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Journal of research of the National Bureau of Standards. Section A, Physics and chemistry·2021

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Scanning SQUID Study of Vortex Manipulation by Local Contact

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Vortex Motions in Ideal Bose Superfluid.

Martin J Cooper¹

¹Institute for Basic Standards, National Bureau of Standards, Washington, D.C. 20234.

Journal of Research of the National Bureau of Standards. Section A, Physics and Chemistry

|January 14, 2020

Summary

An ideal coherent Bose gas exhibits stable quantized vortex motions, suggesting it models superfluid liquid helium. This noninteracting system

Area of Science:

Condensed Matter Physics
Quantum Fluids

Background:

Superfluidity in Bose gases is a key quantum phenomenon.
Understanding the behavior of ideal Bose gases is crucial for fluid dynamics.

Purpose of the Study:

Derive a nonlinear field equation for the order parameter of an ideal coherent Bose gas.
Investigate the possibility of stable quantized vortex-like motions in such systems.
Relate the findings to the physical properties of superfluid liquid helium.

Main Methods:

Derivation of a general nonlinear field equation.
Analysis of the stability of vortex-like solutions within the superfluid phase.

Main Results:

A nonlinear field equation for the macroscopic order parameter was successfully derived.

Keywords:

Coherent Bose gas superfluid vortices

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Stable quantized vortex-like motions were demonstrated to exist in the noninteracting Bose gas.

The coherent phase of the ideal Bose gas was shown to capture essential features of superfluid helium.

Conclusions:

The ideal coherent Bose gas provides a theoretical framework for understanding superfluidity.
Quantized vortex motion is a fundamental property not exclusive to interacting systems.
This model offers insights into the behavior of real superfluid systems like liquid helium.