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

Year: 2015

Authors: Bartolo N., Papoular DJ., Recati A., Menotti C.

Autors Affiliation: Univ Trento, INO CNR BEC Ctr, Povo, Italy;‎ Univ Trento, Dip Fis, Povo, Italy;‎ Univ Montpellier 2, CNRS, L2C, UMR 5221, Montpellier, France

Abstract: 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.

Journal/Review: EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS

Volume: 224 (3)      Pages from: 477  to: 482

KeyWords: IMPENETRABLE BOSONS; QUANTUM GASES; PHASE
DOI: 10.1140/epjst/e2015-02377-y

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