geometricphasesWe discuss the basic theoretical framework for non-Hermitian quantum systems with particular emphasis on the diagonalizability of non-Hermitian Hamiltonians and their general linear GL(1,C) gauge freedom, which are relevant to the adiabatic evolution of non-Hermitian quantum systems. We...
Recently, optical nonlinearity has emerged as a tool for tailoring topological and non-Hermitian (NH) properties, promising fast manipulation of topological phases. In this work, we observe topologically protected NH phase transitions driven by optical nonlinearity in a silicon nanophotonic Floquet ...
Non-Hermitian singularities are ubiquitous in non-conservative open systems. Owing to their peculiar topology, they can remotely induce observable effects when encircled by closed trajectories in the parameter space. To date, a general formalism for describing this process beyond simple cases is still ...
(Pre-Talk) 27:44 The question of q, a look at the interplay of number theory and ergodic theory i 57:37 The value distribution of the Hurwitz zeta function with an irrational shift 51:58 Theta-finite pro-Hermitian vector bundles from loop groups elements 51:02 Torsion points and ...
We present a few results on the spectral properties of a class of physically reasonable non‐Hermitian Hamiltonians. These theorems relate the spectral pro... Wong,Jack - 《Journal of Mathematical Physics》 被引量: 74发表: 1967年 Geometric phase for non-Hermitian Hamiltonians and its holonomy ...
Geometric phase for non-Hermitian Hamiltonians and its holonomy interpretation For an arbitrary possibly non-Hermitian matrix HamiltonianHthat might involve exceptional points, we construct an appropriate parameter spaceMand line bund... H Mehri-Dehnavi,A Mostafazadeh - 《Journal of Mathematical Physics...
Non-Hermitian Parent Hamiltonian and Composite Quantum Phases | 青年科学半月谈 开始时间 2023-04-27 10:00 题目:Non-Hermitian Parent Hamiltonian and Composite Quantum Phases | 青年科学半月谈 时间:2023年4月27日(周四)10:00 报告人:Yuchen Guo Abstract: In this talk, I plan to introduce our two ...
In the general case of an exact cyclic evolution the role of the Hamiltonian in generating the approximate cyclic states as its eigenstates is played by another parameter-dependent Hermitian operator, h̃ = h̃ ( R ). In this case, the non-degeneracy requirement applies to h̃. In ...
We investigate the energy transfer of surface plasmon polaritons (SPPs) based on adiabatic passage in a non-Hermitian waveguide composed of three coupled graphene sheets. The SPPs can completely transfer between two outer waveguides via the adiabatic dark mode as the waveguides are lossless and the ...
Hence geometric phase is not a multiple of [Math Processing Error]π resulting in a non-integer value of W. In summary, we have shown that the topological phase in 1D SSQW remains invariant as long as the energy eigenvalues are real, even though the Hamiltonian is not Hermitian, i.e.,...