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Related Experiment Video

Updated: May 26, 2026

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
05:39

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform

Published on: August 2, 2019

Unitary-quantum-lattice algorithm for two-dimensional quantum turbulence.

Bo Zhang1, George Vahala, Linda Vahala

  • 1Department of Physics, William & Mary, Williamsburg, Virginia 23185, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 21, 2011
PubMed
Summary

Researchers explored two-dimensional quantum turbulence (2D QT) using quantum vortex structures. Unlike classical turbulence, 2D QT did not exhibit inverse cascades in simulations.

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Generation and Coherent Control of Pulsed Quantum Frequency Combs
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Last Updated: May 26, 2026

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
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Published on: June 8, 2018

Area of Science:

  • Quantum physics
  • Condensed matter physics
  • Fluid dynamics

Background:

  • Two-dimensional quantum turbulence (2D QT) is a complex phenomenon involving quantum vortex structures.
  • Understanding its energy cascade mechanisms is crucial for fundamental physics.

Purpose of the Study:

  • To investigate quantum vortex structures and energy cascades in 2D QT at zero temperature.
  • To compare 2D QT behavior with three-dimensional (3D) QT and two-dimensional classical turbulence (2D CT).

Main Methods:

  • Simulations using a special unitary evolution algorithm, the quantum lattice algorithm.
  • Modeling Bose-Einstein condensates governed by the Gross-Pitaevskii (GP) equation.
  • Analysis of various initial conditions to identify cascade spectra.

Main Results:

  • A parameter regime was found exhibiting short Poincaré recurrence times, similar to 3D QT.
  • Stronger nonlinear interactions were shown to destroy these short recurrence times.
  • Unlike 2D CT, no dual cascade spectra were observed in the simulated 2D QT parameter regimes.

Conclusions:

  • 2D QT exhibits distinct energy cascade behavior compared to 2D CT.
  • Nonlinear interactions significantly influence recurrence times in quantum turbulence simulations.