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Theoretical Considerations and Analytical Models on the Many-Body Physics of Tunneling Bosons

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Abstract

In this Chapter, an in-detail discussion of the properties of the many-boson tunneling process is given by means of analytical derivations. First, some properties of the Gross–Pitaevskii mean-field approximation, specifically the absence of correlations in the model a recapitulated. Subsequently, the physical consequences of multiple momenta occuring in the tunneling process are formulated on a many-body level with simple model considerations on the underlying single-particle basis states. Eventually, a model description, assembling the full interacting many-boson tunneling process from simultaneously happening single-boson processes is derived and explained. It is verified in the following Chapter 6 with numerically exact solutions of the time-dependent many-boson Schrödinger equation.

Keywords

Wave Function Tunneling Process Natural Orbital Exterior Part Order Correlation Function 
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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.Condensed Matter Theory and Quantum Computing GroupUniversity of BaselBaselSwitzerland

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