Dynamic skin effects in non-Hermitian systems
نویسندگان
چکیده
We study the time evolution processes of non-Hermitian systems under open boundary condition and confirm that unconventional reflection, dubbed dynamical skin effect, exists in analytically, unveil mechanism its formation, which is caused by both effect Hermitian wave packet spreading. Furthermore, we find contrast to uniform speed motion situations, Gaussian can be accelerated amplified during systems. This additional found responsible for dynamic effect.
منابع مشابه
Dynamical Systems and Non-Hermitian Iterative Eigensolvers
Simple preconditioned iterations can provide an efficient alternative to more elaborate eigenvalue algorithms. We observe that these simple methods can be viewed as forward Euler discretizations of well-known autonomous differential equations that enjoy appealing geometric properties. This connection facilitates novel results describing convergence of a class of preconditioned eigensolvers to t...
متن کاملPreconditioners for Non-hermitian Toeplitz Systems 1
In this paper, we construct new !-circulant preconditioners for non-Hermitian Toeplitz systems, where we allow the generating function of the sequence of Toeplitz matrices to have zeros on the unit circle. We prove that the eigenvalues of the preconditioned normal equation are clustered at 1 and that for (N; N)-Toeplitz matrices with spectral condition number O(N) the corresponding PCG method r...
متن کاملTime evolution of non-Hermitian Hamiltonian systems
We provide time-evolution operators, gauge transformations and a perturbative treatment for non-Hermitian Hamiltonian systems, which are explicitly timedependent. We determine various new equivalence pairs for Hermitian and non-Hermitian Hamiltonians, which are therefore pseudo-Hermitian and in addition in some cases also invariant under PT-symmetry. In particular, for the harmonic oscillator p...
متن کاملCoherent states of non-Hermitian quantum systems
We use the Gazeau-Klauder formalsim to construct coherent states of non-Hermitian quantum systems. In particular we use this formalism to construct coherent state of a PT symmetric system. We also describe the construction of coherent states following Klauder’s minimal prescription. e-mail : [email protected] e-mail : [email protected]
متن کاملModified Hermitian and skew-Hermitian splitting methods for non-Hermitian positive-definite linear systems
Comparing the lopsided Hermitian/skew-Hermitian splitting (LHSS) method and Hermitian/skewHermitian splitting (HSS) method, a new criterion for choosing the above two methods is presented, which is better than that of Li, Huang and Liu [Modified Hermitian and skew-Hermitian splitting methods for nonHermitian positive-definite linear systems, Numer. Lin. Alg. Appl., 14 (2007): 217-235]. Key-Word...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical review
سال: 2022
ISSN: ['0556-2813', '1538-4497', '1089-490X']
DOI: https://doi.org/10.1103/physrevb.106.l241112