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A toy model for the dipolar-induced resonance in quasi-one-dimensional systems


We discuss the properties of the effective dipolar interaction for two particles tightly confined along a one-dimensional tube, stressing the emergence of a single dipolar-induced resonance in a regime for which two classical dipoles would just repel each other. We present a toy-model potential reproducing the main features of the effective interaction: a non-zero-range repulsive potential competing with an attractive contact term. The existence of a single resonance is confirmed analytically. The toy model is than generalized to investigate the interplay between dipolar and contact interaction, giving an intuitive interpretation of the resonance mechanism.

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Bartolo, N., Papoular, D.J., Recati, A. et al. A toy model for the dipolar-induced resonance in quasi-one-dimensional systems. Eur. Phys. J. Spec. Top. 224, 477–482 (2015).

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  • European Physical Journal Special Topic
  • Dipolar Interaction
  • Contact Interaction
  • Step Potential
  • Mesoscopic Physics