16 April 2010 Poincare recurrence and intermittent destruction of the quantum Kelvin wave cascade in quantum turbulence
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Abstract
A quantum lattice gas algorithm, based on interleaved unitary collide-stream operators, is used to study quantum turbulence of the ground state wave function of a Bose-Einstein condensate (BEC). The Gross-Pitaevskii equation is a Hamiltonian system for a compressible, inviscid quantum fluid. From simulations on a 57603 grid it was observed that a multi-cascade existed for the incompressible kinetic energy spectrum with universal features: the large spatial scales exhibit a classical Kolmogorov k -5/3 spectrum while the very small scales exhibit a quantum Kelvin wave cascade k-3 spectrum. Under certain conditions one can explicitly determine the Poincare recurrence of initial conditions as well as the intermittent destruction of the Kelvin wave cascade.
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George Vahala, George Vahala, Jeffrey Yepez, Jeffrey Yepez, Linda Vahala, Linda Vahala, Min Soe, Min Soe, Sean Ziegeler, Sean Ziegeler, } "Poincare recurrence and intermittent destruction of the quantum Kelvin wave cascade in quantum turbulence", Proc. SPIE 7702, Quantum Information and Computation VIII, 770207 (16 April 2010); doi: 10.1117/12.850576; https://doi.org/10.1117/12.850576
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