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Related Concept Videos

Atomic Nuclei: Nuclear Relaxation Processes01:23

Atomic Nuclei: Nuclear Relaxation Processes

In the absence of an external magnetic field, nuclear spin states are degenerate and randomly oriented. When a magnetic field is applied, the spins begin to precess and orient themselves along (lower energy) or against (higher energy) the direction of the field. At equilibrium, a slight excess population of spins exists in the lower energy state. Because the direction of the magnetic field is fixed as the z-axis,  the precessing magnetic moments are randomly oriented around the z-axis. This...
Atomic Nuclei: Nuclear Spin State Overview01:03

Atomic Nuclei: Nuclear Spin State Overview

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...
Atomic Nuclei: Nuclear Spin State Population Distribution01:14

Atomic Nuclei: Nuclear Spin State Population Distribution

Near absolute zero temperatures, in the presence of a magnetic field, the majority of nuclei prefer the lower energy spin-up state to the higher energy spin-down state. As temperatures increase, the energy from thermal collisions distributes the spins more equally between the two states. The Boltzmann distribution equation gives the ratio of the number of spins predicted in the spin −½ (N−) and spin +½ (N+) states.
NMR Spectroscopy: Spin–Spin Coupling01:08

NMR Spectroscopy: Spin–Spin Coupling

The spin state of an NMR-active nucleus can have a slight effect on its immediate electronic environment. This effect propagates through the intervening bonds and affects the electronic environments of NMR-active nuclei up to three bonds away; occasionally, even farther. This phenomenon is called spin–spin coupling or J-coupling. Coupling interactions are mutual and result in small changes in the absorption frequencies of both nuclei involved. While nuclei of the same element are involved in...
Atomic Nuclei: Types of Nuclear Relaxation01:28

Atomic Nuclei: Types of Nuclear Relaxation

Nuclear relaxation restores the equilibrium population imbalance and can occur via spin–lattice or spin–spin mechanisms, which are first-order exponential decay processes.
In spin–lattice or longitudinal relaxation, the excited spins exchange energy with the surrounding lattice as they return to the lower energy level. Among several mechanisms that contribute to spin–lattice relaxation, magnetic dipolar interactions are significant. Here, the excited nucleus transfers energy to a nearby...
Double Resonance Techniques: Overview01:12

Double Resonance Techniques: Overview

Double resonance techniques in Nuclear Magnetic Resonance (NMR) spectroscopy involve the simultaneous application of two different frequencies or radiofrequency pulses to manipulate and observe two distinct nuclear spins. One important application of double resonance is spin decoupling, which selectively suppresses coupling with one type of nucleus while observing the NMR signal from another nucleus, simplifying the spectrum and enhancing resolution.
Spin decoupling is usually achieved by...

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Related Experiment Video

Updated: Jun 25, 2026

Site Directed Spin Labeling and EPR Spectroscopic Studies of Pentameric Ligand-Gated Ion Channels
11:19

Site Directed Spin Labeling and EPR Spectroscopic Studies of Pentameric Ligand-Gated Ion Channels

Published on: July 4, 2016

Electron spin dephasing due to hyperfine interactions with a nuclear spin bath.

Lukasz Cywiński1, Wayne M Witzel, S Das Sarma

  • 1Condensed Matter Theory Center, Department of Physics, University of Maryland, College Park, Maryland 20742-4111, USA.

Physical Review Letters
|March 5, 2009
PubMed
Summary
This summary is machine-generated.

We present a theory for spin qubit decoherence in nuclear spin baths. Our model explains decoherence mechanisms, including spectral diffusion and hyperfine interactions, applicable down to 10 mT magnetic fields.

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Last Updated: Jun 25, 2026

Site Directed Spin Labeling and EPR Spectroscopic Studies of Pentameric Ligand-Gated Ion Channels
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Published on: July 4, 2016

Study of Protein Dynamics via Neutron Spin Echo Spectroscopy
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Area of Science:

  • Quantum computing
  • Solid-state physics

Background:

  • Spin qubits are promising for quantum computation.
  • Decoherence limits qubit performance.
  • Nuclear spin baths induce decoherence through various mechanisms.

Purpose of the Study:

  • Investigate pure dephasing decoherence of spin qubits.
  • Analyze decoherence in the presence of a nuclear spin bath.
  • Develop a theory for hyperfine-mediated decoherence.

Main Methods:

  • Studied free induction decay and spin echo.
  • Developed a theory for decoherence due to hyperfine interactions.
  • Analyzed long-range nature of nuclear spin interactions.

Main Results:

  • Identified spectral diffusion as the primary decoherence mechanism at high magnetic fields.
  • Showed hyperfine-mediated interactions become significant at lower magnetic fields.
  • Validated the theory's applicability down to approximately 10 mT for thermal uncorrelated baths.

Conclusions:

  • The developed theory accurately describes spin qubit decoherence.
  • Hyperfine interactions play a crucial role in decoherence at lower magnetic fields.
  • The findings enable comparison with experimental results in GaAs quantum dots.