Fall to the centre and fall to infinity by Duncan O' Dell
145 views · Published 31 October 2018 · 41:32 · Indexed 2 October 2026
Channel: International Centre for Theoretical Sciences · 2018 · Science & Technology
PROGRAM NON-HERMITIAN PHYSICS - PHHQP XVIII DATE :04 June 2018 to 13 June 2018 VENUE:Ramanujan Lecture Hall, ICTS Bangalore Non-Hermitian Physics-"Pseudo-Hermitian Hamiltonians in Quantum Physics (PHHQP) XVIII" is the 18th meeting in the series that is being held over the years in Quantum Physics. The scope of the program on Non-Hermitian Physics is highly interdisciplinary, being aimed at mathematicians, theoretical physicists as well as experimental physicists who are working on different aspects of non-Hermitian physics. The purpose is to bring together experienced as well as young scientists, graduate students and postdoctoral fellows who are working actively and/or interested in working on various aspect of quantum as well as classical physics in which non-Hermitian phenomena play important roles. Broad topics that will be included (but not restricted to) under the umbrella of non-Hermitian systems in this program are: Non-Hermitian / Pseudo-Hermitian quantum theories Open quantum systems (recent theoretical developments, state-of-the-art numerical advances and experimental progress) Applications in Optics and Non-equilibrium statistical mechanics Cavity-QED and circuit-QED systems (Hybrid Quantum Systems), Quantum Gases in Cavities, Quantum Devices Recent developments in PT-symmetric systems (theory and experiment) PT-symmetric discrete systems with applications in condensed matter and photonics Non-Hermitian systems are not only of fundamental interest in physics and mathematics but have also been instrumental in technological advances. For example, the ideas of non-Hermitian physics have recently been used for the realization of novel quantum devices such as microwave amplifiers, masers (lasers in microwave regime) and quantum diodes. This program will also provide the platform to discuss the recent important role of non-Hermitian physics for future technologies. During the program, we will have the following pedagogical lectures: Aditi Mitra ( New York University, USA) - Keldysh formalism Ali Mostafazadeh (Koc University, Turkey) - Time-independent scattering theory and its dynamical formulation Michael Hatridge (University of Pittsburgh, USA) / R. Vijayaraghavan (Tata Institute of Fundamental Research, Mumbai) - Quantum measurements with superconducting devices During the program, Prof. Michael Berry (H H Wills Physics Laboratory, Bristol, UK) will be delivering the Infosys - ICTS Chandrasekhar Lectures. INTERNATIONAL ADVISORY COMMITTEE: A. Andrianov (St Petersburg, Russia) C. M. Bender (St. Louis, USA) D. Christodoulides (CREOL, USA) A. Fring (City University, London) R. Gopakumar (ICTS-TIFR, India) N. Hatano (IIS,Tokyo) S. R. Jain (BARC, Mumbai) A. Mostafazadeh (Koc University, Turkey) I. Rotter (MPI, Dresden) A. D. Stone (Yale, USA) Gunter Wunner (Stuttgart, Germany) APPLICATION DEADLINE 31 January 2018 CONTACT US: [email protected] PROGRAM LINK: https://www.icts.res.in/program/nhp2018 Table of Contents (powered by https://videoken.com) 0:00:00 Non-Hermitian Physics - PHHQP XVIII 0:00:10 Fall to the centre and fall to infinity 0:01:07 Collaborators 0:02:28 Plan 0:03:07 Point-particle effective field theory 0:05:27 Fall to the centre 0:06:38 Quantum mechanics 0:07:46 Fall to centre in QM 0:08:38 Inverse square potential 0:10:05 Experimental realization with gas of atoms 0:11:42 Scale invariance 0:12:36 Problem: continuum of bound states 0:13:17 Other examples of scale invariance 0:16:14 Quantum anomalies 0:17:47 Boundary condition ambiguity in 1/r2 problem 0:20:10 Including atom-wire physics: PPEFT 0:21:21 Non-self adjoint extension 0:22:40 Renormalization 0:24:29 RG flow of microscopic coupling 0:25:06 RG flow of microscopic coupling lambda 0:27:18 Experimental consequences 0:28:08 Exotic bound state in sub-critical regime 0:28:42 Charged wire as perfect absorber 0:29:18 Fall to infinity (poster)- Sriram Sundaram 0:30:23 Quantum catastrophes 0:31:53 The big idea 0:33:10 Ordinary ray caustics 0:35:00 The Pearcey function 0:35:30 Another example: Bose-Einstein condensate in a double well potential 0:36:04 Catastrophes in Fock space following the sudden coupling of two independent superfluids 0:36:16 Scaling exponents 0:37:16 Conclusions 0:38:10 Q&A 0:38:46 Quantum catastrophe: Hawking radiation?
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