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Quantum turbulence in the many-body regime
Sayak Bhattacharjee1, Mahendra K Verma2,3, Alexander V Balatsky4,5
1Leinweber Institute for Theoretical Physics, Stanford University , Stanford, CA 94305, USA.
This study explores turbulent hydrodynamics in quantum fluids, focusing on many-body quantum effects near absolute zero. Researchers investigate quantum fluctuations beyond mean-field theory in systems like ultracold atoms.
Area of Science:
- Condensed matter physics
- Quantum hydrodynamics
- Turbulence
Background:
- Superfluids are often described by mean-field theory using the Gross-Pitaevskii (GP) equation.
- Quantum fluctuations beyond mean-field theory are crucial for understanding turbulent hydrodynamics in quantum fluids.
Purpose of the Study:
- To investigate many-body quantum effects in turbulent hydrodynamics, particularly at near-zero temperatures.
- To identify quantum many-body systems exhibiting these effects.
Main Methods:
- Analysis of weakly interacting superfluids using mean-field theory (Gross-Pitaevskii equation).
- Incorporation of quantum fluctuations beyond the mean-field approximation.
- Identification of relevant quantum many-body systems.
Main Results:
- Proposed study of many-body quantum effects in turbulent hydrodynamics.
- Identified specific systems like low-dimensional bosons in periodic potentials.
- Highlighted the superfluid-insulator quantum critical point.
Conclusions:
- Modern quantum many-body techniques can address open questions in quantum fluid turbulence.
- Ultracold-atom and quantum computing platforms are suitable for realizing these studies.
- The research contributes to understanding frontiers of turbulence and statistical physics.
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