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Coexistence of stable and unstable population dynamics in a nonlinear non-Hermitian mechanical dimer
Enrico Martello, Yaashnaa Singhal, Bryce Gadway +2
Non-Hermitian two-site ``dimers'' serve as minimal models in which to explore the interplay of gain and loss in dynamical systems. In this paper, we experimentally and theoreticall…
Measuring the Adiabatic Non-Hermitian Berry Phase in Feedback-Coupled Oscillators
Yaashnaa Singhal, Enrico Martello, Shraddha Agrawal +3
The geometrical Berry phase is key to understanding the behaviour of quantum states under cyclic adiabatic evolution. When generalised to non-Hermitian systems with gain and loss,…
Synthetic Mechanical Lattices with Synthetic Interactions
Ritika Anandwade, Yaashnaa Singhal, Sai Naga Manoj Paladugu +8
Metamaterials based on mechanical elements have been developed over the past decade as a powerful platform for exploring analogs of electron transport in exotic regimes that are ha…
Linking topological features of the Hofstadter model to optical diffraction figures
Francesco Di Colandrea, Alessio D'Errico, Maria Maffei +6
In two, three and even four spatial dimensions, the transverse responses experienced by a charged particle on a lattice in a uniform magnetic field are fully controlled by topologi…
Circuit Implementation of a Four-Dimensional Topological Insulator
You Wang, Hannah M. Price, Baile Zhang +1
The classification of topological insulators predicts the existence of high-dimensional topological phases that cannot occur in real materials, as these are limited to three or few…
Synthetic dimensions and topological chiral currents in mesoscopic rings
Hannah M. Price, Tomoki Ozawa, Henning Schomerus
The recently-introduced concept of "synthetic dimensions" allows for the realization of higher-dimensional topological phenomena in lower-dimensional systems. In this work we study…
The 6D quantum Hall effect and 3D topological pumps
Ioannis Petrides, Hannah M. Price, Oded Zilberberg
Modern technological advances allow for the study of systems with additional synthetic dimensions. Using such approaches, higher-dimensional physics that was previously deemed to b…
Propagating edge states in strained honeycomb lattices
Grazia Salerno, Tomoki Ozawa, Hannah M. Price +1
We investigate the helically-propagating edge states associated with pseudo-Landau levels in strained honeycomb lattices. We exploit chiral symmetry to derive a general criterion f…
Spin-orbit coupling in a hexagonal ring of pendula
Grazia Salerno, Alice Berardo, Tomoki Ozawa +4
We consider the mechanical motion of a system of six macroscopic pendula which are connected with springs and arranged in a hexagonal geometry. When the springs are pre-tensioned,…
Quantum Hall effect in momentum space
Tomoki Ozawa, Hannah M. Price, Iacopo Carusotto
We theoretically discuss a momentum-space analog of the quantum Hall effect, which could be observed in topologically nontrivial lattice models subject to an external harmonic trap…
Floquet topological system based on frequency-modulated classical coupled harmonic oscillators
Grazia Salerno, Tomoki Ozawa, Hannah M. Price +1
We theoretically propose how to observe topological effects in a generic classical system of coupled harmonic oscillators, such as classical pendula or lumped-element electric circ…
Synthetic dimensions in integrated photonics: From optical isolation to 4D quantum Hall physics
Tomoki Ozawa, Hannah M. Price, Nathan Goldman +2
Recent technological advances in integrated photonics have spurred on the study of topological phenomena in engineered bosonic systems. Indeed, the controllability of silicon ring-…
Momentum-space Landau levels in driven-dissipative cavity arrays
Andrei C. Berceanu, Hannah M. Price, Tomoki Ozawa +1
We theoretically study the driven-dissipative Harper-Hofstadter model on a 2D square lattice in the presence of a weak harmonic trap. Without pumping and loss, the eigenstates of t…