Dynamics of excitations in a one-dimensional Bose liquid

ORAL

Abstract

We studied the dynamical structure factor $S(q,\omega)$ of interacting bosons in one-dimension. The sharp resonant peak $S(q,\omega) \propto \delta(\omega - \epsilon(q))$ as predicted by the Bogolubov theory is transformed into a power law singularity, $S(q,\omega) \propto (\omega - \epsilon(q))^{-\mu(q)}$ due to the strong quantum fluctuations. The corresponding momentum dependent exponent $\mu(q)$ is evaluated using the Lieb-Liniger model. The full momentum dependence $\mu(q)$ has been found in the strongly interaction regime using the Fermi Bose mapping. For the large momentum $q$ the different method allows us to express the exponent through the Luttinger liquid parameters. The two results agree in their common region of applicability.

*Research in University of Minnesota is support by DOE (Grant No. DE-FG02-06ER46310) and A. P. Sloan Foundation. Research in Georgia Tech is supported by NSF (Grant No. DMR-0604107).

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Authors

  • Maxim Khodas

    • School of Physics and Astronomy, University of Minnesota, Minneapolis, Minnesota 55455, USA
    • University of Minnesota

  • Michael Pustilnik

    • School of Physics, Georgia Institute of Technology, Atlanta, Georgia 30332, USA

  • Alex Kamenev

    • University of Minnesota
    • School of Physics and Astronomy, University of Minnesota, Minneapolis, Minnesota 55455, USA

  • Leonid I. Glazman

    • Department of Physics, Yale University, New Haven, Connecticut, USA, 06520