Entanglement dynamics of delocalized interacting particles

• URL: http://arxiv.org/abs/2604.18960v1
• Date: Tue, 21 Apr 2026 01:18:37 GMT
• Title: Entanglement dynamics of delocalized interacting particles
• Abstract summary: 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.<n>We propose a scheme using two textitdistinguishable particles where an exchange symmetry is artificially engineered via a relative phase $$ in the initial state.<n>By monitoring the interplay between purity and coherence, we uncover distinct dynamical regimes dictated by the interaction strength $U$ and the phase $$.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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 $θ$ in the initial state. This approach allows continuous tuning from bosonic ($θ= 0$) to fermionic ($θ= π$) statistics. By monitoring the interplay between purity and coherence, we uncover distinct dynamical regimes dictated by the interaction strength $U$ and the phase $θ$. 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 $θ$ reveals a high-purity region over a range of $θ$ at intermediate interactions, with the purity collapsing to $1/2$ as $θ$ approaches the fermionic limit. Our results show that the imposed statistics, or lack thereof, reshapes the entanglement dynamics and its response to the interaction $U$.

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