A Density-Matrix Renormalization Group Algorithm for Non-Hermitian Physics | 大湾区物理讲堂 开始时间 2024-03-14 10:00 题目:A Density-Matrix Renormalization Group Algorithm for Non-Hermitian Physics| 大湾区物理讲堂 报告人:Xiaoqun Wang, Professor,Zhejiang University ...
A biorthonormal-block density-matrix renormalization group algorithm is proposed to compute properties of non-Hermitian many-body systems, in which a structured low-rank approximation to a non-Hermitian reduced density matrix is implemented to fulfill the prerequisite for the biorthonormality of the ren...
spectral densityconformal mappingUsing the standard concepts of free random variables, we show that for a large class of nonhermitean random matrix models, the support of the eigenvalue distribution follows from their hermitean analogs using a conformal transformation. We also extend the concepts of...
matrix ensemble random hermitian matrices auxiliary matrix ensemble Green function eigenvalue density hermitization nonGaussian ensembles nonhermitian hamiltonians localization QCD quantum chromodynamics energy level dynamics chemical potential/ A1110C Axiomatic field theories A0210 Algebra, set theory, and ...
For adjacency and Laplacian matrices of oriented random graphs, we derive analytical expressions for the eigenvalue outliers, the first moments of the distribution of eigenvector elements associated with an outlier, the support of the spectral density, and the spectral gap. We show that these ...
All the simulations were performed with COMSOL Multiphysics, pressure acoustics module. The density and sound speed for the background medium, air, are set to be 1.21 kg/m3and 343 m/s, respectively. All the boundaries are considered as acoustically hard boundaries. When calculating the tra...
This implies an ~6.5-fold increase in the average “density of eigenvalues” within a specific spectral interval and a corresponding decrease in the gap separating adjacent eigenvalues. The decrease of the gaps between eigenvalues with increasing N is universal, independent of details. The ...
As a result, the corresponding scattering matrix and cross section are given explicitly. It is demonstrated that the possible presence of a spectral singularity in the spectrum of the non-Hermitian Hamiltonian may be detected as a resonance in the scattering cross section of its Hermitian ...
Symmetry, Integrability and Geometry: Methods and Applications PT Symmetry and QCD: Finite Temperature and Density ⋆ The relevance of PT symmetry to quantum chromodynamics (QCD), the gauge theory of the strong interactions, is explored in the context of finite temperature and density. Two signific...
including a magnification of the unit cell whose rigid cylinders are coated by a complex fluid-layer of thicknessl = 0.1Rto emulate the activated CNT film.bWith a non-Hermiticity factorβ = 0.05 of the complex mass density, the real (imaginary) dispersion bands are shown on the lef...