Work

Spread complexity and localization in PT -symmetric systems

Year: 2024

Type: article

Abstract: This study investigates the behavior of wave functions in parity-time (\ensuremath{\mathcal{P}}\ensuremath{\mathcal{T}}) symmetric quantum systems, focusing on their spread and localization. Using a tight-binding chain model, the authors explore the dynamics under \ensuremath{\mathcal{P}}\ensuremath{\mathcal{T}} symmetry and its breaking. By employing innovative quantum information measures, such as complexity, entropy, and inverse participation ratio in Krylov space, they quantify the wave function's distribution. In the \ensuremath{\mathcal{P}}\ensuremath{\mathcal{T}}-symmetric phase, the wave function spreads evenly, while \ensuremath{\mathcal{P}}\ensuremath{\mathcal{T}} symmetry breaking leads to localization, exemplifying the non-Hermitian skin effect and edge modes.

Source: Physical review. B./Physical review. B

DOI: 10.1103/physrevb.110.064320

Authors: Aranya Bhattacharya, Rathindra Nath Das, Bidyut Dey, Johanna Erdmenger

Institutions: Jagiellonian University, University of Würzburg, University of Calabria

Language: English

Topic: Quantum Mechanics and Non-Hermitian Physics

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green