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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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發(fā)表于 2025-3-21 16:57:23 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Nonlinear Adiabatic Evolution of Quantum Systems
副標(biāo)題Geometric Phase and
編輯Jie Liu,Sheng-Chang Li,Di-Fa Ye
視頻videohttp://file.papertrans.cn/668/667314/667314.mp4
概述Offers a detailed introduction and comprehensive description of nonlinear adiabatic evolution theory.Provides an effective method for the description of adiabatic evolution of interacting many-body sy
圖書封面Titlebook: Nonlinear Adiabatic Evolution of Quantum Systems; Geometric Phase and  Jie Liu,Sheng-Chang Li,Di-Fa Ye Book 2018 Springer Nature Singapore
描述.This book systematically introduces the nonlinear adiabatic evolution theory of quantum many-body systems. The nonlinearity stems from a mean-field treatment of the interactions between particles, and the adiabatic dynamics of the system can be accurately described by the nonlinear Schr?dinger equation. The key points in this book include the adiabatic condition and adiabatic invariant for nonlinear system; the adiabatic nonlinear Berry phase; and the exotic virtual magnetic field, which gives the geometric meaning of the nonlinear Berry phase. From the quantum-classical correspondence, the linear and nonlinear comparison, and the single particle and interacting many-body difference perspectives, it shows a distinct picture of adiabatic evolution theory. It also demonstrates the applications of the nonlinear adiabatic evolution theory for various physical systems. Using simple models it 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..
出版日期Book 2018
關(guān)鍵詞Adiabatic invariant; Interacting many-body system; Adiabatic geometric phase; Nonlinear Schrodinger equ
版次1
doihttps://doi.org/10.1007/978-981-13-2643-1
isbn_softcover978-981-13-4799-3
isbn_ebook978-981-13-2643-1
copyrightSpringer Nature Singapore Pte Ltd. 2018
The information of publication is updating

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沙發(fā)
發(fā)表于 2025-3-21 22:33:46 | 只看該作者
Jie Liu,Sheng-Chang Li,Li-Bin Fu,Di-Fa Yelerdings meistens ohne zahlenm??ige Bestimmung der . mikrogeometrischen Verh?ltnisse und der Strukturver?nderungen in der inneren Grenzschicht. Es ist lange bekannt, da? die Festigkeit der K?rper, insbesondere ihre Wechselfestigkeit, sehr erheblich von ihrem Oberfl?chenzustand beeinflu?t wird. . bei
板凳
發(fā)表于 2025-3-22 00:43:41 | 只看該作者
Jie Liu,Sheng-Chang Li,Li-Bin Fu,Di-Fa Yeden strengen geometrischen Gedankengebilden ab. Sie lassen sich nicht durch ?vernünftige“ Funktionen (F. Klein) genau darstellen. Auch unsere technischen Zeichnungen sind mit Abweichungen von der Sollform behaftet. Wir haben aber die merkwürdige F?higkeit, diese Fehler selbst innerhalb weiter, dem u
地板
發(fā)表于 2025-3-22 04:34:41 | 只看該作者
Jie Liu,Sheng-Chang Li,Li-Bin Fu,Di-Fa Yelerdings meistens ohne zahlenm??ige Bestimmung der . mikrogeometrischen Verh?ltnisse und der Strukturver?nderungen in der inneren Grenzschicht. Es ist lange bekannt, da? die Festigkeit der K?rper, insbesondere ihre Wechselfestigkeit, sehr erheblich von ihrem Oberfl?chenzustand beeinflu?t wird. . bei
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6#
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發(fā)表于 2025-3-22 19:34:13 | 只看該作者
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 non
8#
發(fā)表于 2025-3-22 23:00:09 | 只看該作者
,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 syste
9#
發(fā)表于 2025-3-23 02:12:08 | 只看該作者
,Exotic Virtual Magnetic Monopoles and?Fields, magnetic field is found in a long-range interacting spin-half system with a mean-field description. The fractional virtual magnetic monopole occurs in a mean-field ultracold atom-molecule conversion system. The virtual magnetic monopole chain is demonstrated in a quantum many-body ultracold atom-mo
10#
發(fā)表于 2025-3-23 07:49:03 | 只看該作者
Applications of Nonlinear Adiabatic Evolution,ence. We introduce the adiabatic geometric phase in a nonlinear coherent coupler and illustrate the nonlinear adiabatic tunneling with four cases, namely, Landau-Zener tunneling, Rosen-Zener tunneling, atom-molecule conversion, and composite adiabatic passage. Adiabatic nonlinear Ramsey interferomet
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