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Gyroscopic effects in interference of matter waves

Other Condensed Matter 2009-11-11 v1

Abstract

A new gyroscopic interference effect stemming from the Galilean translational factor in the matter wave function is pointed out. In contrast to the well-known Sagnac effect that stems from the geometric phase and leads to a shift of interference fringes, this effect causes slanting of the fringes. We illustrate it by calculations for two split cigar-shaped Bose-Einstein condensates under the conditions of a recent experiment, see Y.Shin et al., Phys. Rev. Lett. 92, 050405 (2004). Importantly, the measurement of slanting obviates the need of a third reference cloud.

Keywords

Cite

@article{arxiv.cond-mat/0509087,
  title  = {Gyroscopic effects in interference of matter waves},
  author = {Oleg I. Tolstikhin and Toru Morishita and Shinichi Watanabe},
  journal= {arXiv preprint arXiv:cond-mat/0509087},
  year   = {2009}
}
R2 v1 2026-07-22T11:22:21.959Z