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MARC 21

Interplay of Quantum Mechanics and Nonlinearity: Understanding Small-System Dynamics of the Discrete Nonlinear Schrödinger Equation
Tag	Description
020	$a9783030948115
082	$a530.124
099	$aOnline resource: Springer
100	$aKenkre, V. M.
245	$aInterplay of Quantum Mechanics and Nonlinearity$h[EBook]$bUnderstanding Small-System Dynamics of the Discrete Nonlinear Schrödinger Equation$cV. M. (Nitant) Kenkre
260	$aCham$bSpringer International Publishing$c2022
300	$bonline resource (xxvi, 310 p., ill.)
440	$aLecture notes in physics$v997
520	$aThis 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.
533	$aDigital reproduction.-$bCham :$cSpringer International Publishing,$d2022. -$nDigital book. Cham Springer Nature 2022. - Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format
538	$aOnline access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
856	$uhttps://doi.org/10.1007/978-3-030-94811-5