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Title: Realization of Hofstadter's butterfly and a one-way edge mode in a polaritonic system
Authors: Banerjee, Rimi
Liew, Timothy Chi Hin
Kyriienko, O.
Keywords: Hofstadter’s Butterfly
Issue Date: 2018
Source: Banerjee, R., Liew, T. C. H., & Kyriienko, O. (2018). Realization of Hofstadter's butterfly and a one-way edge mode in a polaritonic system. Physical Review B, 98(7), 075412-. doi: 10.1103/PhysRevB.98.075412
Project: M0E2017-T2-1-001
Journal: Physical Review B
Series/Report no.: Physical Review B
Abstract: We present a scheme to generate an artificial gauge field for the system of neutral bosons, represented by polaritons in micropillars arranged into a square lattice. The splitting between the two polarizations of the micropillars breaks the time-reversal symmetry (TRS) and results in the effective phase-dependent hopping between cavities. This can allow for engineering a nonzero flux on the plaquette, corresponding to an artificial magnetic field. Changing the phase, we observe a characteristic Hofstadter's butterfly pattern and the appearance of chiral edge states for a finite-size structure. For long-lived polaritons, we show that the propagation of wave packets at the edge is robust against disorder. Moreover, given the inherent driven-dissipative nature of polariton lattices, we find that the system can exhibit topological lasing, recently discovered for active ring cavity arrays. The results point to a static way to realize artificial magnetic field in neutral spinful systems, avoiding the periodic modulation of the parameters or strong spin-orbit interaction. Ultimately, the described system can allow for high-power topological single-mode lasing which is robust to imperfections.
ISSN: 2469-9950
DOI: 10.1103/PhysRevB.98.075412
DOI (Related Dataset): 10.21979/N9/WI8BQF
Schools: School of Physical and Mathematical Sciences 
Rights: © 2018 American Physical Society. This paper was published in Physical Review B and is made available as an electronic reprint (preprint) with permission of American Physical Society. The published version is available at: []. One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper is prohibited and is subject to penalties under law.
Fulltext Permission: open
Fulltext Availability: With Fulltext
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