Exceptional points in oligomer chains
نویسندگان
چکیده
Abstract Symmetry underpins our understanding of physical law. Open systems, those in contact with their environment, can provide a platform to explore parity-time symmetry. While classical symmetric systems have received lot attention, especially because the associated advances generation and control light, there is much more be discovered about quantum counterparts. Here we theory which describes non-Hermitian physics chains coupled modes, has applications across optics photonics. We elucidate origin exceptional points govern symmetry, survey signatures transport, study influence for correlations, account long-range interactions. also find how locations evolve as function chain length parity, capturing an arbitrary oligomer transitions from its unbroken broken phase. Our general results perspectives experimental detection phases one-dimensional arrays objects, consequences light transport degree coherence.
منابع مشابه
Exceptional points in atomic spectra.
We report the existence of exceptional points for the hydrogen atom in crossed magnetic and electric fields in numerical calculations. The resonances of the system are investigated and it is shown how exceptional points can be found by exploiting characteristic properties of the degeneracies, which are branch point singularities. A possibility for the observation of exceptional points in an exp...
متن کاملFano profiles in scattering around exceptional points
In a previous paper it has been shown that the interference of the first and second order pole of the Green’s function at an exceptional point, as well as the interference of the first order poles in the vicinity of the exceptional point, gives rise to asymmetric scattering cross section profiles. In the present paper we demonstrate that these line profiles are indeed well described by the Beut...
متن کاملExceptional points in bichromatic Wannier–Stark systems
The resonance spectrum of a tilted periodic quantum system for a bichromatic periodic potential is investigated. For such a bichromatic Wannier–Stark system, exceptional points, degeneracies of the spectrum, can be localized in parameter space by means of an efficient method for computing resonances. Berry phases and Petermann factors are analysed. Finally, the influence of a nonlinearity of th...
متن کاملExceptional points in coupled dissipative dynamical systems.
We study the transient behavior in coupled dissipative dynamical systems based on the linear analysis around the steady state. We find that the transient time is minimized at a specific set of system parameters and show that at this parameter set, two eigenvalues and two eigenvectors of the Jacobian matrix coalesce at the same time; this degenerate point is called the exceptional point. For the...
متن کاملExceptional points in quantum and classical dynamics
We notice that, when a quantum system involves exceptional points, i.e. the special values of parameters where the Hamiltonian loses its self-adjointness and acquires the Jordan block structure, the corresponding classical system also exhibits a singular behaviour associated with restructuring of classical trajectories. The system with the crypto-Hermitian Hamiltonian H = (p + z)/2 − igz and hy...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Communications physics
سال: 2021
ISSN: ['2399-3650']
DOI: https://doi.org/10.1038/s42005-021-00757-3