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Related Concept Videos

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.
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...
The Pauli Exclusion Principle03:06

The Pauli Exclusion Principle

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:
Spin–Spin Coupling Constant: Overview01:08

Spin–Spin Coupling Constant: Overview

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 have a...
¹H NMR: Interpreting Distorted and Overlapping Signals01:02

¹H NMR: Interpreting Distorted and Overlapping Signals

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 slanted or...
Atomic Nuclei: Nuclear Spin01:08

Atomic Nuclei: Nuclear Spin

All atomic particles possess an intrinsic angular momentum, or 'spin'. Electrons, protons, and neutrons each have a spin value of ½, although protons and neutrons in nuclei may have higher half-integer spins owing to energetic factors.
Atomic nuclei have a net nuclear spin, , which can have an integer or half-integer value. In atomic nuclei, the spins of protons are paired against each other but not with neutrons, and vice versa. Consequently, an even number of protons does not contribute to...

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Related Experiment Video

Updated: May 21, 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

Efficient quantification of non-gaussian spin distributions.

B Dubost1, M Koschorreck, M Napolitano

  • 1ICFO-Institut de Ciencies Fotoniques, Av. Carl Friedrich Gauss, 3, 08860 Castelldefels, Barcelona, Spain. brice.dubost@icfo.es

Physical Review Letters
|June 12, 2012
PubMed
Summary
This summary is machine-generated.

We quantify non-Gaussian distributions using unbiased estimators and nondestructive measurements. This method is efficient, robust to noise, and ideal for detecting nonclassical states in quantum systems.

Related Experiment Videos

Last Updated: May 21, 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

Area of Science:

  • Quantum optics
  • Atomic physics
  • Statistical mechanics

Background:

  • Characterizing quantum states often requires complex measurements.
  • Non-Gaussian states are crucial for quantum information processing.
  • Measurement noise can hinder accurate state quantification.

Purpose of the Study:

  • To develop a robust method for quantifying non-Gaussian distributions.
  • To enable efficient and noise-resilient detection of nonclassical states.
  • To optimize measurement strategies in quantum experiments.

Main Methods:

  • Theoretical analysis using cumulant theory.
  • Development of unbiased estimators for cumulants.
  • Experimental application to cold 87Rb spin ensembles.
  • Nondestructive Faraday rotation probing.

Main Results:

  • A quantification method that is efficient and unbiased by measurement noise.
  • Demonstration of suitability for hypothesis testing, including nonclassical state detection.
  • Identification of optimal measurement resource utilization under realistic conditions.

Conclusions:

  • The developed method provides a powerful tool for characterizing non-Gaussian states.
  • This approach is particularly relevant for applications in atomic ensemble quantum memories.
  • The findings offer practical guidelines for experimental quantum state analysis.