124 citations · 368 across the 10 of their papers we have counts for
10 papers
Engineering symmetry-protected topological states in waveguide arrays
Lavi K. Upreti
The topological classification of a system depends on the discrete symmetries of its Hamiltonian. In Floquet photonic waveguide arrays, the abstract symmetries of the Altland--Zirn…
Topological non-Abelian gauge structures in Cayley-Schreier lattices
Zoltán Guba, Robert-Jan Slager, Lavi K. Upreti +1
Crystalline constructions known as Cayley-Schreier lattices have been suggested as a platform for realizing arbitrary gauge fields in synthetic crystals with real hopping amplitude…
Realizing efficient topological temporal pumping in electrical circuits
Alexander Stegmaier, Hauke Brand, Stefan Imhof +11
Quantized adiabatic transport can occur when a system is slowly modulated over time. In most realizations however, the efficiency of such transport is reduced by unwanted dissipati…
Observation of cnoidal wave localization in non-linear topolectric circuits
Hendrik Hohmann, Tobias Hofmann, Tobias Helbig +12
We observe a localized cnoidal (LCn) state in an electric circuit network. Its formation derives from the interplay of non-linearity and the topology inherent to a Su-Schrieffer-He…
Hyperbolic Matter in Electrical Circuits with Tunable Complex Phases
Anffany Chen, Hauke Brand, Tobias Helbig +11
Curved spaces play a fundamental role in many areas of modern physics, from cosmological length scales to subatomic structures related to quantum information and quantum gravity. I…
Topological properties of Floquet winding bands in a photonic lattice
Albert F. Adiyatullin, Lavi K. Upreti, Corentin Lechevalier +6
The engineering of synthetic materials characterised by more than one class of topological invariants is one of the current challenges of solid-state based and synthetic materials.…
Universality of Hofstadter butterflies on hyperbolic lattices
Alexander Stegmaier, Lavi K. Upreti, Ronny Thomale +1
Motivated by recent experimental breakthroughs in realizing hyperbolic lattices in superconducting waveguides and electric circuits, we compute the Hofstadter butterfly on regular…
Simulating hyperbolic space on a circuit board
Patrick M. Lenggenhager, Alexander Stegmaier, Lavi K. Upreti +12
The Laplace operator encodes the behavior of physical systems at vastly different scales, describing heat flow, fluids, as well as electric, gravitational, and quantum fields. A ke…
Topological chiral interface states beyond insulators
Lavi K. Upreti, P. Delplace
We show how to engineer a chiral spectral flow of interface states in a gapless system. Although the bulk bands touch -- thus making the topological indices of the bands ill-define…
Floquet Winding Metals
Lavi Kumar Upreti, Clément Evain, Stephane Randoux +3
We propose a generic scattering matrix model implementable in photonics to engineer a new Floquet metallic phase that combines two distinct topological properties: the winding of t…