Abstract:Using the classical field method, we study numerically the characteristics and decay of the turbulent tangle of superfluid vortices which is created in the evolution of a Bose gas from highly nonequilibrium initial conditions. By analysing the vortex line density, the energy spectrum and the velocity correlation function, we determine that the turbulence resulting from this effective thermal quench lacks the coherent structures and the Kolmogorov scaling; these properties are typical of both ordinary classical… Show more
“…A recent work [54] has examined the properties of the turbulence following a thermal quench of a Bose gas. It found that topological defects created by the Kibble-Zurek mechanism evolve into a turbulent vortex tangle [68] which eventually decays into a vortex free state.…”
Section: Identification Of the Turbulencementioning
We investigate a procedure to generate turbulence in a trapped Bose-Einstein condensate which takes advantage of the decay of multicharged vortices. We show that the resulting singly-charged vortices twist around each other, intertwined in the shape of helical Kelvin waves, which collide and undergo vortex reconnections, creating a disordered vortex state. By examining the velocity statistics, the energy spectrum, the correlation functions and the temporal decay, and comparing these properties with the properties of ordinary turbulence and observations in superfluid helium, we conclude that this disordered vortex state can be identified with the 'Vinen' regime of turbulence which has been discovered in the context of superfluid helium. arXiv:1704.06759v1 [cond-mat.quant-gas]
“…A recent work [54] has examined the properties of the turbulence following a thermal quench of a Bose gas. It found that topological defects created by the Kibble-Zurek mechanism evolve into a turbulent vortex tangle [68] which eventually decays into a vortex free state.…”
Section: Identification Of the Turbulencementioning
We investigate a procedure to generate turbulence in a trapped Bose-Einstein condensate which takes advantage of the decay of multicharged vortices. We show that the resulting singly-charged vortices twist around each other, intertwined in the shape of helical Kelvin waves, which collide and undergo vortex reconnections, creating a disordered vortex state. By examining the velocity statistics, the energy spectrum, the correlation functions and the temporal decay, and comparing these properties with the properties of ordinary turbulence and observations in superfluid helium, we conclude that this disordered vortex state can be identified with the 'Vinen' regime of turbulence which has been discovered in the context of superfluid helium. arXiv:1704.06759v1 [cond-mat.quant-gas]
“…Physically, ultraquantum turbulence is a state of disorder without an energy cascade 42 . Recently, it has been argued that ultraquantum turbulence has also been observed in the thermal quench of a Bose gas 43 , and in small trapped atomic condensates 44 .…”
Section: Total Reflection From the Unstructured Vortex Tanglementioning
We present a combined numerical and experimental study of Andreev scattering from quantum turbulence in superfluid 3 He-B at ultralow temperatures. We simulate the evolution of moderately dense, three-dimensional, quasiclassical vortex tangles and the Andreev reflection of thermal quasiparticle excitations by these tangles. This numerical simulation enables us to generate the twodimensional map of local Andreev reflections for excitations incident on one of the faces of a cubic computational domain, and to calculate the total coefficient of Andreev reflection as a function of the vortex line density. Our numerical simulation is then compared with the experimental measurements probing quantum turbulence generated by a vibrating grid. We also address the question of whether the quasiclassical and ultraquantum regimes of quantum turbulence can be distinguished by their respective total Andreev reflectivities. We discuss the screening mechanisms which may strongly affect the total Andreev reflectivity of dense vortex tangles. Finally, we present combined numerical-experimental results for fluctuations of the Andreev reflection from a quasiclassical turbulent tangle and demonstrate that the spectral properties of the Andreev reflection reveal the nature and properties of quantum turbulence.
“…A typical scale used to study turbulence in liquid helium is the vortex line density. Its time dependence provides evidence of the mechanism behind the turbulent regime [13]. In some 4 He experiments, where visualization techniques are well-developed, the geometry and interactions of vortices can be directly observed [14].…”
Section: Introductionmentioning
confidence: 99%
“…It is inspired by the integral length scale, which is a quantity commonly used in classical turbulence. If we assume isotropic flow, then the integral length scale L E can be written in terms of the incompressible kinetic energy spectrum E(k) [13,15,16],…”
Quantum turbulence is characterized by many degrees of freedom interacting non-linearly to produce disordered states, both in space and in time. In this work, we investigate the decaying regime of quantum turbulence in a trapped Bose–Einstein condensate. We present an alternative way of exploring this phenomenon by defining and computing a characteristic length scale, which possesses relevant characteristics to study the establishment of the quantum turbulent regime. We reconstruct the three-dimensional momentum distributions with the inverse Abel transform, as we have done successfully in other works. We present our analysis with both the two- and three-dimensional momentum distributions, discussing their similarities and differences. We argue that the characteristic length allows us to intuitively visualize the time evolution of the turbulent state.
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