A Case Study with an Attractive BEC: Comparison of Lattice Model, Gross–Pitaevskii, and MCTDHB Predictions on a Tunneling Process

Part of the Springer Theses book series (Springer Theses)


This chapter compares the exact MCTDHB predictions to solutions of the Schrödinger equation with the Bose–Hubbard Hamiltonian computed with the time-evolved block decimation and the mean-field discrete non-linear Schrödinger equation for a tunneling setup. It is found that the discrete model Hamiltonians either make qualitatively unreliable predictions for the many-body physics when mapped to the continuous space setup or that there is no continuous space equivalent of the lattice predictions. In conclusion, exact and self-consistent continuous space many-body methods such as MCTDHB are crucial for the proper description of tunneling to open space problems.


Continuous Space Lattice Potential Tunneling Process Escape Time Wannier 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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