ar X iv : c on d - m at / 9 70 10 04 v 1 2 J an 1 99 7 Phenomenological theory of mode collapse - revival in confined Bose gas

نویسنده

  • L. P. Pitaevskii
چکیده

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 τ −1 c for a mode of frequency ω 0 turns out to be ω 0 (n/2¯ hω 0 | ν |), where ν is 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 τ c is order of ω −1 0 µN/E¯ hω 0. This value is order of 250 ms. for typical experimental conditions. The coefficient ν is calculated for the breathing mode in an isotropic trap.

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تاریخ انتشار 1997