Confinement induced resonances in anharmonic waveguides

Preprint English OPEN
Peng, Shi-Guo ; Hu, Hui ; Liu, Xia-Ji ; Drummond, Peter D. (2011)

We develop the theory of anharmonic confinement-induced resonances (ACIR). These are caused by anharmonic excitation of the transverse motion of the center of mass (COM) of two bound atoms in a waveguide. As the transverse confinement becomes anisotropic, we find that the COM resonant solutions split for a quasi-1D system, in agreement with recent experiments. This is not found in harmonic confinement theories. A new resonance appears for repulsive couplings ($a_{3D}>0$) for a quasi-2D system, which is also not seen with harmonic confinement. After inclusion of anharmonic energy corrections within perturbation theory, we find that these ACIR resonances agree extremely well with anomalous 1D and 2D confinement induced resonance positions observed in recent experiments. Multiple even and odd order transverse ACIR resonances are identified in experimental data, including up to N=4 transverse COM quantum numbers.
  • References (35)
    35 references, page 1 of 4

    1.4 a (units of 1000a0) [2] E. H. Lieb and W. Liniger, Phys. Rev. 130, 1605 (1963);

    E. H. Lieb, ibid, 130, 1616 (1963). [3] C. N. Yang, C. P. Yang, J. Math. Phys. 10, 1115 (1969). [4] D. M. Gangardt and G. V. Shlyapnikov, Phys. Rev. Lett.

    90, 010401 (2003). [5] K. V. Kheruntsyan, D. M. Gangardt, P. D. Drummond,

    and G. V. Shlyapnikov, Phys. Rev. Lett. 91, 040403

    (2003); K. V. Kheruntsyan, D. M. Gangardt, P. D. Drum-

    mond, and G. V. Shlyapnikov, Phys. Rev. A 71, 053615

    (2005). [6] B. Laburthe Tolra, K. M. O'Hara, J. H. Huckans, W. D.

    92, 190401 (2004). [7] T. Kinoshita, T. R. Wenger and D. S. Weiss, Science 305,

    1125 (2004). [8] E. Haller, M. Gustavsson, M. J. Mark, J. G. Danzl, R.

    Hart, G. Pupillo, and H. C. Nagerl, Science 325, 1224

  • Similar Research Results (2)
  • Metrics
    No metrics available