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Non-Hermitian description ​of the quasi-Zeno dynamics of a quantum particle by Abhishek Dhar

164 views · Published 31 October 2018 · 40:01 · Indexed 5 October 2026

Channel: International Centre for Theoretical Sciences · 2018 · Science & Technology

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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)

[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 Non-Hermitian description of the quasi-Zeno dynamics of a quantum particle
0:01:29 Outline
0:02:22 Related work
0:03:09 Introduction - The time of arrival of a quantum particle
0:04:33 Recall: First passage problem for a Brownian particle
0:06:25 Computing first passage in quantum system
0:07:54 First detection under repeated measurements
0:09:47 Schematic of unitary evolution and projective measurements
0:13:31 Model and method
0:15:48 Repeated measurements
0:18:50 Perturbation theory
0:21:56 Effective non-Hermitian Hamiltonian for system
0:22:33 Connection to another non-Hermitian Hamiltonian
0:24:48 Lattice model for free Particle in a box
0:26:24 Free particle in a box
0:28:11 Particle in a box: Survival probability of initially localized state
0:29:29 Comparison between analytic and exact numerical results
0:29:46 Detector at origin of an infinite lattice
0:31:33 Detector at centre of a finite lattice - the corresponding Non-Hermitian Hamiltonian models
0:32:43 Accuracy of the non-Hermitian Hamiltonian descriptions.
0:33:40 First passage on infinite lattice
0:34:33 Other results
0:36:01 Summary
0:37:10 Q&A

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