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Correlative Light- and Electron Microscopy Using Quantum Dot Nanoparticles

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Quantum Turbulent Structure in Light.

Samuel N Alperin¹, Abigail L Grotelueschen¹, Mark E Siemens¹

¹Department of Physics & Astronomy, University of Denver, Denver, Colorado 80210, USA.

Physical Review Letters

|February 16, 2019

Summary

This summary is machine-generated.

Vortex lines in random plane waves reveal an emergent timelike axis, enabling useful velocity definitions. Their statistics mirror turbulent quantum fluids, suggesting universal quantum chaos principles.

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Area of Science:

Quantum physics
Fluid dynamics
Wave phenomena

Background:

Superpositions of random plane waves contain complex vortex line singularities with strict topological rules.
Understanding the dynamics and statistics of these vortex structures is crucial for quantum turbulence research.

Purpose of the Study:

To investigate the emergent properties of vortex line singularities in infinite superpositions of random plane waves.
To define and analyze vortex velocities within these structures.
To compare the statistics of these velocities with those of turbulent quantum fluids.

Main Methods:

Numerical simulations of wave superpositions.
Optical experiments to observe vortex structures.
Statistical analysis of defined vortex velocities.

Main Results:

An emergent timelike axis was identified within the vortex structures.
Vortex velocities could be usefully defined using this timelike axis.
The statistics of these vortex velocities closely match those observed in turbulent quantum fluids, including superfluid helium and atomic Bose-Einstein condensates.
These velocity statistics were found to be independent of system scale.

Conclusions:

The emergence of a timelike axis and the observed velocity statistics suggest a deep connection between quantum chaos and turbulence.
Nonlinearity plays a significant role in shaping the structure of turbulence in quantum systems.
These findings prompt further investigation into the general nature of quantum chaos and turbulence.