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Nonlinear signatures of Floquet band topology
Aleksandra Maluckov, Ekaterina Smolina, Daniel Leykam +3
We study how the nonlinear propagation dynamics of bulk states may be used to distinguish topological phases of slowly-driven Floquet lattices. First, we show how instabilities of…
Dark soliton detection using persistent homology
Daniel Leykam, Irving Rondon, Dimitris G Angelakis
Classifying images often requires manual identification of qualitative features. Machine learning approaches including convolutional neural networks can achieve accuracy comparable…
Fock State-enhanced Expressivity of Quantum Machine Learning Models
Beng Yee Gan, Daniel Leykam, Dimitris G. Angelakis
The data-embedding process is one of the bottlenecks of quantum machine learning, potentially negating any quantum speedups. In light of this, more effective data-encoding strategi…
Gradient catastrophe of nonlinear photonic valley-Hall edge pulses
Daria A. Smirnova, Lev A. Smirnov, Ekaterina O. Smolina +2
We derive nonlinear wave equations describing the propagation of slowly-varying wavepackets formed by topological valley-Hall edge states. We show that edge pulses break up even in…