898 citations · 3.2k across the 12 of their papers we have counts for
12 papers
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…
A spectral duality in graphs and microwave networks
Tobias Hofmann, Junjie Lu, Ulrich Kuhl +1
Quantum graphs and their experimental counterparts, microwave networks, are ideally suited to study the spectral statistics of chaotic systems. The graph spectrum is obtained from…
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 defect engineering and PT-symmetry in non-Hermitian electrical circuits
Alexander Stegmaier, Stefan Imhof, Tobias Helbig +14
We employ electric circuit networks to study topological states of matter in non-Hermitian systems enriched by parity-time symmetry and chiral symmetry anti-$\mathca…
Efficient Light Funneling based on the non-Hermitian Skin Effect
Sebastian Weidemann, Mark Kremer, Tobias Helbig +5
In the last two decades, the ubiquitous effect of dissipation has proven to entail astonishing non-Hermitian features, rather than just being an inescapable nuisance. As an alterna…
Reciprocal skin effect and its realization in a topolectrical circuit
Tobias Hofmann, Tobias Helbig, Frank Schindler +11
A system is non-Hermitian when it exchanges energy with its environment and non-reciprocal when it behaves differently upon the interchange of input and response. Within the field…
Observation of bulk boundary correspondence breakdown in topolectrical circuits
Tobias Helbig, Tobias Hofmann, Stefan Imhof +7
The study of the laws of nature has traditionally been pursued in the limit of isolated systems, where energy is conserved. This is not always a valid approximation, however, as th…
Imaging nodal knots in momentum space through topolectrical circuits
Ching Hua Lee, Amanda Sutrisno, Tobias Hofmann +7
Knots are intricate structures that cannot be unambiguously distinguished with any single topological invariant. Momentum space knots, in particular, have been elusive due to their…
Chiral voltage propagation in a self-calibrated topolectrical Chern circuit
Tobias Hofmann, Tobias Helbig, Ching Hua Lee +2
We propose an electric circuit array with topologically protected uni-directional voltage modes at its boundary. Instead of external bias fields or floquet engineering, we employ n…
Band structure engineering and reconstruction in electric circuit networks
Tobias Helbig, Tobias Hofmann, Ching Hua Lee +4
We develop an approach to design, engineer, and measure band structures in a synthetic crystal composed of electric circuit elements. Starting from the nodal analysis of a circuit…