Related Experiment Video
Updated: Sep 6, 2025

Three and Four-Dimensional Visualization and Analysis Approaches to Study Vertebrate Axial Elongation and Segmentation
Published on: February 28, 2021
Entanglement of Skeletal Regions.
Clément Berthiere1,2, William Witczak-Krempa1,2
1Université de Montréal, C. P. 6128, Succursale Centre-ville, Montréal, QC, Canada, H3C 3J7.
This study introduces skeletal entanglement entropy for zero-volume regions in quantum systems. Skeletal entanglement reveals new behaviors and universal quantities, offering insights into entanglement range.
Area of Science:
- Quantum Many-Body Physics
- Condensed Matter Theory
Background:
- Entanglement entropy (EE) typically measures correlations in finite-volume subregions of quantum systems.
- Understanding entanglement in lower-dimensional or boundary regions is crucial for a complete picture.
Purpose of the Study:
- To investigate the properties and universal quantities of entanglement entropy in zero-volume, or skeletal, regions.
- To establish nonperturbative bounds for skeletal entanglement and explore its scaling behavior in various quantum models.
Main Methods:
- Analysis of entanglement entropy for skeletal regions (e.g., a line in 2D).
- Derivation of nonperturbative bounds for the skeletal area-law coefficient.
- Examination of skeletal scaling in diverse quantum systems like the toric code, conformal bosons, Dirac fermions, Lifshitz critical points, and Fermi liquids.
Main Results:
- Skeletal entanglement exhibits distinct behavior and universal quantities compared to bulk entanglement.
- Identified signatures include skeletal topological entanglement entropy and novel corner terms.
- Demonstrated strict area-law scaling for metals and provided nonperturbative bounds for quantum states.
Conclusions:
- Skeletal entanglement entropy serves as a novel measure for the range of entanglement in quantum systems.
- The study opens avenues for exploring other quantum measures like logarithmic negativity and their application to skeletal regions.
Related Concept Videos
Fascicle Arrangement in Skeletal Muscles
The four primary types of muscle based on fascicle arrangement are:
Regional Terms
Primarily, the human body has two major regions, the axial and appendicular regions. The axial region comprises regions from the head to the abdomen and makes up the central body axis. In contrast,...
Spinal Cord: Cross-sectional Anatomy
Gray Matter and its Components
Central to the gray matter is...
Skeletal Muscle Anatomy
Relaxation of Skeletal Muscles
When an action potential reaches the axon terminal, it depolarizes the membrane and opens voltage-gated sodium channels. Sodium ions enter the cell, further depolarizing the presynaptic membrane. This depolarization causes voltage-gated calcium channels to open....
Axial and Appendicular Muscles
Axial Muscles
Axial muscles, situated along the body's midline, are intricately connected to the axial skeleton, which includes the skull, spine, ribs, and sternum. These muscles facilitate facial expressions and...

