Year: 2019
Type: article
Abstract: This paper shows that non-hermitian quantum many-body systems, constructed as an ``analytic continuation'' of ergodic Hermitian systems, feature an exponential proliferation of exceptional points. This implies that all eigenvalues of a generic many-body system lie on a single massively interconnected Riemann surface. These results present a new perspective on both quantum ergodicity and non-Hermitian physics, and uncover a connection between level repulsion in the Hermitian limit to the corresponding exceptional points
Source: Physical Review Research
Authors: David J. Luitz, Francesco Piazza
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $2,625
OpenAlex ID: W2948278380