Interplay of quantum mechanics and nonlinearity : understanding small-system dynamics of the discrete nonlinear Schrödinger equation / V.M. (Nitant) Kenkre.
Kenkre, V. M. (Vasudev M.), 1946- author.
2022
QC174.26.W28 K46 2022
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Title
Interplay of quantum mechanics and nonlinearity : understanding small-system dynamics of the discrete nonlinear Schrödinger equation / V.M. (Nitant) Kenkre.
Author
Kenkre, V. M. (Vasudev M.), 1946- author.
ISBN
9783030948115 (electronic bk.)
3030948110 (electronic bk.)
9783030948108
3030948102
DOI
https://doi.org/10.1007/978-3-030-94811-5
Published
Cham : Springer, [2022]
Copyright
©2022
Language
English
Description
1 online resource : illustrations (some color).
Item Number
10.1007/978-3-030-94811-5 doi
Call Number
QC174.26.W28 K46 2022
Dewey Decimal Classification
530.12/4
Summary
This book presents an in-depth study of the discrete nonlinear Schrödinger equation (DNLSE), with particular emphasis on spatially small systems that permit analytic solutions. In many quantum systems of contemporary interest, the DNLSE arises as a result of approximate descriptions despite the fundamental linearity of quantum mechanics. Such scenarios, exemplified by polaron physics and Bose-Einstein condensation, provide application areas for the theoretical tools developed in this text. The book begins with an introduction of the DNLSE illustrated with the dimer, development of fundamental analytic tools such as elliptic functions, and the resulting insights into experiment that they allow. Subsequently, the interplay of the initial quantum phase with nonlinearity is studied, leading to novel phenomena with observable implications in fields such as fluorescence depolarization of stick dimers, followed by analysis of more complex and/or larger systems. Specific examples analyzed in the book include the nondegenerate nonlinear dimer, nonlinear trapping, rotational polarons, and the nonadiabatic nonlinear dimer. Phenomena treated include strong carrier-phonon interactions and Bose-Einstein condensation. This book is aimed at researchers and advanced graduate students, with chapter summaries and problems to test the reader's understanding, along with an extensive bibliography. The book will be essential reading for researchers in condensed matter and low-temperature atomic physics, as well as any scientist who wants fascinating insights into the role of nonlinearity in quantum physics.
Bibliography, etc. Note
Includes bibliographical references and index.
Access Note
Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed April 5, 2022).
Series
Lecture notes in physics ; 997. 1616-6361
Available in Other Form
Print version: 9783030948108
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Chapter 1. The Discrete Nonlinear Schrödinger Equation and the Two-State System (Dimer)
Chapter 2. Dimer Solutions, Mobility Reduction, and Neutron Scattering
Chapter 3. Initial Delocalization, Phase-Nonlinearity Interplay, and Fluorescence Depolarization
Chapter 4. What Polarons Owe to their Harmonic Origins
Chapter 5. Static Energy Mismatch in the Nonlinear Dimer: Nondegeneracy
Chapter 6. Extended Systems with Global Interactions, and Nonlinear Trapping
Chapter 7. Slow Relaxation: the Nonadiabatic Nonlinear Dimer
Chapter 8. Thermal Effects: Phase-Space and Langevin Formulations
Chapter 9. Microscopic Origin Issues about the DNLSE for Polarons
Chapter 10. Bose-Einstein Condensate Tunneling: the Gross-Pitaevskii Equation
Chapter 11. Miscellaneous Topics and Summary of the Book.

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