Titlebook: Interplay of Quantum Mechanics and Nonlinearity; Understanding Small- V. M. (Nitant) Kenkre Book 2022 The Editor(s) (if applicable) and The

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Initial Delocalization, Phase-Nonlinearity Interplay, and Fluorescence Depolarization,d to occur at . values of the nonlinearity relative to the localized case. As the nonlinearity increased beyond that for self-trapping, another transition occurred at which the initial placement was completely undisturbed with the passage of time. The cause was the coincidence of the initial state w

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Static Energy Mismatch in the Nonlinear Dimer: Nondegeneracy,r in which its derivative blows up. Visual displays of the period confirmed critical behavior and clarified how the self-trapping transition ceases to be for negative mismatch beyond a certain point. Stationary state considerations were presented along the lines of the development in Chap. . but enr

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Bose-Einstein Condensate Tunneling: The Gross-Pitaevskii Equation,ic energy mismatch can be manipulated to make the self-trapping and the amplitude transitions coincide with each other; and how critical points and critical lines move in parameter space as one changes the initial distribution between the traps. The validity of the Gross-Pitaevskii equation relative

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Book 2022 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