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Braiding properties of worldline configurations in hardcore lattice bosons
Fabio Lingua1,2, Wei Wang3, Liana Shpani4
1Department of Physics, Clark University, Worcester, Massachusetts, 01610, USA. lingua.fabio@gmail.com.
Abstract:
In this manuscript, we study braiding properties of worldline configurations for a variety of ground-states of hardcore Bose-Hubbard models in two dimensions. Configurations are collections of particle paths and result from the path-integral formulation of statistical mechanics. For hard-core bosons, configurations can be seen as geometric braids and therefore can be assigned a certain topological structure, i.e. a way to classify braiding events among worldlines. By means of Monte Carlo calculations, we study superfluid phase and a variety of insulating phases and observe that ground-states of different quantum phases correspond to different probability distributions of braiding properties.
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