The emergence, coalescence and topological properties of multiple exceptional points and their experimental realization
By K. Ding, Guancong Ma, M. Xiao, Zhao-qing Zhang, C. T. Chan. 2015
413 citations recorded by the source corpus.
Non-Hermitian systems distinguish themselves from Hermitian systems by exhibiting a phase transition point called an exceptional point (EP), which is the point at which two eigenstates coalesce under a system parameter variation. Many interesting EP phenomena such as level crossings/repulsions in nuclear/molecular and condensed matter physics, and unusual phenomena in optics such as loss-induced lasing and unidirectional transmission can be understood by considering a simple 2x2 non-Hermitian matrix. At a higher dimension, more complex EP physics not found in two-state systems arises. We consider the emergence and interaction of multiple EPs in a four-state system theoretically and realize the system experimentally using four coupled acoustic cavities with asymmetric losses. We find that multiple EPs can emerge and as the system parameters vary, these EPs can collide and merge, leading to higher order singularities and topological characteristics much richer than those seen in two-state systems.
Subfields: Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/55c851dbc74e4936e78ab6b813cf27e0851ab48f
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In Atomic and Molecular Physics, and Optics
In Statistical and Nonlinear Physics
Citations in the corpus
- Interplay of non-Hermitian skin effects and Anderson localization in nonreciprocal quasiperiodic lattices (2019, background): “[35] Kun Ding, Guancong Ma, Meng Xiao, Z.”
- Dynamically Encircling Exceptional Points: In situ Control of Encircling Loops and the Role of the Starting Point (2018, background): “degeneracy-induced intersection of complex Riemann sheets [24,25]. This phenomenon has been demonstrated experimentally in microwave cavities [26], exciton-polariton systems [27] and acoustic systems [28], where static measurements of the spectra and eigenmodes successfully revealed the topological ”