Static Spectroscopy of a Dense Superfluid

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• 作者：S. Villerot (1) sophie.villerot@ens-lyon.fr
  B. Castaing (1)
  L. Chevillard (1)
• 关键词：Quantum fluids and solids – ; Superfluid phase – ; Hydrodynamic aspects of superfluidity
• 刊名：Journal of Low Temperature Physics
• 出版年：2012
• 出版时间：October 2012
• 年：2012
• 卷：169
• 期：1-2
• 页码：1-14
• 全文大小：541.8 KB
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• 作者单位：1. Laboratoire de Physique de l鈥橢cole normale sup茅rieure de Lyon, CNRS, Universit茅 de Lyon, 46 all茅e d鈥橧talie, 69364 Lyon Cedex 07, France
• ISSN：1573-7357

文摘

Dense Bose superfluids, as HeII, differ from dilute ones by the existence of a roton minimum in their excitation spectrum. It is known that this roton minimum is qualitatively responsible for density oscillations close to any singularity, such as vortex cores, or close to solid boundaries. We show that the period of these oscillations, and their exponential decrease with the distance to the singularity, are fully determined by the position and the width of the roton minimum. Only an overall amplitude factor and a phase shift are shown to depend on the details of the interaction potential. Reciprocally, it allows for determining the characteristics of this roton minimum from static “observations” of a disturbed ground state, in cases where the dynamics is not easily accessible. We focus on the vortex example. Our analysis further shows why the energy of these oscillations is negligible compared to the kinetic energy, which limits their influence on the vortex dynamics, except for high curvatures.