On the stability of standing matter waves in a trap
A.E. Muryshev, H.B. van Linden van den Heuvell, G.V. Shlyapnikov
TL;DR
This paper investigates the stability conditions of standing matter waves in a cylindrical trap, identifying the necessary confinement strength and addressing thermodynamic instability issues.
Contribution
It provides a criterion for the dynamical stability of kink-like Bose-condensed states in cylindrical traps, linking stability to radial confinement strength.
Findings
Dynamical stability requires radial frequency larger than mean-field interaction
Identifies conditions for thermodynamic instability due to negative energy excitations
Analyzes excited Bose-condensed states in cylindrical traps
Abstract
We discuss excited Bose-condensed states and find the criterion of dynamical stability of a kink-wise state, i.e., a standing matter wave with one nodal plane perpendicular to the axis of a cylindrical trap. The dynamical stability requires a strong radial confinement corresponding to the radial frequency larger than the mean-field interparticle interaction. We address the question of thermodynamic instability related to the presence of excitations with negative energy.
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