Low energy excitations in bosonic quantum quasicrystals

التفاصيل البيبلوغرافية
العنوان: Low energy excitations in bosonic quantum quasicrystals
المؤلفون: Mendoza-Coto, Alejandro, Bonifacio, Mariano, Piazza, Francesco
سنة النشر: 2024
المجموعة: Condensed Matter
Quantum Physics
مصطلحات موضوعية: Condensed Matter - Statistical Mechanics, Condensed Matter - Quantum Gases, Quantum Physics
الوصف: We present the first principles construction of the low-energy effective action for bosonic self-organized quantum quasicrystals. Our generalized elasticity approach retains the appropriate number of phase- and corresponding conjugate density- degrees-of-freedom required for a proper description of the Goldstone modes. For the dodecagonal and decagonal quasicrystal structures we obtain collective longitudinal and transversal excitations with an isotropic speed of sound. Meanwhile, for the octagonal structure, the coupling between phononic and phasonic degrees of freedom leads in turn to hybridization of the latter with the condensate sound mode, producing collective excitations with a longitudinal and transversal component, and an anisotropic speed of sound. Finally, we discuss the fate of each excitation mode at the low and high density phase transitions limiting the quantum quasicrystal phase.
Comment: 4 pages main document, 8 pages supplemental material, 5 figures
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2407.21230
رقم الأكسشن: edsarx.2407.21230
قاعدة البيانات: arXiv