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Dynamical Simulation of Sound Propagation in a Highly Elongated Trapped Bose Gas at Finite Temperatures

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Abstract

We study sound propagation in a Bose-condensed gas confined in a highly elongated harmonic trap at finite temperatures. Our analysis is based on Zaremba-Nikuni-Griffin (ZNG) formalism, which consists of Gross-Pitaevskii equation for the condensate and the kinetic equation for a thermal cloud. We extend ZNG formalism to deal with a highly-anisotropic trap potential, and use it to simulate sound propagation in the two fluid hydrodynamic regime. We use the trap parameters for the experiment that has reported second sound propagation. Our simulation results show that propagation of two sound pulses corresponding to first and second sound can be observed in an intermediate temperature.

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Acknowledgements

We thank A. Griffin for valuable comments. E.A. is supported by a Grant-in-Aid from JSPS.

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Authors and Affiliations

  1. Department of Basic Science, The University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo, 153-8902, Japan

    E. Arahata

  2. Department Physics, Faculty of Science, Tokyo University of Science, 1-3 Kagurazaka, Shinjuku-ku, Tokyo, 162-8601, Japan

    T. Nikuni

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  1. E. Arahata
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  2. T. Nikuni
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Correspondence to E. Arahata.

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Arahata, E., Nikuni, T. Dynamical Simulation of Sound Propagation in a Highly Elongated Trapped Bose Gas at Finite Temperatures. J Low Temp Phys 171, 369–375 (2013). https://doi.org/10.1007/s10909-012-0829-7

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  • DOI: https://doi.org/10.1007/s10909-012-0829-7

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