Work

A dynamical bulk-boundary correspondence in two dimensional topological matter

Year: 2026

Type: article

Abstract: We provide strong numerical evidence for a dynamical bulk-boundary correspondence in two-dimensional topological matter which manifests itself as boundary contributions to the dynamical free energy and is governed by a two-dimensional non-Hermitian dynamical Loschmidt matrix—a setting largely unexplored beyond one dimension. Following a quantum quench, in-gap bands emerge in the spectrum of the Loschmidt matrix between successive dynamical quantum phase transitions when the time-evolving Hamiltonian is topological, while they are absent for quenches into the trivial phase in all cases we have studied. By fitting these in-gap bands, we show that they account for the observed boundary contributions to the dynamical free energy thus supporting a direct connection between the spectrum of a non-Hermitian dynamical matrix and topological boundary contributions. Taken together with earlier studies of the one-dimensional case, our results provide a framework to understand and classify dynamical topological phenomena based on the spectral properties of certain non-Hermitian matrices.

Source: Journal of Statistical Mechanics Theory and Experiment

DOI: 10.1088/1742-5468/ae6c16

Authors: Tomasz Masłowski, Jesko Sirker, Nicholas Sedlmayr

Institutions: Rzeszów University of Technology, University of Manitoba, Maria Curie-Skłodowska University

Language: English

Topic: Quantum many-body systems

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,290

Funder: Natural Sciences and Engineering Research Council of Canada