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Open Quantum Systems Decoherence

Quantum wave representation of dissipative fluids

arXiv
Authors: L. Salasnich, S. Succi, A. Tiribocchi

Year

2023

Paper ID

55886

Status

Preprint

Abstract Read

~2 min

Abstract Words

97

Citations

N/A

Abstract

We present a mapping between a Schrödinger equation with a shifted non-linear potential and the Navier-Stokes equation. Following a generalization of the Madelung transformations, we show that the inclusion of the Bohm quantum potential plus the laplacian of the phase field in the non-linear term leads to continuity and momentum equations for a dissipative incompressible Navier-Stokes fluid. An alternative solution, built using a complex quantum diffusion, is also discussed. The present models may capture dissipative effects in quantum fluids, such as Bose-Einstein condensates, as well as facilitate the formulation of quantum algorithms for classical dissipative fluids.

Why This Paper Matters

  • This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
  • It adds a 2023 reference point for readers tracking recent quantum research.
  • We present a mapping between a Schrödinger equation with a shifted non-linear potential and the Navier-Stokes equation.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2308.05879 [2] arXiv https://arxiv.org/abs/2308.05879 [3] Publisher https://arxiv.org/abs/2308.05879

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