Entanglement dynamics of delocalized interacting particles

Quantum Physics [Submitted on 21 Apr 2026] Entanglement dynamics of delocalized interacting particles M. F. V. Oliveira, F. A. B. F. de Moura, M. L. Lyra, G. M. A. Almeida Quantum entanglement in systems of identical particles is often obscured by the interplay between exchange-induced correlations and the operational framework used to define entanglement. To study the role of exchange statistics, we propose a scheme using two \textit{distinguishable} particles where an exchange symmetry is artificially engineered via a relative phase \theta in the initial state. This approach allows continuous tuning from bosonic (\theta = 0) to fermionic (\theta = \pi) statistics. By monitoring the interplay between purity and coherence, we uncover distinct dynamical regimes dictated by the interaction strength U and the phase \theta. For particles initially loaded in a bound state, strong U suppresses coherence development by avoiding the scattering band, reducing the purity toward its minimum. For particles initially on neighboring sites, coherence grows linearly in time. While non-symmetric inputs feature a sharp purity reduction at intermediate U, due to the competition between bound and unbound states, symmetric initial conditions produce transient coherence bursts that significantly enhance the purity. More generally, tuning the phase \theta reveals a high-purity region over a range of \theta at intermediate interactions, with the purity collapsing to 1/2 as \theta approaches the fermionic limit. Our results show that the imposed statistics, or lack thereof, reshapes the entanglement dynamics and its response to the interaction U. Comments: 8 pages, 5 figures Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2604.18960 [quant-ph]   (or arXiv:2604.18960v1 [quant-ph] for this version)   https://doi.org/10.48550/arXiv.2604.18960 Focus to learn more Submission history From: Guilherme Martins Alves De Almeida [view email] [v1] Tue, 21 Apr 2026 01:18:37 UTC (1,822 KB) Access Paper: HTML (experimental) view license Current browse context: quant-ph < prev   |   next > new | recent | 2026-04 References & Citations INSPIRE HEP NASA ADS Google Scholar Semantic Scholar Export BibTeX Citation Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer (What is the Explorer?) Connected Papers Toggle Connected Papers (What is Connected Papers?) Litmaps Toggle Litmaps (What is Litmaps?) scite.ai Toggle scite Smart Citations (What are Smart Citations?) Code, Data, Media Demos Related Papers About arXivLabs Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)