2025/04/03 by Thakur, Ratul, Bikram Pain, Sthitadhi Roy +2 · 2 citations
Materials Science · Physics and Astronomy · #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Nonlinear Optical Materials Research #Quantum Gases (cond-mat.quant-gas) #Quantum Physics (quant-ph) #Solid-state spectroscopy and crystallography #Spectroscopy and Quantum Chemical Studies #Statistical Mechanics (cond-mat.stat-mech)
paper · pdf · doi:10.48550/arxiv.2504.02815
openalex publication_date 2025/04/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We investigate the operator entanglement of the time-evolution operator through the framework of eigenstate correlations. Focusing on strongly disordered quantum many-body systems in the many-body localised (MBL) regime, we analyse the operator entanglement across various spatiotemporal cuts, revealing the logarithmic lightcone of entanglement spreading. We demonstrate that this logarithmic lightcone arises directly from a hierarchy of energyscales and lengthscales encoded in eigenstate correlations. By characterising the statistics of these hierarchical scales, we develop a microscopic theory for the spatiotemporal structure of entanglement spreading in MBL systems -- without invoking phenomenological constructs such as ℓ-bits. This approach reveals the fundamental connection between eigenstate correlations and the emergent entanglement structure in MBL systems.