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Fractional angular momentum in cold-atom systems.

Yuhe Zhang1, G J Sreejith2, N D Gemelke1

  • 1Department of Physics, 104 Davey Lab, Pennsylvania State University, University Park, Pennsylvania 16802, USA.

Physical Review Letters
|November 1, 2014
PubMed
Summary
This summary is machine-generated.

We theoretically demonstrate that particles in a fractional quantum Hall state exhibit fractional relative angular momentum, indicating fractional braid statistics. This can be measured in ultracold atomic systems, revealing fractional particle numbers and effective magnetic fields.

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Area of Science:

  • Quantum physics
  • Condensed matter physics
  • Atomic physics

Background:

  • Quantum statistics for bosons and fermions are determined by even or odd relative angular momentum.
  • Fractional quantum Hall states exhibit exotic properties like fractional charge.

Purpose of the Study:

  • To theoretically show fractional relative angular momentum for particles in a fractional quantum Hall state.
  • To propose experimental detection of this phenomenon and related effects.

Main Methods:

  • Theoretical analysis of particle pairs in fractional quantum Hall states.
  • Proposing measurement of pair correlation functions in rotating ultracold atomic systems.

Main Results:

  • Demonstrated effective fractional relative angular momentum for particle pairs.
  • Interpreted fractional angular momentum in terms of fractional braid statistics.
  • Linked measurements to Berry phases, effective magnetic fields, and fractional particle numbers.

Conclusions:

  • Fractional angular momentum is a key characteristic of particles in fractional quantum Hall states.
  • Experimental detection is feasible using ultracold atomic systems.
  • This provides evidence for fractional particle statistics and emergent phenomena.