9 May 2001 Dynamic critical phenomena in trapped Bose gases
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Nonlinear dynamics of a trapped Bose-Einstein condensate, subject to the action of a resonant external field, is studied. This field produces a spatio-temporal modulation of the trapping potential with the frequency close to the transition frequency between the ground state and a higher energy level. The evolution equations of fractional populations display a kind of critical phenomena at a critical line on the manifold of the system parameters. It is demonstrated that there exists a direct analogy between dynamical instability at this line and critical phenomena at a critical line of a related averaged system.
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V. I. Yukalov, V. I. Yukalov, E. P. Yukalova, E. P. Yukalova, Vanderlei Salvador Bagnato, Vanderlei Salvador Bagnato, } "Dynamic critical phenomena in trapped Bose gases", Proc. SPIE 4243, Saratov Fall Meeting 2000: Laser Physics and Photonics; and Spectroscopy and Molecular Modeling, (9 May 2001); doi: 10.1117/12.426688; https://doi.org/10.1117/12.426688


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