Measurement-based quantum lattice gas model of fluid dynamics in 2+1 dimensions

Michael M. Micci, Jeffrey Yepez

Research output: Contribution to journalArticle

Abstract

Presented are quantum simulation results using a measurement-based quantum lattice gas algorithm for Navier-Stokes fluid dynamics in 2+1 dimensions. Numerical prediction of the kinematic viscosity was measured by the decay rate of an initial sinusoidal flow profile. Due to local quantum entanglement in the quantum lattice gas, the minimum kinematic viscosity in the measurement-based quantum lattice gas is lower than achievable in a classical lattice gas. The numerically predicted viscosities precisely match the theoretical predictions obtained with a mean field approximation. Uniform flow profile with double shear layers, on a 16K×8K lattice, leads to the Kelvin-Helmholtz instability, breaking up the shear layer into pairs of counter-rotating vortices that eventually merge via vortex fusion and dissipate because of the nonzero shear viscosity.

Original languageEnglish (US)
Article number033302
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume92
Issue number3
DOIs
StatePublished - Sep 1 2015

Fingerprint

Lattice Gas Model
Lattice Gas
fluid dynamics
Fluid Dynamics
Viscosity
viscosity
gases
shear layers
Vortex
Kinematics
Kelvin-Helmholtz Instability
Quantum Entanglement
kinematics
Dissipate
Shear Viscosity
Prediction
vortices
Mean-field Approximation
uniform flow
Navier-Stokes

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

Cite this

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abstract = "Presented are quantum simulation results using a measurement-based quantum lattice gas algorithm for Navier-Stokes fluid dynamics in 2+1 dimensions. Numerical prediction of the kinematic viscosity was measured by the decay rate of an initial sinusoidal flow profile. Due to local quantum entanglement in the quantum lattice gas, the minimum kinematic viscosity in the measurement-based quantum lattice gas is lower than achievable in a classical lattice gas. The numerically predicted viscosities precisely match the theoretical predictions obtained with a mean field approximation. Uniform flow profile with double shear layers, on a 16K×8K lattice, leads to the Kelvin-Helmholtz instability, breaking up the shear layer into pairs of counter-rotating vortices that eventually merge via vortex fusion and dissipate because of the nonzero shear viscosity.",
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Measurement-based quantum lattice gas model of fluid dynamics in 2+1 dimensions. / Micci, Michael M.; Yepez, Jeffrey.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 92, No. 3, 033302, 01.09.2015.

Research output: Contribution to journalArticle

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