786 citations · 5.7k across the 70 of their papers we have counts for
70 papers
Interferometric Readout of Momentum-Space Topology in a Programmable Dissipative Photonic Circuit
Andrea Cataldo, Emil J. Bergholtz, Daniel Leykam +2
Topology under non-Hermitian dynamics is encoded in the phase of the bulk evolution, yet strong dissipation suppresses the amplitudes carrying it. We resolve this using a programma…
Cusp solitons mediated by a topological nonlinearity
Harvey Cao, Daniel Leykam
Nonlinearity in the Schrödinger equation gives rise to rich phenomena such as soliton formation, modulational instability, and self-organization in diverse physical systems. Motiva…
Unsupervised learning of quantum many-body scars using intrinsic dimension
Harvey Cao, Dimitris G. Angelakis, Daniel Leykam
Quantum many-body scarred systems contain both thermal and non-thermal scar eigenstates in their spectra. When these systems are quenched from special initial states which share hi…
Identifying topology of leaky photonic lattices with machine learning
Ekaterina O. Smolina, Lev A. Smirnov, Daniel Leykam +2
We show how machine learning techniques can be applied for the classification of topological phases in leaky photonic lattices using limited measurement data. We propose an approac…
Landscape approximation of low energy solutions to binary optimization problems
Benjamin Y. L. Tan, Beng Yee Gan, Daniel Leykam +1
We show how the localization landscape, originally introduced to bound low energy eigenstates of disordered wave media and many-body quantum systems, can form the basis for hardwar…
Photonic Flatband Resonances in Multiple Light Scattering
Thanh Xuan Hoang, Daniel Leykam, Yuri Kivshar
We introduce the concept of photonic flatband resonances for the example of an array of high index dielectric particles. We employ the multiple Mie scattering theory and reveal tha…
Self-steepening-induced stabilization of nonlinear edge waves at photonic valley-Hall interfaces
Ekaterina O. Smolina, Lev A. Smirnov, Daniel Leykam +1
Localized nonlinear modes at valley-Hall interfaces in staggered photonic graphene can be described in the long-wavelength limit by a nonlinear Dirac-like model including spatial d…
Roadmap on structured waves
K. Y. Bliokh, E. Karimi, M. J. Padgett +47
Structured waves are ubiquitous for all areas of wave physics, both classical and quantum, where the wavefields are inhomogeneous and cannot be approximated by a single plane wave.…
Shallow quantum circuits for efficient preparation of Slater determinants and correlated states on a quantum computer
Chong Hian Chee, Daniel Leykam, Adrian M. Mak +1
Fermionic ansatz state preparation is a critical subroutine in many quantum algorithms such as Variational Quantum Eigensolver for quantum chemistry and condensed matter applicatio…
Unravelling quantum chaos using persistent homology
Harvey Cao, Daniel Leykam, Dimitris G. Angelakis
Topological data analysis is a powerful framework for extracting useful topological information from complex datasets. Recent work has shown its application for the dynamical analy…
Pseudospin-2 in photonic chiral borophene
Philip Menz, Haissam Hanafi, Daniel Leykam +2
Pseudospin is an angular momentum degree of freedom introduced in analogy to the real electron spin in the effective massless Dirac-like equation used to describe wave evolution at…
Computing Electronic Correlation Energies using Linear Depth Quantum Circuits
Chong Hian Chee, Adrian M. Mak, Daniel Leykam +2
Efficient computation of molecular energies is an exciting application of quantum computing for quantum chemistry, but current noisy intermediate-scale quantum (NISQ) devices can o…
Photonic quantum Hall effects
Daniel Leykam, Daria Smirnova
This article reviews the development of photonic analogues of quantum Hall effects, which have given rise to broad interest in topological phenomena in photonic systems over the pa…
Topological data analysis and machine learning
Daniel Leykam, Dimitris G. Angelakis
Topological data analysis refers to approaches for systematically and reliably computing abstract ``shapes'' of complex data sets. There are various applications of topological dat…
Boosting Topological Zero Modes Using Elastomer Waveguide Arrays
Angelina Frank, Daniel Leykam, Daria A. Smirnova +2
We employ the Su-Schrieffer-Heeger model in elastic polymer waveguide arrays to design and realize travelling topologically protected modes. The observed delocalization of the opti…
Persistent homology analysis of a generalized Aubry-André-Harper model
Yu He, Shiqi Xia, Dimitris G. Angelakis +3
Observing critical phases in lattice models is challenging due to the need to analyze the finite time or size scaling of observables. We study how the computational topology techni…
Anomalous single-mode lasing induced by nonlinearity and the non-Hermitian skin effect
B. F. Zhu, Q. Wang, D. Leykam +3
Single-mode operation is a desirable but elusive property for lasers operating at high pump powers. Typically, single-mode lasing is attainable close to threshold, but increasing t…
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…
Photonic band structure design using persistent homology
Daniel Leykam, Dimitris G Angelakis
The machine learning technique of persistent homology classifies complex systems or datasets by computing their topological features over a range of characteristic scales. There is…
Quantum transient heat transport in the hyper-parametric oscillator
JungYun Han, Daniel Leykam, Dimitris G. Angelakis +1
We explore nonequilibrium quantum heat transport in nonlinear bosonic systems in the presence of a non-Kerr-type interaction governed by hyper-parametric oscillation due to two-pho…
Probing band topology using modulational instability
Daniel Leykam, Ekaterina Smolina, Aleksandra Maluckov +2
We analyze the modulational instability of nonlinear Bloch waves in topological photonic lattices. In the initial phase of the instability development captured by the linear stabil…