Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Atomic Nuclei: Nuclear Spin State Overview01:03

Atomic Nuclei: Nuclear Spin State Overview

1.2K
NMR-active nuclei have energy levels called 'spin states' that are associated with the orientations of their nuclear magnetic moments. In the absence of a magnetic field, the nuclear magnetic moments are randomly oriented, and the spin states are degenerate. When an external magnetic field is applied, the spin states have only 2 + 1 orientations available to them. A proton with = ½ has two available orientations. Similarly, for a quadrupolar nucleus with a nuclear spin value of...
1.2K
¹H NMR: Interpreting Distorted and Overlapping Signals01:02

¹H NMR: Interpreting Distorted and Overlapping Signals

1.1K
Spin systems where the difference in chemical shifts of the coupled nuclei is greater than ten times J are called first-order spin systems. These nuclei are weakly coupled, and their chemical shifts and coupling constant can generally be estimated from the well-separated signals in the spectrum.
As Δν decreases and the signals move closer, the doublets appear increasingly distorted. The intensities of the inner lines increase at the cost of those of the outer lines as the signals are...
1.1K
The Pauli Exclusion Principle03:06

The Pauli Exclusion Principle

51.6K
The arrangement of electrons in the orbitals of an atom is called its electron configuration. We describe an electron configuration with a symbol that contains three pieces of information:
51.6K
Spin–Spin Coupling: One-Bond Coupling01:17

Spin–Spin Coupling: One-Bond Coupling

1.1K
Coupling interactions are strongest between NMR-active nuclei bonded to each other, where spin information can be transmitted directly through the pair of bonding electrons. While nuclei polarize their electrons to the opposite spins, the bonding electron pair has opposite spins. Configurations with antiparallel nuclear spins are expected to be lower in energy. When coupling makes antiparallel states more favorable, J is considered to have a positive value. The one-bond coupling constant, 1J,...
1.1K
Spin–Spin Coupling Constant: Overview01:08

Spin–Spin Coupling Constant: Overview

1.0K
In bromoethane, the three methyl protons are coupled to the two methylene protons that are three bonds away. In accordance with the n+1 rule, the signal from the methyl protons is split into three peaks with 1:2:1 relative intensities. The methylene protons appear as a quartet, with the relative intensities of 1:3:3:1.
Qualitatively, any spin plus-half nucleus polarizes the spins of its electrons to the minus-half state. Consequently, the paired electron in the hydrogen–carbon bond must...
1.0K
Spin–Spin Coupling: Two-Bond Coupling (Geminal Coupling)01:20

Spin–Spin Coupling: Two-Bond Coupling (Geminal Coupling)

1.2K
Two NMR-active nuclei bonded to a central atom can be involved in geminal or two-bond coupling. Geminal coupling is commonly seen between diastereotopic protons in chiral molecules and unsymmetrical alkenes, among others.
The central atom need not be NMR-active because its electrons are affected by the electron polarization of the spin-active atoms. However, spin information is transmitted less effectively than in one-bond coupling, and 2J values are usually weaker than 1J values. The energy of...
1.2K

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Artificial Intelligence and Network Medicine: Path to Precision Medicine.

NEJM AI·2025
Same author

Estimating Molecular Thermal Averages with the Quantum Equation of Motion and Informationally Complete Measurements.

Entropy (Basel, Switzerland)·2024
Same author

Link Prediction with Continuous-Time Classical and Quantum Walks.

Entropy (Basel, Switzerland)·2023
Same author

Scaling up real networks by geometric branching growth.

Proceedings of the National Academy of Sciences of the United States of America·2021

Related Experiment Video

Updated: Sep 22, 2025

Experimental Methods for Spin- and Angle-Resolved Photoemission Spectroscopy Combined with Polarization-Variable Laser
09:00

Experimental Methods for Spin- and Angle-Resolved Photoemission Spectroscopy Combined with Polarization-Variable Laser

Published on: June 28, 2018

10.1K

Emergent entanglement structures and self-similarity in quantum spin chains.

Boris Sokolov1,2,3, Matteo A C Rossi2,4,5, Guillermo García-Pérez1,2,3,6

  • 1QTF Centre of Excellence, Department of Physics, Faculty of Science, University of Helsinki, Helsinki, Finland.

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences
|May 23, 2022
PubMed
Summary
This summary is machine-generated.

We developed a network representation for quantum states using entanglement. This approach reveals new phenomena in the XX model, including emergent structures and self-similarity, even in well-studied systems.

Keywords:
XX modelemergenceentanglementself-similarity

More Related Videos

DNA Nanotubes as a Versatile Tool to Study Semiflexible Polymers
08:00

DNA Nanotubes as a Versatile Tool to Study Semiflexible Polymers

Published on: October 25, 2017

7.0K
Nanofabrication of Gate-defined GaAs/AlGaAs Lateral Quantum Dots
15:47

Nanofabrication of Gate-defined GaAs/AlGaAs Lateral Quantum Dots

Published on: November 1, 2013

16.4K

Related Experiment Videos

Last Updated: Sep 22, 2025

Experimental Methods for Spin- and Angle-Resolved Photoemission Spectroscopy Combined with Polarization-Variable Laser
09:00

Experimental Methods for Spin- and Angle-Resolved Photoemission Spectroscopy Combined with Polarization-Variable Laser

Published on: June 28, 2018

10.1K
DNA Nanotubes as a Versatile Tool to Study Semiflexible Polymers
08:00

DNA Nanotubes as a Versatile Tool to Study Semiflexible Polymers

Published on: October 25, 2017

7.0K
Nanofabrication of Gate-defined GaAs/AlGaAs Lateral Quantum Dots
15:47

Nanofabrication of Gate-defined GaAs/AlGaAs Lateral Quantum Dots

Published on: November 1, 2013

16.4K

Area of Science:

  • Quantum physics
  • Complex systems science
  • Condensed matter theory

Background:

  • Understanding many-body quantum states is crucial for quantum information and condensed matter physics.
  • Traditional methods struggle to capture the complex entanglement structure in large quantum systems.
  • Complex network theory offers novel tools for analyzing intricate relationships within systems.

Purpose of the Study:

  • To introduce a network representation for many-body quantum states based on pairwise entanglement.
  • To apply this network approach to the XX spin chain model to uncover new physical phenomena.
  • To demonstrate the utility of complex network theory in revealing hidden properties of quantum states.

Main Methods:

  • Constructing a network where nodes represent quantum constituents and edges represent entanglement.
  • Analyzing the topology and properties of these entanglement networks.
  • Applying community detection algorithms to identify emergent structures within the quantum state.
  • Investigating symmetries in single-spin concurrence distributions and network topology.

Main Results:

  • The network representation reveals new phenomena in the XX model, including quasi-long range order.
  • Symmetries in concurrence distributions and network instabilities accompany the establishment of order.
  • Emergent, spatially localized entanglement structures (communities) are identified.
  • Cyclic self-similarity and structural classes are discovered within the quantum state.

Conclusions:

  • Network theory provides powerful tools for discovering and understanding new physics in quantum systems.
  • The entanglement network representation offers a novel perspective on many-body quantum states.
  • This approach can reveal complex phenomena even in systems studied for decades.