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Instatons and Solitons in Bose-Einstein Condensation
Author: JiangBo
Tutor: ZhuHongBo
School: Northeast Normal University
Course: Theoretical Physics
Keywords: interference tunneling the method of instaton soliton Bounce S
CLC: O431.2
Type: Master's thesis
Year: 2009
Downloads: 78
Quote: 0
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Abstract
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Along with the experimental realization of Bose-Einstein condensates in which many atoms could be in one same microscopic quantum state, more attention is attracted to the dynamical properties of such a macroscopic state. Therefore, the macroscopic quantum interference had been becoming more and more attention-caught. And progresses have been made in the theoretical analysis and experimental methods. The soliton method is effective for those to solve the non-linear S chr?dinger equations that Bose-Einstein condensates fulfill. Another important one is the quantum tunneling of the condensates, where the instaton method can be used effectively. In the solving process, the real time parameter will be replaced by an imaginary one. The decay rate, or the tunneling rate can be derived from the imaginary-time G-P equation.The basic form of the decay rate-bounce S is obtained from the imaginary-time G-P equation, as same as that given in the references. The S can be regarded as some interaction, or the action of some Lagrangian. The definition is same as the classical. For the substable state, the range of integral can be extended to infinite. The following part gives the form of G-P equation as the temperature T=0 and the dynamical description of various conditions. The accurate soliton solution of some system is presented. The numerical method of the non-linear Schr?dinger is discussed, as well as the stability and the numerical result.
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CLC: > Mathematical sciences and chemical > Physics > Optics > The light nature of the theory > Quantum optics
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