Tunneling of a Many-Boson System to Open Space Without a Threshold

Part of the Springer Theses book series (Springer Theses)


The scope of the present chapter is to analyze the many-body tunneling to open space process with numerically exact many-body computations done with the MCTDHB method. The tunneling process lies at the very heart of quantum mechanics and has been a matter of discussion since the advent of quantum mechanics. In contrast to the tunneling of single particles, nearly nothing is known about the many-body tunneling process. Here, the time-dependent many-boson Schrödinger equation of the process is solved for \(N=2,4,\) and \(N=101\) bosons numerically-exactly with the MCTDHB. It turns out that initially parabolically trapped and coherent samples gradually develop fragmentation in the process: the ejected particles lose their coherence both among each other and with the source. The whole process can be assembled by single particle emission processes which emerge from systems of different particle number. In each of these processes, an emitted boson converts the chemical potential of systems with decreasing particle number to a specific kinetic energy which manifests in the occurence of peaks in the momentum distributions. The prospects of the stystem for the use as a quantum simulator for ionization processes or as an atom laser are discussed.


Momentum Distribution Momentum Spectrum Tunneling Process Natural Occupation Characteristic Momentum 
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© Springer International Publishing Switzerland 2015

Authors and Affiliations

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

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