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...
This could be achieved by statically altering devices or dynamically reconfiguring devices with considerably different geometric parameters, even though it inhibits switching speed. Recently, optical nonlinearity has emerged as a tool for tailoring topological and non-Hermitian (NH) properties, promising ...
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 phase for non-Hermitian Hamiltonians and its holonomy interpretation For an arbitrary possibly non-Hermitian matrix Hamiltonian H that might involve exceptional points, we construct an appropriate parameter space such that ... Hossein,Mehri-Dehnavi,Ali,... - 《Journal of Mathematical Physics...
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...
I will finally show the phase diagram of our model and demonstrate that such novel phases can exist extensively in non-Hermitian systems. Bio: Yuchen Guo is an undergraduate student in the Department of Physics, Tsinghua University, under the supervision of Prof. Shuo Yang. His major research ...
Geometric phase in PT-symmetric quantum mechanics Unitary evolution in PT-symmetric quantum mechanics (QM) with a time-dependent metric is found to yield an interesting class of adiabatic processes. As an ... J Gong,Qing-hai Wang - 《Physical Review A》 被引量: 24发表: 2010年 Non-Hermitia...
Invariants and geometric phase for systems with non-Hermitian time-dependent Hamiltonians In this paper, the Lewis-Riesenfeld invariant theory is generalized for the study of systems with non-Hermitian time-dependent Hamiltonians. It is then use... XC Gao,JB Xu,TZ Qian - 《Physical Review A》...
As mentioned above, when a non-Hermitian system is PT invariant, the eigenvalues can also be nonreal if the non-Hermitian part exceeds a threshold, causing a phase transition. The phase transition point, where the degeneracy happens, is known as the exceptional point (EP) [3, 66]. This ...
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.,...