Regensburg 2019 – scientific programme
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TT: Fachverband Tiefe Temperaturen
TT 33: Frustrated Magnets - General 2 (joint session TT/MA)
TT 33.7: Talk
Tuesday, April 2, 2019, 15:30–15:45, Theater
Nonlocal probes for topological phase transitions from world-line braiding in path-integral quantum Monte Carlo — •Wei Wang1, Fabio Lingua2, Liana Shpani2, and Barbara Capogrosso-Sansone2 — 1Max Planck Institute for the Physics of Complex Systems, Dresden, Germany — 2Department of Physics, Clark University, Worcester, U.S.A.
We propose non-local probes to study quantum and topological phase transitions in bosonic lattice spin-1/2 models. These probes can be explained as certain properties of braids of bosons’ world-lines in configurations of path-integral quantum Monte Carlo (PIQMC). These new probes have been demonstrated to be good alternatives to order parameters for topologically trivial quantum phase transitions, and also have been shown to be efficient methods in studying topologically nontrivial phase transition. Furthermore, numerical results indicate that the world-line braids in configurations of PIQMC give a concrete meaning of so called “patterns” of short and long-range entanglement.