CE30 - Physique de la matière condensée et de la matière diluée

LAGRANGIAN PROPERTIES AND UNIVERSALITY OF QUANTUM TURBULENCE. – GIANTE

LaGrangian propertIes and universAlity of quaNtum turbulencE

Particles are today the main tool for studying superfluid vortex dynamics. Such particles are trapped by quantum vortices and can be visualised for studying the dynamics of vortices.<br /><br />This project aims at understanding the interaction between particles and superfluid vortices, unveiling unknown properties of quantum turbulence.

Main goals of the project

Hydrodynamic turbulence is considered as a prototype of systems far from equilibrium. Its phenomenological description relies on Richardson and Kolmogorov’s idea that energy cascades through scales. In many complex flows, Kolmogorov turbulence appears to be valid within a reduced range of scales. Out of this range, energy is carried along scales thanks to different physical processes like the interaction of coherent structures and non-linear waves. This is the case of quantum turbulence, which is observed in superfluids like 3He and 4He, Bose-Einstein condensates (BEC) made of dilute alkaline gases and even recently in optical non-linear systems with the so-called quantum fluids of light. <br /><br />Quantum turbulence is a non-equilibrium phenomenon that involves processes with a large spatial and temporal scale separation. The most manifest quantum effect in superfluid turbulence is the presence of quantum vortices, whose circulation is quantised. <br /><br />During the last decade, thanks to the development of new experimental technics, quantum vortices have been successfully visualised in superfluids. It is now possible to study vortex dynamics in BEC and superfluid helium. Using particles to sample the flow, the differences between classical and quantum turbulence have been enlightened. However, despite this progress, experimental techniques are not yet able to simultaneously sample and excite all the scales of quantum turbulence. Many fundamental questions are still open in this kind of system. <br /><br />The goal of this proposal is to study the dynamics of particles in superfluids and their interaction with vortices mainly focussing on the physical phenomena laying at the crossover between classical and quantum regimes. It brings standard tools used in the theoretical description of classical turbulence to the quantum case.

This proposal borrows tools from statistical mechanics and non-linear physics while using state-of-the-art techniques in computational fluid dynamics. To that extent simulations of the Gross-Pitaevskii model and the Hall-Vinen-Bekharavich-Khalatinikov model, are being performed. The dynamics of particles is also integrated into those models. In particular, this proposal aims at determining how well particles sample superfluid vortices and how important is their interaction with the flow. It does not focus on only one type of superfluid system but rather aims at unveiling the universal aspects of quantum turbulence.

Using different models we have successfully understood how particles interact with superfluid vortices and how well they can be used for experimental purposes.

For instance, we have shown that an interesting mathematical analogy between particles trapped in quantum vortices and solid-state physics can be built.

The complementary use of state-of-the-art numerical simulations and innovative theoretical approaches is the main achievement of the team.

We hope to develop a profound understanding of quantum turbulence, addressing issues from fundamental questions of superfluids, such as the intermittency of quantum turbulence, to problems with important implications in the industrial world as the dynamics of superfluids in confined domains.

1. Interaction between active particles and quantum vortices leading to Kelvin wave generation. Umberto Giuriato et Giorgio Krstulovic. Scientific Reports volume 9, Article number: 4839 (2019). www.nature.com/articles/s41598-019-39877-w
2. Quantitative estimation of effective viscosity in quantum turbulence. Vishwanath Shukla, Pablo D. Mininni, Giorgio Krstulovic, Patricio Clark di Leoni, and Marc E. Brachet. Phys. Rev. A 99, 043605 (2020). journals.aps.org/pra/abstract/10.1103/PhysRevA.99.043605
3. Clustering and phase transitions in a 2D superfluid with immiscible active impurities. Umberto Giuriato, Giorgio Krstulovic1 etDavide Proment. Journal of Physics A: Mathematical and Theoretical, Volume 52, Number 30 (2019). iopscience.iop.org/article/10.1088/1751-8121/ab2607
4. Inhomogeneous distribution of particles in coflow and counterflow quantum turbulence. Juan Ignacio Polanco and Giorgio Krstulovic. Phys. Rev. Fluids 5, 032601(R) (2020). journals.aps.org/prfluids/abstract/10.1103/PhysRevFluids.5.032601
5. How trapped particles interact with and sample superfluid vortex excitations. Umberto Giuriato, Giorgio Krstulovic, and Sergey Nazarenko. Phys. Rev. Research 2, 023149 (2020). journals.aps.org/prresearch/abstract/10.1103/PhysRevResearch.2.023149
6. Active and finite-size particles in decaying quantum turbulence at low temperature. Umberto Giuriato and Giorgio Krstulovic Phys. Rev. Fluids 5, 054608 (2020). journals.aps.org/prfluids/abstract/10.1103/PhysRevFluids.5.054608
7. A New Self-Consistent Approach of Quantum Turbulence in Superfluid Helium. Luca Galantucci, Andrew W. Baggaley, Carlo F. Barenghi, Giorgio Krstulovic. European Physics Plus, Eur. Phys. J. Plus (2020) 135:547.

Hydrodynamic turbulence is considered as a prototype of systems far from equilibrium. Its phenomenological description relies on Richardson and Kolmogorov’s idea that energy cascades through scales. In many complex flows, Kolmogorov turbulence appears to be valid within a reduced range of scales. Out of this range, energy is carried along scales thanks to different physical processes like the interaction of coherent structures and non-linear waves. This is the case of quantum turbulence, that is observed in superfluids like 3He and 4He, Bose-Einstein condensates (BEC) made of dilute alkaline gases and even in optical non-linear systems with the so-called quantum fluids of light. Quantum turbulence is a non-equilibrium phenomenon that involves processes with a large spatial and temporal scale separation. The most manifest quantum effect in superfluid turbulence is the presence of quantum vortices, whose circulation is quantised.

During the last decade, thanks to the development of new experimental technics, quantum vortices have been successfully visualised in superfluids. It is now possible to study vortex dynamics in BEC and superfluid helium. Using particles to sample the flow, the differences between classical and quantum turbulence have been enlightened. However, despite this progress, experimental techniques are not yet able to simultaneously sample and excite all the scales of quantum turbulence. Many fundamental questions are still open in this kind of systems.

The goal of this proposal is to study the dynamics of particles in superfluids and their interaction with vortices mainly focussing on the physical phenomena laying at the crossover between classical and quantum regimes. It brings standard tools used in the theoretical description of classical turbulence to the quantum case. For that purpose, it borrows tools from statistical mechanics and non-linear physics while using state-of-the-art techniques in computational fluid dynamics. To that extent simulations of the Gross-Pitaevskii model and the Hall-Vinen-Bekharavich-Khalatinikov model, will be performed. The dynamics of particles will be also integrated in those models. In particular, this proposal aims at determining how well particles sample superfluid vortices and how important is their interaction with the flow. It does not focus in only one type of superfluid system but rather aims at unveiling the universal aspects of quantum turbulence.

The team is composed of experts on classical hydrodynamic and quantum turbulence, with strong knowledge on computational and theoretical tools for fluid dynamics. Their different skills ensure a good synergy in the team.

This project is timely because of the different experiments carried in Europe and US with superfluid Helium, atomic BECs and quantum fluids of light. The expected theoretical and numerical results will improve the understanding of recent experiments.

Project coordinator

Monsieur Giorgio Krstulovic (Laboratoire J-L. Lagrange (OCA/CNRS/UNS))

The author of this summary is the project coordinator, who is responsible for the content of this summary. The ANR declines any responsibility as for its contents.

Partner

LAGRANGE (OCA/CNRS/UNS) Laboratoire J-L. Lagrange (OCA/CNRS/UNS)

Help of the ANR 286,470 euros
Beginning and duration of the scientific project: December 2018 - 48 Months

Useful links

Explorez notre base de projets financés

 

 

ANR makes available its datasets on funded projects, click here to find more.

Sign up for the latest news:
Subscribe to our newsletter