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We have investigated the exceptional points (EPs) which are degeneracies of a non-Hermitian Hamiltonian, in the case that three modes are interacting with each other. Even though the parametric evolution of the modes cannot be uniquely…

量子物理 · 物理学 2015-05-30 Jung-Wan Ryu , Soo-Young Lee , Sang Wook Kim

Exceptional points (EPs) are degeneracies of non-Hermitian operators where, in addition to the eigenvalues, corresponding eigenmodes become degenerate. Classical and quantum photonic systems with EPs have attracted tremendous attention due…

The existence and degeneracies of quantum exceptional, diabolical, and hybrid (i.e., diabolically degenerated exceptional) singularities of simple bosonic systems composed of up to five modes with damping and/or amplification are analyzed.…

High control in the preparation and manipulation of states is an experimental and theoretical important task in many quantum protocols. Shortcuts to adiabaticity methods allow to obtain desirable states of a adiabatic dynamics but in short…

量子物理 · 物理学 2024-10-28 Jonas F. G. Santos

We investigate the properties of multidimensional parity-time symmetric periodic systems whose non-Hermitian periodicity is an integer multiple of the underlying Hermitian system's periodicity. This creates a natural set of degeneracies…

光学 · 物理学 2016-05-25 Alexander Cerjan , Aaswath Raman , Shanhui Fan

We study state conversion in parity-time (PT) symmetry broken non-Hermitian two level system. We construct a theory and explain underlying mechanism for state conversion and define adiabatic evolutions in non-Hermitian systems. The…

光学 · 物理学 2020-01-08 C. Yuce

In a non-Hermitian optical system with loss and gain, an exceptional point (EP) will arise under specific parameters where the eigenvalues and eigenstates exhibit simultaneous coalescence. Here we report a dynamical switching of lasing…

光学 · 物理学 2019-12-30 Yicong Zhang , Weiwei Liu , Qingjie Liu , Bing Wang , Peixiang Lu

Recently, synthetic spin-orbit coupling has been introduced into cold-atom systems for more flexible control of the Hamiltonian, which was further made time-varying through two-photon detuning to achieve dynamic control of the cold-atom…

量子物理 · 物理学 2024-03-05 Dong Liu , Zejian Ren , Wai Chun Wong , Entong Zhao , Chengdong He , Ka Kwan Pak , Gyu-Boong Jo , Jensen Li

Exceptional points are degeneracies in non-Hermitian systems. A two-state system with parity-time (PT) symmetry usually has only one exceptional point beyond which the eigenmodes are PT-symmetry broken. The so-called symmetry recovery,…

经典物理 · 物理学 2018-09-26 Xu-Lin Zhang , Shubo Wang , Wen-Jie Chen , Bo Hou , C. T. Chan

Non-Hermitian systems have attracted significant interest because of their intriguing and useful properties, including exceptional points (EPs), where eigenvalues and the corresponding eigenstates of non-Hermitian operators become…

We report a 1D planar optical waveguide with transverse distribution of inhomogeneous loss profile, which exhibits an exceptional point (EP). The waveguide hosts two leaky resonant modes; where the interaction between them in the vicinity…

光学 · 物理学 2018-11-14 Arnab Laha , Abhijit Biswas , Somnath Ghosh

Owing to the presence of exceptional points (EPs), non-Hermitian (NH) systems can display intriguing topological phenomena without Hermitian analogs. However, experimental characterizations of exceptional topological invariants have been…

Exceptional point (EP) is exclusive for non-Hermitian system and distinct from that at a degeneracy point (DP), supporting intriguing dynamics, which can be utilized to probe quantum phase transition and prepare eigenstates in a Hermitian…

量子物理 · 物理学 2021-12-10 P. Wang , K. L. Zhang , Z. Song

Parity-time (PT) symmetric systems have two distinguished phases, e.g., one with real energy eigenvalues and the other with complex conjugate eigenvalues. To enter one phase from the other, it is believed that the system must pass through…

光学 · 物理学 2016-07-27 Li Ge

Realizing efficient and controlled state transfer is necessary for implementing a wide range of classical and quantum information protocols. Recent studies have demonstrated that both asymmetric and symmetric state transfer can be achieved…

量子物理 · 物理学 2025-10-13 Qi-Cheng Wu , Yu-Liang Fang , Yan-Hui Zhou , Jun-Long Zhao , Yi-Hao Kang , Qi-Ping Su , Chui-Ping Yang

The existence of singularities in the spectrum of non-Hermitian Hamiltonians leads to a non-trivial spectral topology which can be exploited to generate topological operations. However, their implementation has remained elusive due to the…

量子物理 · 物理学 2025-09-24 Vishnu Chavva , Hugo Ribeiro

Band degeneracies, ranging from Hermitian Dirac points to non-Hermitian exceptional points (EPs), play a central role in topological phase transitions. Beyond the topology of individual degeneracies, their mutual interactions yield richer…

介观与纳米尺度物理 · 物理学 2026-01-07 Weijia Wang , Qicheng Zhang , Kun Zhang , Shuaishuai Tong , Chunyin Qiu

Non-Hermitian (NH) photonics has attracted considerable attention from researchers owing to exotic properties that originate from the parity-time ($\mathcal{PT}$) phase transition and exceptional points (EPs). To date, the $\mathcal{PT}$…

光学 · 物理学 2021-10-06 Yuto Moritake , Masaya Notomi

An imaginary gauge transformation is at the core of the non-Hermitian skin effect. Here we show that such a transformation can be performed in momentum space as well, which reveals that certain gain and loss modulated systems in their…

量子物理 · 物理学 2022-12-21 Jose H. D. Rivero , Liang Feng , Li Ge

Driven-dissipative systems provide a natural setting for the emergence of exceptional points -- i.e. non-Hermitian degeneracies where eigenmodes coalesce. These points are important for applications such as sensing, where enhanced…

材料科学 · 物理学 2025-10-21 Mawgan A. Smith , Ryan D. McKenzie , Alban Joseph , Robert L. Stamps , Rair Macêdo