只能相似对角化H=U^-1 \Gamma U，并且在exceptional point附近，没法对角化只能求jordan 标准型 ...
首先,一个non-Hermitian的Hamiltonian的eigenvalue spectrum不一定是real的,甚至是incomplete的。这种情况的计算我不懂,希望有人能指点一下。 但是non-Hermitian Hamiltonian有一些特殊的情况下会有real spectrum,这种Hamiltonian被称作是Quasi-Hermitian Hamiltonian。Quasi-Hermitian Hamiltonian的定义如下: ΘH=H†Θ, 此...
Hamiltonians having this property need not be Hermitian, but, except when PCT is spontaneously broken, the energy levels of such Hamiltonians are all real and positive! In this talk I examine quantum mechanical and quantum field theoretic systems whose Hamiltonians are non-Hermitian but obey PCT...
Non-Hermitian Photonics 基于对称性和拓扑原理调控的人工光子系统在控制光的激发、传播、耦合和接收方面具有极大的灵活性,使其成为实现光子器件新潜力的主要物理平台。 最值得注意的是,通过光学增益和损耗操纵光子本征态的能力为定制非厄米哈密顿量(non-Hermitian ...
As a consequence, its generator ( = the ";physical" Hamiltonian H p = H p (t)) cannot be, apparently, non-Hermitian. Still, the concept of the anomalous, non-Hermitian Hamiltonians H a plays an extremely useful role in the theoretical thinking (see e.g. [ 1 ]). An easy ...
We investigate the validity of the non-Hermitian Hamiltonian approach in describing quantum transport in disordered tight-binding networks connected to external environments, acting as sinks. Usually, non-Hermitian terms are added, on a phenomenological basis, to such networks to summarize the effects ...
Non-Hermitian Hamiltonians 来自 Springer 喜欢 0 阅读量: 32 作者: Hideaki Aoyama,Anatoli Konechny,V. Lemes,N. Maggiore,M. Sarandy,S. Sorella,Steven Duplij,R. Ibáez,J. C. Marrero,E. Padrón 展开 摘要: The consistent probabilistic interpretation of the ";physical" wave functions |ψ (...
Skin effect, experimentally discovered in one dimension, describes the physical phenomenon that on an open chain, an extensive number of eigenstates of a non-Hermitian Hamiltonian are localized at the end(s) of the chain. Here in two and higher dimensions, we establish a theorem that the skin...
Nearly one century after the birth of quantum mechanics, parity–time symmetry is revolutionizing and extending quantum theories to include a unique family of non-Hermitian Hamiltonians. While conceptually striking, experimental demonstration of parity–time symmetry remains unexplored in quantum electronic ...
We will see that, unlike electrons, photons cannot bind many particles because the laser power is limited, and more importantly, the electronic Hamiltonian is Hermitian, but its counterpart in OB, \(\mathop{{{\bf{K}}}\limits^{\leftrightarrow}\), is manifestly non-Hermitian. As shown in...