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Titlebook: Nonlinear Adiabatic Evolution of Quantum Systems; Geometric Phase and Jie Liu,Sheng-Chang Li,Di-Fa Ye Book 2018 Springer Nature Singapore

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978-981-13-4799-3Springer Nature Singapore Pte Ltd. 2018
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Nonlinear Adiabatic Evolution of Quantum Systems,roduce the adiabatic evolution of the quantum states, including both eigenstates and noneigenstates, and we introduce the nonlinear geometric phase acquired by an eigenstate during the adiabatic evolution. A nonlinear two-mode model for Bose-Einstein condensates (BECs) is used to demonstrate the nonlinear adiabatic theory.
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,Quantum-Classical Correspondence of an Interacting Bosonic Many-Body System,nd-quantized two-mode bosonic model. We deduce the adiabatic Berry phase and the classical Hannay angle of an interacting bosonic many-body system , and we discuss the relationship between the quantum Berry phase, the classical Hannay angle, and the mean-field nonlinear geometric phase of this system.
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Book 2018 illustrates the basic points of the theory, which are further employed for the solution of complex problems of quantum theory for many-particle systems. The results obtained are supplemented by numerical calculations, presented as tables and figures..
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Gleichheit der Temperaturen aus dem zweiten Hauptsatz, in dem Sinn, daß ein zwischen je zwei Temperaturen sich abspielender, vollkommen umkehrbarer Kreisprozeß eine Arbeitsausbeute nach dem Satz von Carnot liefern muß (L. 337).
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