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DOI	10.1016/j.scib.2021.06.017
	Efimov-like states and quantum funneling effects on synthetic hyperbolic surfaces
	Zhang R.; Lv C.; Yan Y.; Zhou Q.
发表日期	2021
ISSN	20959273
英文摘要	Engineering lattice models with tailored inter-site tunnelings and onsite energies could synthesize essentially arbitrary Riemannian surfaces with highly tunable local curvatures. Here, we point out that discrete synthetic Poincaré half-planes and Poincaré disks, which are created by lattices in flat planes, support infinitely degenerate eigenstates for any nonzero eigenenergies. Such Efimov-like states exhibit a discrete scaling symmetry and imply an unprecedented apparatus for studying quantum anomaly using hyperbolic surfaces. Furthermore, all eigenstates are exponentially localized in the hyperbolic coordinates, signifying the first example of quantum funneling effects in Hermitian systems. As such, any initial wave packet travels towards the edge of the Poincaré half-plane or its equivalent on the Poincaré disk, delivering an efficient scheme to harvest light and atoms in two dimensions. Our findings unfold the intriguing properties of hyperbolic spaces and suggest that Efimov states may be regarded as a projection from a curved space with an extra dimension. © 2021 Science China Press
关键词	Discrete scaling symmetry Efimov-like states Hyperbolic surfaces Quantum funneling effects
英文关键词	Discrete scaling symmetry; Efimov-like state; Eigen state; Half-planes; Hyperbolic surface; Lattice modelling; On-site energy; Poincare; Quantum funneling effect; Tunneling energy; Quantum theory
语种	英语
来源期刊	Science Bulletin
文献类型	期刊论文
条目标识符	http://gcip.llas.ac.cn/handle/2XKMVOVA/207671
作者单位	School of Physics, Xi'an Jiaotong University, Xi'an, 710049, China; Department of Physics and Astronomy, Purdue University, West Lafayette, IN 47907, United States; Purdue Quantum Science and Engineering Institute, Purdue University, West Lafayette, IN 47907, United States
推荐引用方式 GB/T 7714	Zhang R.,Lv C.,Yan Y.,et al. Efimov-like states and quantum funneling effects on synthetic hyperbolic surfaces[J],2021.
APA	Zhang R.,Lv C.,Yan Y.,&Zhou Q..(2021).Efimov-like states and quantum funneling effects on synthetic hyperbolic surfaces.Science Bulletin.
MLA	Zhang R.,et al."Efimov-like states and quantum funneling effects on synthetic hyperbolic surfaces".Science Bulletin (2021).