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Quantum Hamilton-Jacobi Equation and Broken Symmetry in Hydrodynamics of Liquid Helium II

S. J. Han
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Abstract

Based on the quantum theory of Bohm and the phase coherence along with the mean field of Penrose and Onsager, it is shown that a free surface of He II behaves like a classical fluid. The broken symmetry of a macroscopic Bose system at the free surface in an external field is discussed in terms of the quantum fluctuations-dissipation. First, we apply this peculiarly universal behavior to explain a breakdown of superfluidity at a vortex core. Secondly, we resolve a long standing puzzle with Landau's two-fluid model on a free surface of a rotating He II in a gravitational field.

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S. J. Han. 2005-09-11. Quantum Hamilton-Jacobi Equation and Broken Symmetry in Hydrodynamics of Liquid Helium II. https://arxiv.org/abs/cond-mat/0505373

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