Bulletin of the American Physical Society
2023 APS March Meeting
Volume 68, Number 3
Las Vegas, Nevada (March 5-10)
Virtual (March 20-22); Time Zone: Pacific Time
Session T65: Photonics and Applications
11:30 AM–2:18 PM,
Thursday, March 9, 2023
Room: Room 414
Sponsoring
Unit:
DAMOP
Chair: Gehad Sadiek, University of Sharjah
Abstract: T65.00001 : Localization landscape and mobility edge in polaritonic lattices*
11:30 AM–11:42 AM
Presenter:
Sudheesh Srivastava
(Graduate Center, City University of New York)
Authors:
Sudheesh Srivastava
(Graduate Center, City University of New York)
Gustavo M Machado Monteiro
(City College of New York)
Ravindra Kumar Yadav
(The City college of New York)
Sriram Ganeshan
(City College of New York)
Vinod M Menon
(The City College of New York)
In this work, we present a protocol to design polariton lattices that capture 1D quasi-periodic tight-binding Hamiltonians with mobility-edge. This mobility edge defines an energy boundary between localized and extended states in the spectrum. In particular, we focus on the Generalised Aubrey-Andre model[1]. We study the localization properties of the model through the localization-landscape theory, which is a diagnostic of the localized low-energy state positions. This, in principle, can be used as a direct comparison with the real space imaging of the polariton lattice. Furthermore, we compare these predictions with numerical calculations. At the end, we say a few words on the expected condensate behaviour, through numerical simulations.
[1]S. Ganeshan et al, Phys. Rev. Lett. 114, 146601 (2015)
*SS and SG were supported by NSF CAREER Grant No. DMR-1944967 (SG)GMM and VM were supported by the National Science Foundation under GrantOMA1936351
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