Meret Preuß

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In the talk, I show how I approached the variational construction of the ground state wave function of the Bose-Hubbard trimer from a classical point of view. The key idea behind the test function construction is to leverage the similarity of basis states in terms of site occupations and interaction energy with respect to the quantum analog of the classical ground state. Within five different approaches, ground state occupations are modeled and tested against numerical diagonalization procedures. With this analysis, I give an example of how a system's classical behavior can sometimes help to better understand its quantum essence. Plus, my calculations allow for a notable reduction of computational effort, especially for large systems.

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Oldenburg
0.03
Contact: Simon Trebst