Visualization of dimensional effects in collective excitations of optically trapped quasi-two-dimensional Bose gases |
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Authors: | Hu Ying Liang Zhaoxin |
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Affiliation: | International Center for Quantum Materials, Peking University, Beijing, 100871, China. yinggrant@gmail.com |
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Abstract: | In quasi-two dimensions (quasi-2D), where excitations are frozen in one direction, the scattering amplitudes exhibit 2D features of the particle motion and a 3D to 2D dimensional crossover emerges in the behavior of scattering. We explore its physical consequences, capitalizing on a hidden connection between the Pitaevskii-Rosch dynamical symmetry and breathing modes. We find broken Pitaevskii-Rosch symmetry by arbitrarily small 2D effects, inducing a frequency shift in breathing modes. The predicted shift rises significantly from the order of 0.5% to more than 5% in transiting from the 3D-scattering to the 2D-scattering regime. Comparisons with other relevant effects suggest our results are observable within current experimental capabilities. |
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