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Related Concept Videos

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 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...
The Bohr Model02:18

The Bohr Model

Following the work of Ernest Rutherford and his colleagues in the early twentieth century, the picture of atoms consisting of tiny dense nuclei surrounded by lighter and even tinier electrons continually moving about the nucleus was well established. This picture was called the planetary model since it pictured the atom as a miniature “solar system” with the electrons orbiting the nucleus like planets orbiting the sun. The simplest atom is hydrogen, consisting of a single proton as the nucleus...
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...
The Quantum-Mechanical Model of an Atom02:45

The Quantum-Mechanical Model of an Atom

Shortly after de Broglie published his ideas that the electron in a hydrogen atom could be better thought of as being a circular standing wave instead of a particle moving in quantized circular orbits, Erwin Schrödinger extended de Broglie’s work by deriving what is now known as the Schrödinger equation. When Schrödinger applied his equation to hydrogen-like atoms, he was able to reproduce Bohr’s expression for the energy and, thus, the Rydberg formula governing hydrogen spectra. Schrödinger...
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.

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Related Experiment Video

Updated: May 24, 2026

Gradient Echo Quantum Memory in Warm Atomic Vapor
10:00

Gradient Echo Quantum Memory in Warm Atomic Vapor

Published on: November 11, 2013

From rotating atomic rings to quantum Hall states.

M Roncaglia1, M Rizzi, J Dalibard

  • 1Dipartimento di Fisica del Politecnico, Corso Duca degli Abruzzi 24, I-10129, Torino, Italy; Max Planck Institut fur Quantenoptik, Hans-Kopferman-Str. 1, D-85748, Garching, Germany. ronaglia@bo.infn.it

Scientific Reports
|February 23, 2012
PubMed
Summary
This summary is machine-generated.

Researchers propose a dynamic method to achieve ultracold atoms in the quantum Hall regime. By starting with a ring-shaped gas, they can access large angular momenta and reach the desired quantum Hall states, including the bosonic Laughlin state.

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Resonance Fluorescence of an InGaAs Quantum Dot in a Planar Cavity Using Orthogonal Excitation and Detection

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Gradient Echo Quantum Memory in Warm Atomic Vapor
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Resonance Fluorescence of an InGaAs Quantum Dot in a Planar Cavity Using Orthogonal Excitation and Detection
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Published on: October 13, 2017

Area of Science:

  • Atomic physics
  • Quantum Hall effect
  • Condensed matter physics

Background:

  • Achieving ultracold neutral atoms in the strongly correlated quantum Hall regime requires high angular momentum.
  • Experimental limitations in rotating traps make achieving these conditions challenging due to stringent parameter control near the deconfinement limit.

Purpose of the Study:

  • To propose a novel dynamic method for preparing ultracold atoms in the quantum Hall regime.
  • To overcome the experimental limitations associated with high angular momentum requirements in rotating traps.

Main Methods:

  • Confining an atomic gas in a rotating ring to achieve large angular momenta and giant vortex states.
  • Adiabatically transforming the ring-shaped trap into a harmonic confinement.
  • Utilizing numerical simulations to verify the proposed method.

Main Results:

  • The dynamic path facilitates access to large angular momenta, enabling the formation of giant vortex states.
  • The adiabatic transformation successfully brings the interacting atomic gas into the quantum Hall regime.
  • Numerical evidence confirms the adiabatic connection between the giant-vortex state and the bosonic ν = 1/2 Laughlin state for various initial conditions.

Conclusions:

  • The proposed dynamic method offers a viable alternative for preparing ultracold atoms in the quantum Hall regime.
  • This approach circumvents the stringent experimental requirements of traditional methods.
  • The study demonstrates a pathway to realize exotic quantum states like the bosonic Laughlin state.