Entanglement Islands in 1D and 2D Lattices with Defects

Area of Science:

• Quantum Physics
• Condensed Matter Physics
• Quantum Information Science

Background:

• Quantum entanglement is a key resource for quantum technologies.
• Understanding entanglement's spatial distribution in realistic systems is crucial.
• Structural defects can significantly alter quantum correlations.

Purpose of the Study:

• To investigate the spatial structure of quantum entanglement in defective lattice systems.
• To analyze how structural defects influence entanglement and coherence.
• To develop a scalable method for real-space quantum information analysis.

Main Methods:

• Utilized the Time-Dependent Quantum Monte Carlo (TDQMC) method.
• Constructed reduced density matrices from ensembles of guide waves.
• Analyzed Coulomb-mediated entanglement and coherence without full many-body wavefunctions.

Main Results:

• Identified localized "entanglement islands" where quantum correlations are modified by defects.
• Observed entanglement concentrating near defects in 1D systems.
• Found bridge-like and radially symmetric entanglement domains in 2D systems.

Conclusions:

• TDQMC provides a scalable and transparent framework for analyzing quantum information in real space.
• Defect-induced spatial variations in entanglement have implications for quantum materials and sensing.
• The findings offer insights into information transfer and coherent state engineering in nanostructures.