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Related Concept Videos

Atomic Nuclei: Nuclear Spin State Population Distribution01:14

Atomic Nuclei: Nuclear Spin State Population Distribution

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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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Atomic Nuclei: Nuclear Spin State Overview01:03

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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...
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Atomic Nuclei: Nuclear Relaxation Processes01:23

Atomic Nuclei: Nuclear Relaxation Processes

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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.
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The Hall Effect01:30

The Hall Effect

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Edwin H. Hall, in the year 1879, devised an experiment that could be used to identify the polarity of the predominant charge carriers in a conducting material. From a historical perspective, this experiment was the first to demonstrate that the charge carriers in most metals are negative.
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The Pauli Exclusion Principle03:06

The Pauli Exclusion Principle

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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:
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Spin–Spin Coupling Constant: Overview01:08

Spin–Spin Coupling Constant: Overview

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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...
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Spontaneous quantum Hall effect in an atomic spinor Bose-Fermi mixture.

Zhi-Fang Xu1, Xiaopeng Li2, Peter Zoller3,4

  • 1Department of Physics and Astronomy, University of Pittsburgh, Pittsburgh, Pennsylvania 15260, USA.

Physical Review Letters
|April 11, 2015
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Summary

Researchers explored spin-1 bosons and spin-1/2 fermions in optical lattices. They discovered interactions can induce a quantum Hall effect in fermions and crystalline superfluidity in bosons.

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Area of Science:

  • Quantum physics
  • Condensed matter physics
  • Atomic physics

Background:

  • Cold atoms provide a tunable platform for studying quantum many-body phenomena.
  • Optical lattices enable the precise control of atomic interactions and confinement.

Purpose of the Study:

  • Investigate the ground state phases of a mixture of spin-1 bosonic and spin-1/2 fermionic cold atoms.
  • Map the phase diagram by varying boson tunneling and Bose-Fermi interactions.

Main Methods:

  • Utilizing a triangular optical lattice to confine ^{87}Rb (bosons) and ^{6}Li (fermions).
  • Simulating systems with fermions at 3/4 filling to observe Fermi surface nesting effects.
  • Analyzing spontaneous spin textures in the bosonic component.

Main Results:

  • Fermi surface nesting in fermions drives the spontaneous formation of various bosonic spin textures (collinear, coplanar, noncoplanar).
  • A specific noncoplanar state exhibits a spontaneous quantum Hall effect in the fermionic component.
  • This noncoplanar state also displays crystalline superfluidity in the bosonic component.

Conclusions:

  • Interactions are key drivers for emergent quantum phenomena in this cold atom mixture.
  • The study reveals novel correlated states with potential for quantum simulation.