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24 April 2024 |
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Article overview
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Non-Hermitian Topological End-Mode Lasing in Polariton Systems | | Paolo Comaron
; Vanik Shahnazaryan
; Wojciech Brzezicki
; Timo Hyart
; Michał Matuszewski
; | | Date: |
13 Dec 2019 | | Abstract: | We predict the existence of non-Hermitian topologically protected end states
in a one-dimensional exciton-polariton condensate lattice. The topological
transitions are driven by spatially modulated incoherent pump which imposes a
four-site unit cell. We show that in particular limits of the model the number
of end states is described by a Chern number and a topological invariant based
on the eigenvalues of the Wilson loop. By continuity the end states exist
beyond these limits because the end modes can only disappear or appear at
transitions where the energy gap between the bulk bands and end states closes.
We find that such transitions in an infinite open chain arise due to enforced
exceptional points which can be predicted directly from the bulk Bloch wave
functions. This allows us to establish a new type of bulk-boundary
correspondence for non-Hermitian systems and to compute the phase diagram of an
infinite open chain analytically. Finally, we demonstrate topological lasing of
a single end-mode in a realistic model of a microcavity lattice. | | Source: | arXiv, 1912.6431 | | Services: | Forum | Review | PDF | Favorites | |
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