- Topological Materials and Phenomena
- Quantum Mechanics and Non-Hermitian Physics
- Graphene research and applications
- Quantum and electron transport phenomena
- Mechanical and Optical Resonators
- Nonlinear Photonic Systems
- Quantum chaos and dynamical systems
- Noncommutative and Quantum Gravity Theories
- Photorefractive and Nonlinear Optics
- Sensor Technology and Measurement Systems
- Thermal properties of materials
- Cryptographic Implementations and Security
- Advanced MEMS and NEMS Technologies
- Slime Mold and Myxomycetes Research
- Strong Light-Matter Interactions
- Neural Networks and Applications
- Thermal Radiation and Cooling Technologies
- Quantum many-body systems
- Algebraic structures and combinatorial models
- Plasmonic and Surface Plasmon Research
- Black Holes and Theoretical Physics
- Geometric and Algebraic Topology
University of Würzburg
2019-2024
A topological light funnel Because most physical systems cannot be totally isolated from their environment, some degree of dissipation or loss is expected. The successful operation such generally relies on mitigating for that loss. Mathematically, external interactions are described as non-Hermitian. Recent work has shown controlling the gain and in these gives rise to a wide variety exotic phenomena not expected Hermitian counterparts. Using time-dependent photonic lattice which properties...
We propose an electric circuit array with topologically protected unidirectional voltage modes at its boundary. Instead of external bias fields or Floquet engineering, we employ negative impedance converters current inversion (INICs) to accomplish a nonreciprocal, time-reversal symmetry-broken electronic network call topolectrical Chern (TCC). The TCC features admittance bulk gap fully tunable via the resistors used in INICs, along chiral boundary mode reminiscent Berry flux monopole present...
We employ electric circuit networks to study topological states of matter in non-Hermitian systems enriched by parity-time symmetry $\mathcal{P}\mathcal{T}$ and chiral anti-$\mathcal{P}\mathcal{T}$ ($\mathcal{A}\mathcal{P}\mathcal{T}$). The structure manifests itself the complex admittance bands which yields excellent measurability signal noise ratio. analyze impact $\mathcal{P}\mathcal{T}$-symmetric gain loss on localized edge defect a Su-Schrieffer-Heeger (SSH) circuit. realize all three...
The Laplace operator encodes the behavior of physical systems at vastly different scales, describing heat flow, fluids, as well electric, gravitational, and quantum fields. A key input for equation is curvature space. Here we discuss experimentally demonstrate that spectral ordering Laplacian eigenstates hyperbolic (negatively curved) flat two-dimensional spaces has a universally structure. We use lattice regularization space in an electric-circuit network to measure 'hyperbolic drum',...
Abstract Curved spaces play a fundamental role in many areas of modern physics, from cosmological length scales to subatomic structures related quantum information and gravity. In tabletop experiments, negatively curved can be simulated with hyperbolic lattices. Here we introduce experimentally realize matter as paradigm for topological states through topolectrical circuit networks relying on complex-phase element. The experiment is based band theory that confirm here an unprecedented...
We develop an approach to design, engineer, and measure band structures in a synthetic crystal composed of electric circuit elements. Starting from nodal analysis lattice terms currents voltages, our Laplacian formalism for matter allows us investigate arbitrary tight-binding models wave-number-resolved eigenmodes, yielding admittance structure the circuit. For illustration, we model honeycomb featuring Dirac cone bulk dispersion as well flat edge modes at its bearded zigzag terminations....
This work explores a non-Hermitian system displaying reciprocal variant of the skin effect, which is characterized by an extensive anomalous localization all Hamiltonian eigenmodes in one-dimensional geometry. The authors experimentally demonstrate effect passive RLC circuit and suggest alternative implementations optical, acoustic, mechanical, related platforms.
Abstract 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 requisite finely tuned long-ranged hoppings. Even if constructed, probing linkages and "drumhead” surface states will challenging the high precision needed. In this work, we overcome these practical technical challenges RLC circuits, transcending existing theoretical constructions which necessarily break...
We observe a localized cnoidal (LCn) state in an electric circuit network. Its formation derives from the interplay of non-linearity and topology inherent to Su-Schrieffer-Heeger (SSH) chain inductors. Varicap diodes act as voltage-dependent capacitors, create non-linear on-site potential. For sinusoidal voltage excitation around midgap frequency, we show that response SSH follows Korteweg-de Vries equation. The topological boundary which relates impedance peak linearized limit is distorted...
Quantized adiabatic transport can occur when a system is slowly modulated over time. In most realizations, however, the efficiency of such reduced by unwanted dissipation, back-scattering, and nonadiabatic effects. this paper, we realize topological pump in an electrical circuit network that supports remarkably stable long-lasting pumping voltage signal. We further characterize topology our deducing Chern number from measured edge band structure. To achieve this, experimental setup makes use...
Abstract Light-matter superposition states obtained via strong coupling play a decisive role in quantum information processing, but the deleterious effects of material dissipation and environment-induced decoherence inevitably destroy coherent light-matter polaritons over time. Here, we propose use perfect absorption under near-field driving to prepare protect polaritonic single emitter interacting with plasmonic nanocavity at room temperature. Our scheme nanoplasmonic leverages an inherent...
If we prepare an isolated, interacting quantum system in eigenstate and perturb a local observable at initial time, its expectation value will relax towards thermal value, even though the time evolution of is deterministic. The thermalization hypothesis (ETH) Deutsch Srednicki suggests that this possible because each full acts as bath to subsystems, such reduced density matrices subsystems resemble matrices. Here, use observation eigenvalue distribution systems Gaussian under very general...
Quantized adiabatic transport can occur when a system is slowly modulated over time. In most realizations however, the efficiency of such reduced by unwanted dissipation, back-scattering, and non-adiabatic effects. this work, we realize topological pump in an electrical circuit network that supports remarkably stable long-lasting pumping voltage signal. We further characterize topology our deducing Chern number from measured edge band structure. To achieve this, experimental setup makes use...
Non-Hermiticity, induced by anisotropic coupling, makes the mode spectrum highly sensitive to existence of boundaries. We demonstrate and exploit this behaviour experimentally in a photonic lattice construct light funnel.