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Emergent Nonlinear Phenomena in Bose-Einstein Condensates

Emergent Nonlinear Phenomena in Bose-Einstein Condensates PDF Author: Panayotis G. Kevrekidis
Publisher: Springer Science & Business Media
ISBN: 3540735917
Category : Science
Languages : en
Pages : 398

Book Description
This book, written by experts in the fields of atomic physics and nonlinear science, covers the important developments in a special aspect of Bose-Einstein condensation, namely nonlinear phenomena in condensates. Topics covered include bright, dark, gap and multidimensional solitons; vortices; vortex lattices; optical lattices; multicomponent condensates; mathematical methods/rigorous results; and the beyond-the-mean-field approach.

Emergent Nonlinear Phenomena in Bose-Einstein Condensates

Emergent Nonlinear Phenomena in Bose-Einstein Condensates PDF Author: Panayotis G. Kevrekidis
Publisher: Springer Science & Business Media
ISBN: 3540735917
Category : Science
Languages : en
Pages : 398

Book Description
This book, written by experts in the fields of atomic physics and nonlinear science, covers the important developments in a special aspect of Bose-Einstein condensation, namely nonlinear phenomena in condensates. Topics covered include bright, dark, gap and multidimensional solitons; vortices; vortex lattices; optical lattices; multicomponent condensates; mathematical methods/rigorous results; and the beyond-the-mean-field approach.

Nonlinear Waves

Nonlinear Waves PDF Author: Emmanuel Kengne
Publisher: Springer Nature
ISBN: 981196744X
Category : Science
Languages : en
Pages : 525

Book Description
This book highlights the methods to engineer dissipative and magnetic nonlinear waves propagating in nonlinear systems. In the first part of the book, the authors present methodologically mathematical models of nonlinear waves propagating in one- and two-dimensional nonlinear transmission networks without/with dissipative elements. Based on these models, the authors investigate the generation and the transmission of nonlinear modulated waves, in general, and solitary waves, in particular, in networks under consideration. In the second part of the book, the authors develop basic theoretical results for the dynamics matter-wave and magnetic-wave solitons of nonlinear systems and of Bose–Einstein condensates trapped in external potentials, combined with the time-modulated nonlinearity. The models treated here are based on one-, two-, and three-component non-autonomous Gross–Pitaevskii equations. Based on the Heisenberg model of spin–spin interactions, the authors also investigate the dynamics of magnetization in ferromagnet with or without spin-transfer torque. This research book is suitable for physicists, mathematicians, engineers, and graduate students in physics, mathematics, and network and information engineering.

The Discrete Nonlinear Schrödinger Equation

The Discrete Nonlinear Schrödinger Equation PDF Author: Panayotis G. Kevrekidis
Publisher: Springer Science & Business Media
ISBN: 3540891994
Category : Science
Languages : en
Pages : 417

Book Description
This book constitutes the first effort to summarize a large volume of results obtained over the past 20 years in the context of the Discrete Nonlinear Schrödinger equation and the physical settings that it describes.

Advances in Precision Laser Spectroscopy

Advances in Precision Laser Spectroscopy PDF Author: Kelin Gao
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110304473
Category : Science
Languages : en
Pages : 399

Book Description
Provides extensive and thoroughly exhaustive coverage of precision laser spectroscopy Presents chapters written by recognized experts in their individual fields Topics covered include cold atoms, cold molecules, methods and techniques for production of cold molecules, optical frequency standards based on trapped single ions, etc Applicable for researchers and graduate students of optical physics and precision laser spectroscopy

Guided-Wave Optics

Guided-Wave Optics PDF Author: Boris Malomed
Publisher: MDPI
ISBN: 3038426148
Category : Science
Languages : en
Pages : 323

Book Description
This book is a printed edition of the Special Issue "Guided-Wave Optics" that was published in Applied Sciences

Universal Themes of Bose-Einstein Condensation

Universal Themes of Bose-Einstein Condensation PDF Author: Nick P. Proukakis
Publisher: Cambridge University Press
ISBN: 1108138624
Category : Science
Languages : en
Pages : 663

Book Description
Following an explosion of research on Bose–Einstein condensation (BEC) ignited by demonstration of the effect by 2001 Nobel prize winners Cornell, Wieman and Ketterle, this book surveys the field of BEC studies. Written by experts in the field, it focuses on Bose–Einstein condensation as a universal phenomenon, covering topics such as cold atoms, magnetic and optical condensates in solids, liquid helium and field theory. Summarising general theoretical concepts and the research to date - including novel experimental realisations in previously inaccessible systems and their theoretical interpretation - it is an excellent resource for researchers and students in theoretical and experimental physics who wish to learn of the general themes of BEC in different subfields.

Non-Linear Lattice

Non-Linear Lattice PDF Author: Ignazio Licata and Sauro Succi
Publisher: MDPI
ISBN: 3038423068
Category : Science
Languages : en
Pages : 291

Book Description
This book is a printed edition of the Special Issue "Non-Linear Lattice" that was published in Entropy

High Performance Computing in Science and Engineering ́16

High Performance Computing in Science and Engineering ́16 PDF Author: Wolfgang E. Nagel
Publisher: Springer
ISBN: 3319470663
Category : Computers
Languages : en
Pages : 666

Book Description
This book presents the state-of-the-art in supercomputer simulation. It includes the latest findings from leading researchers using systems from the High Performance Computing Center Stuttgart (HLRS) in 2016. The reports cover all fields of computational science and engineering ranging from CFD to computational physics and from chemistry to computer science with a special emphasis on industrially relevant applications. Presenting findings of one of Europe’s leading systems, this volume covers a wide variety of applications that deliver a high level of sustained performance. The book covers the main methods in high-performance computing. Its outstanding results in achieving the best performance for production codes are of particular interest for both scientists and engineers. The book comes with a wealth of color illustrations and tables of results.

Complexity in Biological and Physical Systems

Complexity in Biological and Physical Systems PDF Author: Ricardo Lopez-Ruiz
Publisher: BoD – Books on Demand
ISBN: 1789230500
Category : Mathematics
Languages : en
Pages : 204

Book Description
Modeling and simulating biological and physical systems are nowadays active branches of science. The diversity and complexity of behaviors and patterns present in the natural world have their reciprocity in life systems. Bifurcations, solitons and fractals are some of these ubiquitous structures that can be indistinctively identified in many models with the most diverse applications, from microtubules with an essential role in the maintenance and the shaping of cells, to the nano/microscale structure in disordered systems determined with small-angle scattering techniques. This book collects several works in this direction, giving an overview of some models and theories, which are useful for the study and analysis of complex biological and physical systems. It can provide a good guidance for physicists with interest in biology, applied research scientists and postgraduate students.

Mathematics in Industry

Mathematics in Industry PDF Author: Angela Slavova
Publisher: Cambridge Scholars Publishing
ISBN: 1443883247
Category : Science
Languages : en
Pages : 415

Book Description
In this book, a wide range of problems concerning recent achievements in the field of industrial and applied mathematics are presented. It provides new ideas and research for scientists developing and studying mathematical methods and algorithms, and researchers applying them for solving real-life problems. The importance of the computing infrastructure is unquestionable for the development of modern science. The main focus of the book is the application of mathematics to industry and science. It promotes basic research in mathematics leading to new methods and techniques useful to industry and science. The volume also considers strategy-making integration between scientists of applied mathematics and those working in applied informatics, which has potential for long-lasting integration and co-operation. The integration role is regarded here as a tool for consolidation and reinforcement of the research, education and training, and for the transfer of scientific and management knowledge. This volume operates as a medium for the exchange of information and ideas between mathematicians and other technical and scientific personnel. The book will be essential for the promotion of interdisciplinary collaboration between applied mathematics and science, engineering and technology. The main topics examined in this volume are: numerical methods and algorithms; control systems and applications; partial differential equations and real-life applications; the high performance of scientific computing; linear algebra applications; neurosciences; algorithms in industrial mathematics; equations of mathematical physics; and industrial applications of mechanics.