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

Propagation of Action Potentials01:23

Propagation of Action Potentials

15.4K
The propagation of an action potential refers to the process by which a nerve impulse, or "action potential," travels along a neuron.
Neurons (nerve cells) have a resting membrane potential, with a slightly negative charge inside compared to outside. This is maintained by ion channels, such as sodium (Na+) and potassium (K+) channels, which control the flow of ions. When a stimulus, like a touch or a signal from another neuron, triggers the neuron, sodium channels open, allowing sodium ions to...
15.4K
Spin–Spin Coupling Constant: Overview01:08

Spin–Spin Coupling Constant: Overview

1.2K
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...
1.2K
Spin–Spin Coupling: One-Bond Coupling01:17

Spin–Spin Coupling: One-Bond Coupling

1.2K
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,...
1.2K
Spin–Spin Coupling: Two-Bond Coupling (Geminal Coupling)01:20

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

1.5K
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...
1.5K
Atomic Nuclei: Nuclear Spin State Overview01:03

Atomic Nuclei: Nuclear Spin State Overview

1.9K
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 one, the...
1.9K
Magnetic Field Of A Current Loop01:16

Magnetic Field Of A Current Loop

6.1K
Consider a circular loop with a radius a, that carries a current I. The magnetic field due to the current at an arbitrary point P along the axis of the loop can be calculated using the Biot-Savart law.
6.1K

You might also read

Related Articles

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

Sort by
Same author

Lanczos-Pascal Approach to Correlation Functions in Chaotic Quantum Systems.

Physical review letters·2026
Same author

Nontrivial damping of magnetization currents in perturbed spin chains.

Physical review. E·2025
Same author

Estimate of Equilibration Times of Quantum Correlation Functions in the Thermodynamic Limit Based on Lanczos Coefficients.

Physical review letters·2025
Same author

Evidence for simple arrow of time functions in closed chaotic quantum systems.

Physical review. E·2025
Same author

Emergence of unitary symmetry of microcanonically truncated operators in chaotic quantum systems.

Physical review. E·2024
Same author

Estimation of equilibration time scales from nested fraction approximations.

Physical review. E·2024

Related Experiment Video

Updated: May 1, 2026

Interfacing Microfluidics with Microelectrode Arrays for Studying Neuronal Communication and Axonal Signal Propagation
11:27

Interfacing Microfluidics with Microelectrode Arrays for Studying Neuronal Communication and Axonal Signal Propagation

Published on: December 8, 2018

7.6K

Spin-current autocorrelations from single pure-state propagation.

Robin Steinigeweg1, Jochen Gemmer2, Wolfram Brenig1

  • 1Institute for Theoretical Physics, Technical University Braunschweig, D-38106 Braunschweig, Germany.

Physical Review Letters
|April 15, 2014
PubMed
Summary
This summary is machine-generated.

Quantum typicality simplifies studying spin dynamics in quantum magnets. This method accurately predicts spin transport properties, offering new benchmarks for the spin Drude weight.

More Related Videos

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
09:23

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators

Published on: May 30, 2014

13.9K
Measurement of Coherence Decay in GaMnAs Using Femtosecond Four-wave Mixing
15:58

Measurement of Coherence Decay in GaMnAs Using Femtosecond Four-wave Mixing

Published on: December 3, 2013

8.6K

Related Experiment Videos

Last Updated: May 1, 2026

Interfacing Microfluidics with Microelectrode Arrays for Studying Neuronal Communication and Axonal Signal Propagation
11:27

Interfacing Microfluidics with Microelectrode Arrays for Studying Neuronal Communication and Axonal Signal Propagation

Published on: December 8, 2018

7.6K
Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
09:23

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators

Published on: May 30, 2014

13.9K
Measurement of Coherence Decay in GaMnAs Using Femtosecond Four-wave Mixing
15:58

Measurement of Coherence Decay in GaMnAs Using Femtosecond Four-wave Mixing

Published on: December 3, 2013

8.6K

Area of Science:

  • Condensed Matter Physics
  • Quantum Magnetism
  • Statistical Mechanics

Background:

  • Understanding real-time spin dynamics and transport in quantum magnets is crucial.
  • Quantum typicality offers a potential simplification for studying complex quantum systems.

Purpose of the Study:

  • To demonstrate how quantum typicality can advance the study of real-time spin dynamics and transport in quantum magnets.
  • To numerically analyze the spin-current autocorrelation function of a spin-1/2 Heisenberg chain using quantum typicality.

Main Methods:

  • Numerical analysis of the spin-current autocorrelation function.
  • Utilizing the concept of quantum typicality by propagating a single, randomly chosen pure state.
  • Comparison with existing time-dependent density-matrix renormalization group (t-DMRG) data.

Main Results:

  • Quantum typicality is well-fulfilled for the studied spin-1/2 Heisenberg chain.
  • The proposed approach shows controllable errors that vanish in the thermodynamic limit.
  • New benchmark results for the spin Drude weight were obtained for chains up to L=33 sites.

Conclusions:

  • Quantum typicality provides a powerful and accurate method for investigating spin dynamics and transport in quantum magnets.
  • The findings establish a new benchmark for the spin Drude weight, extending previous studies to larger system sizes.