Kelvin-Tkachenko waves of few-vortex arrays in trapped Bose-Einstein condensates
T.P. Simula, K. Machida
TL;DR
This paper investigates the elementary excitations of small vortex arrays in trapped Bose-Einstein condensates, revealing vortex wave modes and their potential for experimental observation related to quantum turbulence.
Contribution
It introduces a calculation of Kelvin-Tkachenko vortex wave branches in few-vortex BECs, linking vortex dynamics to observable excitations.
Findings
Number of vortex wave branches equals number of vortices
Lowest odd-parity modes show superfluid gyroscopic motion
Potential for experimental excitation and observation of these modes
Abstract
We have calculated the low-lying elementary excitations of three-dimensional few-vortex arrays in trapped Bose-Einstein condensates. The number of different Kelvin-Tkachenko vortex wave branches matches the number of vortices in the condensate. The lowest odd-parity modes exhibit superfluid gyroscopic vortex motion. Experimentally, these modes could be excited and observed individually or in connection with the formation and decay of quantum turbulence.
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