Emergent Nonlinear Phenomena in Bose-Einstein Condensates - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Emergent Nonlinear Phenomena in Bose-Einstein Condensates write by Panayotis G. Kevrekidis. This book was released on 2007-12-29. Emergent Nonlinear Phenomena in Bose-Einstein Condensates available in PDF, EPUB and Kindle. 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 Phenomena and Stripe Phases in Bose-Einstein Condensates
Nonlinear Phenomena and Stripe Phases in Bose-Einstein Condensates - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Nonlinear Phenomena and Stripe Phases in Bose-Einstein Condensates write by Thomas Michael Bersano. This book was released on 2019. Nonlinear Phenomena and Stripe Phases in Bose-Einstein Condensates available in PDF, EPUB and Kindle. Dilute-gas Bose-Einstein condensates offer a versatile testbed for the investigation of quantum phenomena. On the mean-field level, these ultracold atomic systems are described by the Gross-Pitaevskii equation which captures the nonlinearities induced by particle interactions. The analytical simplicity of behavior in the linear regime, i.e. in the absence of interparticle interactions, allows for the study of novel particle dispersions, generation of solid-state analogues, and the construction of atom interferometers. Nonlinearities lead to the formation of additional features such as solitonic matter-waves and dispersion loops.The first two studies in this dissertation investigate strongly nonlinear phenomena in 87Rb Bose-Einstein condensates. The inherently nonlinear matter-wave structures known as solitons have been previously realized in one- and two-component systems, Here, that work is extended to three-component systems where two new species of soliton are observed. The second study considers the effects of interactions in optical lattice systems. Nonlinear behavior in an optical lattice is generally avoided, especially in atom interferometry applications. When nonlinear behavior dominates over the optical lattice potential a novel band loop appears in the lowest band of the dispersion. In this dissertation, Rabi oscillations and Bloch oscillations are observed in condensates in weak optical lattices and the resultant non-adiabatic behavior is discussed.In the final two studies, novel quantum phases are generated by combining spin-orbit (SO) coupling with a second coupling type. For instance, supplementing the SO-coupling with optical lattice assisted hopping between the minima of the SO-coupled dispersion leads to the generation of the SO-coupled stripe phase. This phase is closely related to a supersolid, an exotic state of matter which simultaneously possesses the properties of a superfluid and a crystalline solid. By instead adding a radio-frequency field that also couples two Zeeman sublevels, an emergent lattice is formed which can exhibit Galilean invariant Kapitza-Dirac scattering and Bloch oscillations. Both of these compound coupling schemes are discussed.
Non-linear Phenomena in Dipolar Bose-Einstein Condensates
Non-linear Phenomena in Dipolar Bose-Einstein Condensates - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Non-linear Phenomena in Dipolar Bose-Einstein Condensates write by Rejish Nath Gopinathan Rejani. This book was released on 2009. Non-linear Phenomena in Dipolar Bose-Einstein Condensates available in PDF, EPUB and Kindle.
Nonlinear Waves
Nonlinear Waves - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Nonlinear Waves write by Emmanuel Kengne. This book was released on 2023-02-23. Nonlinear Waves available in PDF, EPUB and Kindle. 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 - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Discrete Nonlinear Schrödinger Equation write by Panayotis G. Kevrekidis. This book was released on 2009-07-07. The Discrete Nonlinear Schrödinger Equation available in PDF, EPUB and Kindle. 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.
