DOI: 10.1016/j.scib.2021.06.017
论文题名: Efimov-like states and quantum funneling effects on synthetic hyperbolic surfaces
作者: Zhang R. ; Lv C. ; Yan Y. ; Zhou Q.
刊名: Science Bulletin
ISSN: 20959273
出版年: 2021
语种: 英语
中文关键词: 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
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 Citation statistics:
资源类型: 期刊论文
标识符: http://119.78.100.158/handle/2HF3EXSE/170505
Appears in Collections: 气候变化与战略
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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
Recommended Citation:
Zhang R.,Lv C.,Yan Y.,et al. Efimov-like states and quantum funneling effects on synthetic hyperbolic surfaces[J]. Science Bulletin,2021-01-01