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 language | English (US) |
|---|---|
| Article number | 033302 |
| Journal | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics |
| Volume | 92 |
| Issue number | 3 |
| DOIs | |
| State | Published - Sep 1 2015 |
Fingerprint
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Statistics and Probability
- Condensed Matter Physics
Cite this
}
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 journal › Article
TY - JOUR
T1 - Measurement-based quantum lattice gas model of fluid dynamics in 2+1 dimensions
AU - Micci, Michael M.
AU - Yepez, Jeffrey
PY - 2015/9/1
Y1 - 2015/9/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84942354090&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84942354090&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.92.033302
DO - 10.1103/PhysRevE.92.033302
M3 - Article
C2 - 26465581
AN - SCOPUS:84942354090
VL - 92
JO - Physical Review E
JF - Physical Review E
SN - 2470-0045
IS - 3
M1 - 033302
ER -