Chiral behaviour of the wave functions for three wave guides in the vicinity of an exceptional point of third order

2017 ◽  
Vol 71 (12) ◽  
Author(s):  
Walter Dieter Heiss ◽  
Günter Wunner
Keyword(s):  
Wave Functions ◽  
Exceptional Point ◽  
Third Order ◽  
Wave Guides

scholarly journals SIMPLE MODELS OF THREE COUPLED PT -SYMMETRIC WAVE GUIDES ALLOWING FOR THIRD-ORDER EXCEPTIONAL POINTS

2017 ◽  
Vol 57 (6) ◽  
pp. 454 ◽  
Author(s):  
Jan Schnabel ◽  
Holger Cartarius ◽  
Jörg Main ◽  
Günter Wunner ◽  
Walter Dieter Heiss
Keyword(s):  
Matrix Model ◽  
Theoretical Models ◽  
Exceptional Point ◽  
Third Order ◽  
Exceptional Points ◽  
Symmetric Wave ◽  
Wave Guides ◽  
Delta Functions ◽  
Idealised Model ◽  
Parameter Ranges

We study theoretical models of three coupled wave guides with a <em>PT</em>-symmetric distribution of gain and loss. A realistic matrix model is developed in terms of a three-mode expansion. By comparing with a previously postulated matrix model it is shown how parameter ranges with good prospects of finding a third-order exceptional point (EP3) in an experimentally feasible arrangement of semiconductors can be determined. In addition it is demonstrated that continuous distributions of exceptional points, which render the discovery of the EP3 difficult, are not only a feature of extended wave guides but appear also in an idealised model of infinitely thin guides shaped by delta functions.

scholarly journals PT -symmetric waveguide system with evidence of a third-order exceptional point

2017 ◽  
Vol 95 (5) ◽  
Author(s):  
Jan Schnabel ◽  
Holger Cartarius ◽  
Jörg Main ◽  
Günter Wunner ◽  
Walter Dieter Heiss
Keyword(s):  
Exceptional Point ◽  
Third Order ◽  
Waveguide System

A perturbation calculation of properties of the 2 pπ state of HeH 2+

1957 ◽  
Vol 240 (1221) ◽  
pp. 274-283 ◽  
Keyword(s):  
Dipole Moment ◽  
Total Energy ◽  
Second Order ◽  
Wave Functions ◽  
Quadrupole Moments ◽  
Perturbation Calculation ◽  
Third Order ◽  
The Third ◽  
Fifth Order ◽  
Kinetic And Potential Energies

A perturbation calculation, valid in the limit of large separations, of various properties of the 2 pπ state of HeH 2+ is carried out. The total energy and the kinetic and potential energies are calculated to the fifth order, the dipole moment to the third order and the quadrupole moments to the second order and the results compared with those obtained using exact and variationally determined two-centre wave functions. Some results are also given for the 2 pπ u and 3 dπ g states of H + 2 and the influence of nuclear symmetry at large separations is briefly discussed.

scholarly journals Nonlinear Spatial Localized Strain Waves

2018 ◽  
Vol 183 ◽  
pp. 02030
Author(s):  
Vladimir I. Erofeev ◽  
Sergey I. Gerasimov ◽  
Alexey O. Malkhanov
Keyword(s):  
Equations Of State ◽  
Numerical Models ◽  
Hydrodynamic Instability ◽  
Light Sources ◽  
Third Order ◽  
Simultaneous Excitation ◽  
Wave Guides ◽  
Determination Of Parameters ◽  
The Waves

A possible way of study of single waves in solids is discussed. The soliton is one of these waves without shape and parameters varying. Soliton deformation parameters are connected with the elastic moduli of the third order that allows defining values of these moduli by means of the measured solitondeformation parameters in various type waveguides made of the same material. The conditions under which a soliton can exist in a rod are analytically determined. For simultaneous excitation of loading in several wave guides two new energetic photosensitive structures (the mixtures are given) initiated by means of short light impulses of noncoherent light sources are proposed. Conditions of excitation of the waves on the basis of multipoint optical initiation loading impulses are described. As a technique for registration the shadowgraph visualization is proposed. It is discussed, how the problem connected to the use of energetic initiation structures consisting in the power background illumination can be solved. The shadow scheme with the use of a tiny dot explosive light source (Tbr ~41 kK) allows to carry out modelling experiments on research of slabbing actions, jet formations, fluffings, hydrodynamic instability during shock-wave loading of investigated samples, which makes it attractive for determination of parameters in equations-of-state for investigated materials, creation of numerical models and their validation. Some examples showing basic possibility of application of the declared techniques are included.

scholarly journals Third-order exceptional point and successive switching among three states in an optical microcavity

2020 ◽  
Vol 101 (6) ◽  
Author(s):  
Arnab Laha ◽  
Dinesh Beniwal ◽  
Sibnath Dey ◽  
Abhijit Biswas ◽  
Somnath Ghosh
Keyword(s):  
Exceptional Point ◽  
Third Order ◽  
Optical Microcavity

scholarly journals Third-order non-Coulomb correction to the S-wave quarkonium wave functions at the origin

2008 ◽  
Vol 658 (5) ◽  
pp. 222-229 ◽  
Author(s):  
M. Beneke ◽  
Y. Kiyo ◽  
K. Schuller
Keyword(s):  
Wave Functions ◽  
Coulomb Correction ◽  
S Wave ◽  
Third Order

scholarly journals Many-body calculation of helium 1D–3D term intervals for 1snd (n = 12 ∼ 20) high Rydberg states

2006 ◽  
Vol 84 (12) ◽  
pp. 1097-1106
Author(s):  
Liming He ◽  
Wei Cao
Keyword(s):  
Bound States ◽  
Perturbation Expansion ◽  
Hartree Equation ◽  
Wave Functions ◽  
Many Body ◽  
Zeroth Order ◽  
Third Order ◽  
Many Body Perturbation Theory ◽  
Integral Processing ◽  
Schrödinger Perturbation

With many-body perturbation theory, 1D–3D term intervals of helium 1snd (n = 12 ∼ 20) configurations are calculated. Based on two different models, Rayleigh-Schrodinger perturbation expansion terms consisting of bound states only, and those of continua are evaluated, respectively. As for bound states, zeroth-order wave functions are strictly generated from self-iteration solutions of the Hartree equation and residues of infinite expansion series are dealt with by the integral processing method, while a simplified hydrogen potential is adopted to get the continua. Using Rayleigh–Schrodinger expansions, we evaluate exchange energy up to third-order terms. It is found that level splittings are mainly attributed to summations over bound states. The fine-structure level splittings yielded here are found to agree quite well with experimental results.PACS Nos.: 31.15.Md, 32.10Fn, 02.60Ed

scholarly journals Detecting deformed commutators with exceptional points in optomechanical sensors

2021 ◽  
Author(s):  
Dianzhen Cui ◽  
Tao Li ◽  
Jianning Li ◽  
Xuexi Yi
Keyword(s):  
Models Of Quantum Gravity ◽  
Quantum Gravity ◽  
The Other ◽  
Exceptional Point ◽  
Weak Effect ◽  
Third Order ◽  
Exceptional Points ◽  
The One ◽  
Gravity Perturbation ◽  
Canonical Position

Abstract Models of quantum gravity imply a modification of the canonical position-momentum commutation relations. In this manuscript, working with a binary mechanical system, we examine the effect of quantum gravity on the exceptional points of the system. On the one side, we find that the exceedingly weak effect of quantum gravity can be sensed via pushing the system towards a second-order exceptional point, where the spectra of the non-Hermitian system exhibits non-analytic and even discontinuous behavior. On the other side, the gravity perturbation will affect the sensitivity of the system to deposition mass. In order to further enhance the sensitivity of the system to quantum gravity, we extend the system to the other one which has a third-order exceptional point. Our work provides a feasible way to use exceptional points as a new tool to explore the effect of quantum gravity.

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