搜索结果: 1-15 共查到“non-Hermitian”相关记录20条 . 查询时间(0.078 秒)
Jones polynomial and knot transitions in Hermitian and non-Hermitian topological semimetals
Hermitian Topological semimetal Junction Transition
2023/1/4
Topological nodal line semimetals can host stable chained, linked, or knotted line degeneracies in momentum space protected by symmetries. In this talk, I will show how to use the Jones polynomial (wh...
Random matrices: Universality of local spectral statistics of non-Hermitian matrices
Random matrices non-Hermitian matrices Probability
2012/6/30
It is a classical result of Ginibre that the normalized bulk $k$-point correlation functions of a complex $n \times n$ gaussian matrix with independent entries of mean zero and unit variance are asymp...
Resolutions of identity for some non-Hermitian Hamiltonians II: proofs
non-Hermitian quantum mechanics exceptional points resolution of identity
2011/9/23
Abstract: This part is a continuation of the Part I where we built resolutions of identity for certain non-Hermitian Hamiltonians constructed from biorthogonal sets of their eigen- and associated func...
Resolutions of identity for some non-Hermitian Hamiltonians I: exceptional point in continuous spectrum
non-Hermitian quantum mechanics exceptional points resolution of identity
2011/9/23
Abstract: Resolutions of identity for certain non-Hermitian Hamiltonians constructed from biorthogonal sets of their eigen- and associated functions are given for the spectral problem defined on entir...
Edge states and topological phases in non-Hermitian systems
Edge states topological phases non-Hermitian systems Mesoscale and Nanoscale Physics
2011/9/30
Abstract: Topological stability of the edge states is investigated for non-Hermitian systems. We examine two classes of non-Hermitian Hamiltonians supporting real bulk eigenenergies in weak non-Hermit...
Non-Hermitian oscillator Hamiltonians and multiple Charlier polynomials
multiple Charlier polynomials non-Hermitian Hamiltonians algebraic model
2011/7/26
Abstract: A set of r non-Hermitian oscillator Hamiltonians in r dimensions is shown to be simultaneously diagonalizable. Their spectra is real and the common eigenstates are expressed in terms of mult...
Time-Reversal Symmetry in Non-Hermitian Systems
Time-Reversal Symmetry Non-Hermitian Systems Statistical Mechanics
2011/7/27
Time-Reversal Symmetry in Non-Hermitian Systems.
Metric operators for non-Hermitian quadratic su(2) Hamiltonians
Metric operators non-Hermitian quadratic su(2) Hamiltonians
2011/3/1
A class of non-Hermitian quadratic su(2) Hamiltonians that ful l an anti-linear symmetry is constructed. If unbroken this anti-linear symmetry leads to a purely real spectrum and the Hamiltonian can b...
Products of Independent Non-Hermitian Random Matrices
Products Independent Non-Hermitian Random Matrices
2011/2/24
For fixed m > 1, we consider m independent n×n non-Hermitian random matrices X1, . . . ,Xm with i.i.d. centered entries with a finite (2 + )-th moment, > 0. As n tends to infinity, we show that the...
Effective Non-Hermitian Hamiltonians for Studying Resonance Statistics in Open Disordered Systems
Non-Hermitian Hamiltonians Studying Resonance Statistics
2010/12/27
We briefly discuss construction of energy-dependent effective non-hermitian hamiltonians for studying resonances in open disordered systems
Effective-mass Klein-Gordon Equation for non-PT/non-Hermitian Generalized Morse Potential
Effective-mass Klein-Gordon Equation non-PT/non-Hermitian Generalized Morse Potential
2010/11/4
The one-dimensional effective-mass Klein-Gordon equation for the real, and non-\textrm{PT}-symmetric/non-Hermitian generalized Morse potential is solved by taking a series expansion for the wave funct...
Universal routes to spontaneous PT-symmetry breaking in non-hermitian quantum systems
Universal routes spontaneous PT-symmetry non-hermitian quantum systems
2010/11/8
PT-symmetric systems can have a real spectrum even when their Hamiltonian is non-hermitian, but develop a complex spectrum when the degree of non-hermiticity increases. Here we utilize random-matrix t...
Universal routes to spontaneous PT-symmetry breaking in non-hermitian quantum systems
Universal routes PT-symmetry non-hermitian quantum systems
2010/11/17
PT-symmetric systems can have a real spectrum even when their Hamiltonian is non-hermitian, but develop a complex spectrum when the degree of non-hermiticity increases. Here we utilize random-matrix ...
Wave packet evolution in non-Hermitian quantum systems
packet evolution non-Hermitian quantum
2010/11/8
The quantum evolution of the Wigner function for Gaussian wave packets generated by a non-Hermitian Hamiltonian is investigated. In the semiclassical limit $\hbar\to 0$ this yields the non-Hermitian a...
Supersymmetric extension of non-Hermitian su(2) Hamiltonians and supercoherent states
Pseudo-Hermitian quantum mechanics supersymmetry superco-herent states
2010/10/21
A new class of non-Hermitian Hamiltonians with real spectrum, which are writ-ten as a real linear combination of su(2) generators in the form H = !J3+ J−+ J+, 6= , is analyzed. The metric whic...