Atomic Theory of the Two-fluid Model: Broken Gauge Symmetry in Bose-Einstein condensation

dc.creatorHan, S. J.
dc.date2005-09-14
dc.date.accessioned2026-07-07T03:06:36Z
dc.date.available2026-07-07T03:06:36Z
dc.descriptionWe discuss the collective excitations in a spatially inhomogeneous (cylindrically symmetric) Bose-Einstein condensation (BEC) at low temperature ($T \ll T_λ$). The main result is the dispersion relation for a (first) sound wave that is obtained by describing the perturbation as a Lagrangian coordinate. The dispersion curve is in good agreement with the Bogoliubov phonon spectrum $ω=c k$, where $k=k_θ=m/r$, the wave number and $c=[4 πa ρ\hbar^{2}]^{1/2}/M$, the speed of first sound. Based on Bohm's quantum theory, a spontaneously broken gauge symmetry in a quantum fluid is discussed in terms of the quantum fluctuation-dissipation, from which it is shown that the symmetry breaking takes place at the free surface of BEC in an external field.
dc.description20 pages plus one figure
dc.identifierhttps://arxiv.org/abs/cond-mat/0509350
dc.identifierhttp://arxiv.org/abs/cond-mat/0509350
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/26872
dc.subjectOther Condensed Matter
dc.subjectStatistical Mechanics
dc.titleAtomic Theory of the Two-fluid Model: Broken Gauge Symmetry in Bose-Einstein condensation
dc.typetext

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