Self acceleration from spectral geometry in dissipative quantum-walk dynamics.

ABSTRACT: The dynamic behavior of a physical system often originates from its spectral properties. In open systems, where the effective non-Hermitian description enables a wealth of spectral structures in the complex plane, the concomitant dynamics are significantly enriched, whereas the identification and comprehension of the underlying connections are challenging. Here we experimentally demonstrate the correspondence between the transient self-acceleration of local excitations and the non-Hermitian spectral topology using lossy photonic quantum walks. Focusing first on one-dimensional quantum walks, we show that the measured short-time acceleration of the wave function is proportional to the area enclosed by the eigenspectrum. We then reveal a similar correspondence in two-dimension quantum walks,

SUBMITTER: Xue P 

PROVIDER: S-EPMC11116542 | biostudies-literature | 2024 May

REPOSITORIES: biostudies-literature