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Trapping of Micro Particles in Nanoplasmonic Optical Lattice
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Optical Lattice with Torus Topology.

Hwanmun Kim1,2, Guanyu Zhu1, J V Porto1

  • 1Joint Quantum Institute, NIST/University of Maryland, College Park, Maryland 20742, USA.

Physical Review Letters
|October 13, 2018
PubMed
Summary

We demonstrate a novel method to create atom-trapping optical lattices on torus surfaces. This enables the study of topological physics, including fractional quantum Hall states, in unique geometries.

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Area of Science:

  • Quantum physics
  • Atomic physics
  • Condensed matter physics

Background:

  • Topological states of matter exhibit unique properties governed by their geometry.
  • Realizing complex topological structures in experimental settings is challenging.
  • Optical lattices offer a versatile platform for simulating quantum phenomena.

Purpose of the Study:

  • To propose and theoretically validate an experimental scheme for constructing a toroidal optical lattice.
  • To investigate the impact of topology on atomic dynamics and quantum states within this lattice.
  • To explore the potential for realizing and detecting topological phenomena like fractional quantum Hall states.

Main Methods:

  • Spatially shaped laser beams for atom confinement on a torus surface.
  • Numerical calculation of atomic tunneling strengths in the toroidal lattice.
  • Analysis of quantized superfluid currents and fractional quantum Hall states.
  • Investigation of topological degeneracy robustness and detection methods.

Main Results:

  • Feasibility of constructing a toroidal optical lattice using advanced laser shaping and imaging.
  • Demonstration of nontrivial topological effects on atomic superfluid currents.
  • Numerical evidence for fractional quantum Hall states on the torus.
  • Identification of a method to experimentally detect topological degeneracy.

Conclusions:

  • The proposed toroidal optical lattice is experimentally feasible and provides a new platform for topological quantum physics.
  • This work highlights the crucial role of topology in controlling quantum states and dynamics.
  • The scheme can be extended to higher-genus surfaces, opening avenues for exploring more complex topological physics.