Physics
Document Type
Article
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.
An Author Correction is contained as a Supplementary file. The original version of this Article contained an error in Figure 3 where the dataset for the VBS case was incorrect. The original Article has been corrected.
Publication Title
Scientific Reports
Publication Date
12-2022
Volume
12
Issue
1
ISSN
2045-2322
DOI
10.1038/s41598-022-22894-7
Keywords
quantum theory, path integral, molecular dynamics
Repository Citation
Lingua, Fabio; Wang, Wei; Shpani, Liana; and Capogrosso-Sansone, Barbara, "Braiding properties of worldline configurations in hardcore lattice bosons" (2022). Physics. 68.
https://commons.clarku.edu/faculty_physics/68
Cross Post Location
Student Publications
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Copyright Conditions
Lingua, F., Wang, W., Shpani, L., & Capogrosso-Sansone, B. (2022). Braiding properties of worldline configurations in hardcore lattice bosons. Scientific reports, 12(1), 18235.
