The accompanying geometric phase is found to be generally complex and associated with not only the phase of a wave function but also its amplitude. The condition for the real geometric phase is laid out. Our results are illustrated with two examples of non-Hermitian PT-symmetric systems, the ...
Geometric phase for non-Hermitian Hamiltonians and its holonomy interpretation. J. Math. Phys. 49, 082105 (2008). Article ADS MathSciNet Google Scholar Uzdin, R., Mailybaev, A. & Moiseyev, N. On the observability and asymmetry of adiabatic state flips generated by exceptional points. J....
Geometric phaseIn this work, we investigate the adiabatic evolution and geometric phase in non-Abelian non-Hermitian systems. By analyzing the adiabatic condition for non-Hermitian systems exhibiting energy degeneracy, we derive the non-Abelian geometric phases for such systems. By studying an example...
For a T -periodic non-Hermitian Hamiltonian H ( t ), we construct a class of adiabatic cyclic states of period T which are not eigenstates of the initial Hamiltonian H (0). We show that the corresponding adiabatic geometric phase angles are real and discuss their relationship with the ...
In Eq. (3), one can see both the intrinsic Berry phase in the Hermitian limit (i.e., \(\varphi _0/2\)) and the non-Hermitian-induced geometric phase. Consequently, instead of being quantized, the Berry phase in each band becomes continuously varying due to the non-Hermitian-induced ...
We study k-point correlators of characteristic polynomials in non-Hermitian ensembles of random matrices, focusing on the Ginibre and truncated unitary ran
Quantum phase transitionsWe study the geometric phase for the ground state of a generalized one-dimensional non-Hermitian quantum XY model, which has ... XZ Zhang,Z Song - 《Physical Review A》 被引量: 5发表: 2013年 A non-Hermitian analysis of strongly correlated quantum systems We study a...
11 Non-Hermitian perturbation of Hermitian matrices with physical applications was published in Nonconservative Stability Problems of Modern Physics on page 377.
Section 3 illustrates the advances on non-Hermitian topological phase transition in different dimensions of optics and the realizable optical systems. Section 4 encapsulates the advances on non-Hermitian topological skin effect that has been studied in one-, two-, and synthetic dimensions. Section 5 ...
PHASE spaceEIGENVALUESIn this paper, we extend the result of [A. Fring et al. J. Phys. A43 (2010) 345–401] in Noncommutative phase-space (NCPS). We compute the non-Hermitian Hamiltonian of a harmonic oscillator in NCPS. We construct a new P T -symmetry in NCPS and prove that ...