Phenomenological Theory of Mode Collapse-revival in Confined Bose Gas

Abstract

A phenomenological theory of mode collapse-revival for a system with a weak nonlinearity is presented. The theory takes into account fluctuations of the number n of quanta of oscillations. The collapse time ${\tau }_c^{-1}$ for a mode of frequency ${\omega }_0$ turns out to be ${\omega }_0(\sqrt{n/2}\hslash {\omega }_0\mid \nu \mid )$, where νis a coefficient in a nonlinear correction to the mode frequency with respect to the oscillation energy E. For a Bose gas in a harmonic trap ${\tau }_c$ is order of ${\omega }_0^{-1}\sqrt{\mu N/E\hslash {\omega }_0}$. This value is order of 250 ms. for typical experimental conditions. The coefficient νis calculated for the breathing mode in an isotropic trap.

9 pages, REVTEX

References in corpus (1)

• Nonlinear Dynamics of a Bose Condensed Gas

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