Bulletin of the American Physical Society
52nd Annual Meeting of the APS Division of Atomic, Molecular and Optical Physics
Volume 66, Number 6
Monday–Friday, May 31–June 4 2021; Virtual; Time Zone: Central Daylight Time, USA
Session H08: Few-body Physics at Ultracold Temperatures
8:00 AM–10:00 AM,
Wednesday, June 2, 2021
Co-Sponsoring
Unit:
GFB
Chair: Jose D'Incao, JILA
Abstract: H08.00008 : Efimov-like states and quantum funneling effects on synthetic hyperbolic surfaces
9:24 AM–9:36 AM
Live
Presenter:
Ren Zhang
(Xi'an Jiaotong Univ)
Authors:
Ren Zhang
(Xi'an Jiaotong Univ)
Chenwei Lv
(Purdue University)
Yangqian Yan
(Purdue University)
Qi Zhou
(Purdue University)
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 Poincar\'e half-plane or its equivalent on the Poincar\'e 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.
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