Sound propagation in a cylindrical Bose-condensed gas
E. Zaremba (Queen's U., Canada)
TL;DR
This paper investigates the normal modes of a cylindrical Bose-Einstein condensate at zero temperature, revealing that pulses propagate with minimal spread at a specific speed related to the condensate's density and interaction strength.
Contribution
It provides a theoretical analysis of pulse propagation in cylindrical Bose condensates using the Gross-Pitaevskii equation, connecting mode behavior to experimental observations.
Findings
Pulses propagate with little spread at speed c = sqrt(g * n̄ / m)
Normal modes are characterized in the Thomas-Fermi limit
Theoretical results align with recent experimental pulse observations
Abstract
We study the normal modes of a cylindrical Bose condensate at using the linearized time-dependent Gross-Pitaevskii equation in the Thomas-Fermi limit. These modes are relevant to the recent observation of pulse propagation in long, cigar-shaped traps. We find that pulses generated in a cylindrical condensate propagate with little spread at a speed , where is the average density of the condensate over its cross-sectional area.
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