- Photon Transport in a Bose-Hubbard Chain of Superconducting Artificial Atoms

G. P. Fedorov et al., Phys. Rev. Lett.**126**, 180503 (2021) - Path-Dependent Supercooling of the
He3 Superfluid A-B Transition

Dmytro Lotnyk et al., Phys. Rev. Lett.**126**, 215301 (2021) - Superconductivity in an extreme strange metal

D. H. Nguyen et al., Nat Commun**12**, 4341 (2021) - High-Q Silicon Nitride Drum Resonators Strongly Coupled to Gates

Xin Zhou et al., Nano Lett.**21**, 5738-5744 (2021) - Measurement of the
^{229}Th isomer energy with a magnetic micro-calorimeter

T. Sikorsky et al., Phys. Rev. Lett.**125**(2020) 142503

## Interaction of Kelvin waves and non-locality of the energy transfer in superfluids

*Jason Laurie, Victor S. L’vov, Sergey Nazarenko and Oleksii Rudenko*

We argue that the physics of interacting Kelvin Waves (KWs) is highly nontrivial and cannot be understood on the basis of pure dimensional reasoning. A consistent theory of KW turbulence in superfluids should be based upon explicit knowledge of their interactions. To achieve this, we present a detailed calculation and comprehensive analysis of the interaction coefficients for KW turbuelence, thereby, resolving previous mistakes stemming from unaccounted contributions. As a first application of this analysis, we derive a *local nonlinear* (partial differential) *equation*. This equation is much simpler for analysis and numerical simulations of KWs than the Biot-Savart equation, and in contrast to the completely integrable local induction approximation (in which the energy exchange between KWs is absent), describes the nonlinear dynamics of KWs. Second, we show that the previously suggested Kozik-Svistunov energy spectrum for KWs, which has often been used in the analysis of experimental and numerical data in superfluid turbulence, is irrelevant, because it is based upon an erroneous assumption of the locality of the energy transfer through scales. Moreover, we demonstrate the weak nonlocality of the inverse cascade spectrum with a constant particle-number flux and find resulting logarithmic corrections to this spectrum.

*Phys. Rev. B*

**81**, 104526 (2010)doi:

*10.1103/PhysRevB.81.104526*