Through implication of different symmetry reductions on the generalized semi-discrete short pulse equation, new integrable equations are assembled such as complex and the PT-symmetric nonlocal semi-discrete short pulse equation. Darboux transformation is applied to construct multi-soliton solutions and we...
这篇文章将Kane-Mele model进行相应的修改,往在位能里加入了gain and loss,从而将厄米系统变成了相应的非厄米系统,以得到复本征值,并就非厄米系统进行相应的一些研究,The resulting complex-eigenvalued edge state is robust against defects due to the topological protection.此外,In photonics, such an effect ...
PT-symmetric nonlinear metamaterials and zero-dimensional systemsfree boundary problemtumour modeltwo phaseslinearized stabilityA one dimensional, parity-time (PT)-symmetric magnetic metamaterial comprising split-ring resonators having both gain and loss is investigated. In the linear regime, the transition ...
A Hamiltonian H is said to be PT-symmetric if it commutes with the operator PT. The key point of PT-symmetric quantum theory is to build a new positive definite inner product on the given Hilbert space so that the given Hamiltonian is Hermitian with respect to the new inner product. The...
K. A. Milton: PT -Symmetric Quantum Field Theory 4 Discussion It is not yet clear if there exists a consistent treatment of fermions in the PT - symmetric framework. The exploration of the Dirac equation, both at the classical and second-quantized level, promises to shed light on the conne...
In the present work, we explore the case of a general PT-symmetric dimer in the context of two both linearly and nonlinearly coupled cubic oscillators. To obtain an analytical handle on the system, we first explore the rotating wave approximation converting it into a discrete nonlinear Schr"...
In this paper, a novel PT-symmetric lattice with an elliptical ring structure is proposed in self-focusing Kerr nonlinear media. The existence and transmission properties of solitons in this potential are numerically studied under longitudinal modulation. Unlike non-PT-symmetric cases, the shapes of ...
基金 supported by the National Key Research and Development Program of China(Grant No.2022YFA1404400) the National Natural Science Foundation of China(Grant Nos.11834008,11904035,12074183,12225408,and 12227809) the Qing Lan Project of Jiangsu Province the Natural Science Foundation of the Jiangsu High...
Having an exact theory, and due to its relative experimental simplicity, PT-symmetric electronics offers new insights into the properties of PT-symmetric systems which are at the forefront of the research in mathematical physics and related fields. 展开 ...
We investigate a non- Hermitian finite-size Kitaev chain with PT-symmetric chemical potentials. Exact solution at the symmetric point shows that Majorana edge modes can emerge as the coalescing states at exceptional points and PT symmetry breaking states. The coalescing zero mode is the finite-size...