This course on Non-Hermitian Physics aims to provide an interdisciplinary approach to mathematicians, theoretical physicists, and experimental physicists interested in various aspects of non-Hermitian phenomena. The program covers topics such as Non-Hermitian quantum theories, open quantum systems, applications in optics, and recent developments in PT-symmetric systems. The teaching method includes pedagogical lectures on Keldysh formalism, scattering theory, and quantum measurements with superconducting devices. The intended audience includes experienced and young scientists, graduate students, and postdoctoral fellows actively working or interested in non-Hermitian physics and its applications in quantum and classical physics.
PT Symmetry in Optics, Exceptional Points and Bound States in the Continuum
International Centre for Theoretical Sciences via YouTube
Overview
Syllabus
INTERNATIONAL
NON-HERMITIAN PHYSICS PHHQP XVIII
PT Symmetry in Optics, Exceptional Points and Bound States in the Continuum
PT Symmetric Systems Outline of the talk
The norm has to be redefined Das et al., Bender, Mostafazadeh: olun:=only.
PT Symmetric Potential: Example
SUSY and PT symmetric Phases Potential is invariant under the transformation A + + B - S:
E? = -B- " - na2.
Phases of SUSY Broken phases of SUSY occur for different parameter domains with real eigenvalues.
Bound States in Continuum In the PT-broken phase, energy can be still real provided
Scattering by PT Symmetric Systems
sospectral Deformation and Connection with KdV The earlier mentioned two superpotentials WI and W2 Eq.
Light Stops at Exceptional Point The group velocity of light has been shown to vanish at except tonal point.
Experimental observation of PTSY-QM
Coherent Perfect Absorber CPA
PT-CPA Laser
PT Symmetric Solutions in Modified KdV Equation
Modified KdV Equations
Complex superposed solutions
Some remarks
- 602Ur + Vers = 0, there exist solutions in the form of complex superposition.
Conclusions
Thank you for your patience and attention
Taught by
International Centre for Theoretical Sciences
