Generalized Efimov effect in one dimension

التفاصيل البيبلوغرافية
العنوان: Generalized Efimov effect in one dimension
المؤلفون: Moroz, Sergej, D'Incao, José P., Petrov, Dmitry S.
المصدر: Phys. Rev. Lett. 115, 180406 (2015)
سنة النشر: 2015
المجموعة: Mathematics
Condensed Matter
Mathematical Physics
Quantum Physics
مصطلحات موضوعية: Condensed Matter - Other Condensed Matter, Condensed Matter - Quantum Gases, Mathematical Physics, Quantum Physics
الوصف: We study a one-dimensional quantum problem of two particles interacting with a third one via a scale-invariant subcritically attractive inverse square potential, which can be realized, for example, in a mixture of dipoles and charges confined to one dimension. We find that above a critical mass ratio, this version of the Calogero problem exhibits the generalized Efimov effect, the emergence of discrete scale invariance manifested by a geometric series of three-body bound states with an accumulation point at zero energy.
Comment: 5+3 pages, 3 figures, published version
نوع الوثيقة: Working Paper
DOI: 10.1103/PhysRevLett.115.180406
URL الوصول: http://arxiv.org/abs/1506.03856
رقم الأكسشن: edsarx.1506.03856
قاعدة البيانات: arXiv
الوصف
DOI:10.1103/PhysRevLett.115.180406