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Particles and fields in superfluids: Insights from the two-dimensional Gross-Pitaevskii equation

Shukla, Vishwanath and Pandit, Rahul and Brachet, Marc (2018) Particles and fields in superfluids: Insights from the two-dimensional Gross-Pitaevskii equation. In: PHYSICAL REVIEW A, 97 (1).

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Official URL: http://dx.doi.org/10.1103/PhysRevA.97.013627

Abstract

We carry out extensive direct numerical simulations to investigate the interaction of active particles and fields in the two-dimensional Gross-Pitaevskii superfluid, in both simple and turbulent flows. The particles are active in the sense that they affect the superfluid even as they are affected by it. We tune the mass of the particles, which is an important control parameter. At the one-particle level, we show how light, neutral, and heavy particles move in the superfluid, when a constant external force acts on them; in particular, beyond a critical velocity, at which a vortex-antivortex pair is emitted, particle motion can be periodic or chaotic. We demonstrate that the interaction of a particle with vortices leads to dynamics that depends sensitively on the particle characteristics. We also demonstrate that assemblies of particles and vortices can have rich, and often turbulent, spatiotemporal evolution. In particular, we consider the dynamics of the following illustrative initial configurations: (a) one particle placed in front of a translating vortex-antivortex pair; (b) two particles placed in front of a translating vortex-antivortex pair; (c) a single particle moving in the presence of counter-rotating vortex clusters; (d) four particles in the presence of counter-rotating vortex clusters. We compare our work with earlier studies and examine its implications for recent experimental studies in superfluid helium and Bose-Einstein condensates.

Item Type: Journal Article
Additional Information: Copy right for this article belong to the AMER PHYSICAL SOC, ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA
Department/Centre: Division of Physical & Mathematical Sciences > Physics
Depositing User: Id for Latest eprints
Date Deposited: 02 Mar 2018 15:04
Last Modified: 02 Mar 2018 15:04
URI: http://eprints.iisc.ac.in/id/eprint/58951

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