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
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.
منابع مشابه
ar X iv : c on d - m at / 9 70 52 40 v 2 2 J ul 1 99 7 Collective and single - particle excitations of a trapped Bose gas
The density of states of a Bose-condensed gas confined in a harmonic trap is investigated. The predictions of Bogoliubov theory are compared with the ones of Hartree-Fock theory and of the hydrodynamic model. We show that the Hartree-Fock scheme provides an excellent description of the excitation spectrum in a wide range of energy, revealing a major role played by single-particle excitations in...
متن کاملar X iv : c on d - m at / 9 70 52 40 v 1 2 3 M ay 1 99 7 Collective and single particle excitations of a trapped Bose gas
The density of states of a Bose-condensed gas confined in a harmonic trap is investigated. The predictions of Bogoliubov theory are compared with the ones of Hartree-Fock theory and of the hydrodynamic model. We show that the Hartree-Fock scheme provides an excellent description of the excitation spectrum in a wide range of energy, revealing a major role played by single-particle excitations in...
متن کاملar X iv : c on d - m at / 9 70 50 47 06 M ay 1 99 7 Far From Equilibrium Dynamics of the Bose Gas
متن کامل
ar X iv : c on d - m at / 9 60 51 19 v 1 2 0 M ay 1 99 6 Dynamics of Collapse of a Confined Bose Gas
Rigorous results on the nonlinear dynamics of a dilute Bose gas with a negative scattering length in an harmonic magnetic trap are presented and sufficient conditions for the collapse of the system are formulated. By using the virial theorem for the Gross-Pitaevskii equation in an external field we analyze the temporal evolution of the mean square radius I = r 2 | ψ | 2 dV of the gas cloud. In ...
متن کاملar X iv : c on d - m at / 9 70 40 14 v 1 2 A pr 1 99 7 Thermodynamics of a trapped Bose - condensed gas
We investigate the thermodynamic behaviour of a Bose gas interacting with repulsive forces and confined in a harmonic anisotropic trap. We develop the formalism of mean field theory for non uniform systems at finite temperature, based on the generalization of Bogoliubov theory for uniform gases. By employing the WKB semiclassical approximation for the excited states we derive systematic results...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1997