integrableHamiltonianAn integrable non-Hermitian generalized Rabi model is constructed.A twist matrix is introduced to the construction of Hamiltonian and generates the non-Hermitian properties.The Yang-Baxter integrability of the system is proven.The exact energy spectrum and eigenstates are obtained ...
Here we show that the Andreev versus Majorana controversy is clarified when framed in the language of non-Hermitian topology, the natural description for quantum systems open to the environment. This change of paradigm allows one to understand topological transitions and the emergence of zero modes ...
et al. Generalized bulk–boundary correspondence in non-Hermitian topolectrical circuits. Nat. Phys. 16, 747 (2020). Article Google Scholar Wang, Y., Price, H. M., Zhang, B. & Chong, Y. D. Circuit implementation of a four-dimensional topological insulator. Nat. Commun. 11, 2356 (...
INTRODUCTIONThe simplest single-mode spin-boson model that describes the interaction between light and matter is the quantumRabi model (QRM) [1–5]. This Hamiltonian has two dynamical frames [6]; the rotating frame (RF) and the counter(anti)-rotating frame (CRF). The dynamics in the ...
The open quantum system can be described by either a Lindblad master equation or a non-Hermitian Hamiltonian(NHH).However,these two descriptions usually have different exceptional points(EPs),associated with the degeneracies in the open quantum system.Here,considering a dissipative quantum Rabi model,...
Time evolutionHigh-frequency drivingPerturbation methodWe study the time evolution of non-Hermitian systems periodically driven by a high-frequency field. The analytical time-dependent wavefunctions can be obtained with a perturbation method. Our analytical expressions for the two-state non-Hermitian ...
R. Napolitano. Non-Hermitian multichannel theory of ultracold collisions modi- fied by intense light fields tuned to the red of the trapping transition. Phys. Rev. A, 57 :1164-1175, February 1998. Available from : http://dx.doi.org/10. 1103/PhysRevA.57.1164....
We illustrate the working of this method for a simple Hermitian Rabi-type model by relating it to a non-Hermitian time-independent system corresponding to the one-site lattice Yang-Lee model.Andreas FringThomas FrithDepartment of Mathematics City University of London Northampton Square London EC1V ...
Non-Hermitian theory is a theoretical framework used to describe open systems. It offers a powerful tool in the characterization of both the intrinsic degrees of freedom of a system and the interactions with the external environment. The non-Hermitian framework consists of mathematical structures that...
In this work, we combine the fraction diffraction and non-Hermitian [Math Processing Error]PT-symmetric potential into 2D NLS equation. We first explore the SSB phenomena of solitons in the 2D FNLS equation with [Math Processing Error]PT-symmetric potential under focusing and defocusing regimes. ...