Quantum dynamics of topological strings in a frustrated Ising antiferromagnet

TL;DR

This paper explores the quantum dynamics of topological strings in a frustrated Ising antiferromagnet using advanced simulations, revealing continuum excitations and proposing methods for experimental detection of topological phenomena.

Contribution

It provides the first detailed characterization of topological string excitations in the transverse field Ising model on a triangular lattice using large-scale quantum Monte Carlo simulations.

Findings

Identification of continuum excitations related to topological strings

Description of string excitations as Luttinger string liquids

Proposal of a new method to detect topological excitations experimentally

Abstract

We investigate the quantum dynamics of the transverse field Ising model on the triangular lattice through large-scale quantum Monte Carlo simulations and stochastic analytic continuation. At weak transverse field, we capture for the first time the excitations related to topological quantum strings, which exhibits continuum features described by XY chain along the strings and those in accord with "Luttinger string liquid" in the perpendicular direction. The continuum features can be well understood from the perspective of topological strings. Furthermore, we identify the contribution of strings from the excitation spectrum. Our study provides characteristic features for the experimental search for string-related excitations and proposes a new theoretical method to pinpoint topological excitations in the experimental spectra.