Year: 2019
Type: article
Abstract: Exceptional points (EPs) are ubiquitous in non-Hermitian systems, and represent the complex counterpart of critical points. By driving a system through a critical point at finite rate induces defects, described by the Kibble-Zurek mechanism, which finds applications in diverse fields of physics. Here we generalize this to a ramp across an EP. We find that adiabatic time evolution brings the system into an eigenstate of the final non-Hermitian Hamiltonian and demonstrate that for a variety of drives through an EP, the defect density scales as τ −( d + z ) ν /( zν + 1) in terms of the usual critical exponents and 1/ τ the speed of the drive. Defect production is suppressed compared to the conventional Hermitian case as the defect state can decay back to the ground state close to the EP. We provide a physical picture for the studied dynamics through a mapping onto a Lindblad master equation with an additionally imposed continuous measurement.
Source: Nature Communications
Authors: Balázs Dóra, Markus Heyl, Roderich Moessner
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $5,200
Funders: Deutsche Forschungsgemeinschaft, Gottfried Wilhelm Leibniz Universität Hannover, Unitatea Executiva pentru Finantarea Invatamantului Superior, a Cercetarii, Dezvoltarii si Inovarii, Nemzeti Kutatási Fejlesztési és Innovációs Hivatal, Leibniz-Gemeinschaft, National Research, Development and Innovation Office
OpenAlex ID: W2905315971