| 书目名称 | Nonlinear Adiabatic Evolution of Quantum Systems |
| 副标题 | Geometric Phase and |
| 编辑 | Jie Liu,Sheng-Chang Li,Di-Fa Ye |
| 视频video | |
| 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 |
| 图书封面 |  |
| 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 Schrödinger 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 |
| 关键词 | Adiabatic invariant; Interacting many-body system; Adiabatic geometric phase; Nonlinear Schrodinger equ |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-981-13-2643-1 |
| isbn_softcover | 978-981-13-4799-3 |
| isbn_ebook | 978-981-13-2643-1 |
| copyright | Springer Nature Singapore Pte Ltd. 2018 |
发表于 2025-3-21 16:57:23
