum spectrum spectrum spectrum spectragian spectra的边界条件对边界条件的依赖。
The energy spectrum of bosonic excitations from a condensate is given by the spectrum of a non-Hermitian Hamiltonian constructed from a bosonic Bogoliubov-de Gennes (BdG) Hamiltonian in general even though the system is essentially Hermitian. In other words, two types of non-Hermiticity can coexist: one from the bosonic BdG nature and the other from the open quantum nature. In this paper, we propose boundary-dependent dynamical instability. We first define the bosonic dissipative BdG Hamiltonian in terms of Green's function in Nambu space and discuss the correct particle-hole symmetry of the corresponding non-Hermitian Hamiltonian. We then construct a model of the boundary-dependent dynamical instability so that it satisfies the correct particle-hole symmetry. In this model, an anomalous term that breaks the particle number conservation represents the non-Hermiticity of the BdG nature, while a normal term is given by a dissipative Hatano-Nelson model. Thanks to the competition between the two types of non-Hermiticity, the imaginary part of the spectrum can be positive without the help of the amplification of the normal part and the particle-hole band touching that causes the Landau instability. This leads to the boundary-dependent dynamical instability under the non-Hermitian skin effect, -strong dependence of spectra on boundary conditions for non-Hermitian Hamiltonians-, of the Bogoliubov spectrum.
