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...
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...
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 ...
We demonstrate the emergence of a topological ordered phase for non-Hermitian systems. Specifically, we elucidate that systems with non-Hermitian two-body interactions show a fractional quantum Hall (FQH) state. The non-Hermitian Hamiltonian is considered to be relevant to cold atoms with dissipation...
目录 收起 1. PT symmetry & 双正交基 2. Non-hermitian SSH model 2.1 广义BZ 2.2 零能模的不一致性 2.3 Winding number Appendix: 对'Non-Hermitian skin effect'这个词早有耳闻,Non-Hermitian physics也一直很火,遂抽空对Non-Hermitian的体系做一个简单的了解。
Einstein’s quantum elevator: Hermitization of non-Hermitian Hamiltonians via a generalized vielbein formalism. Phys. Rev. Res. 4, 023070 (2022). Article CAS Google Scholar Chenwei, L., Ren, Z., Zhengzheng, Z. & Qi, Z. Curving the space by non-Hermiticity. Nat. Commun. 13, 2184 ...
In the light of...doi:10.1007/1-4020-4522-0_350Hideaki AoyamaAnatoli KonechnyV. LemesN. MaggioreM. SarandyS. SorellaSteven DuplijR. IbáezJ. C. MarreroE. PadrónSpringer NetherlandsConcise Encyclopedia of Supersymmetry
Non-Hermitian HamiltoniansGrassmann variablesWe extend the Dodonov–Malkin–Man'ko–Trifonov (DMMT) invariant method (Malkin et al. Phys. Rev. D 2, 1371 1, J. Math. Phys. 14, 576 2; Dodonov et al. Int. J. Theor. Phys. 14, 37 3; Dodonov and Man'ko Phys. Rev. A 20, 550 4)...
A non-Hermitian Hamiltonian that describes an open system generically has complex eigenvalues, which must be studied on the complex plane, which leads to the emergence of eigenvalue topology, or spectral topology. This additional ‘layer’ of topology is a unique feature for non-Hermitian systems....
Very often, EPs are points of measure zero in the eigenspectra of non-Hermitian Hamiltonians, which makes them very difficult to access, even with careful engineering. Yet, their effect can be still felt globally. Particularly, an intriguing aspect of non-Hermitian systems is the eigenstate exch...