M. Wagner
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View article: Hamiltonian dynamics and geometry on the two-plectic six-sphere
Hamiltonian dynamics and geometry on the two-plectic six-sphere Open
We study the two-plectic geometry of the six-sphere induced by pulling back a canonical $G_2$-invariant three-form from $\mathbb{R}^7$ . Notably we explicitly prove non-flatness of this structure and show that its infinitesimal automorphis…
View article: Notes on equivalent formulations of Hamiltonian dynamics on multicotangent bundles
Notes on equivalent formulations of Hamiltonian dynamics on multicotangent bundles Open
We show the equivalence of five different conditions on a classical field $ψ$ with values in a restricted multicotangent bundle to be a solution of the field equations, notably in terms of the Hamilton-Volterra equations, the principle of …
View article: Probing Polaron Clouds by Rydberg Atom Spectroscopy
Probing Polaron Clouds by Rydberg Atom Spectroscopy Open
In recent years, Rydberg excitations in atomic quantum gases have become a successful platform to explore quantum impurity problems. A single impurity immersed in a Fermi gas leads to the formation of a polaron, a quasiparticle consisting …
View article: Feshbach Resonances in Exciton-Charge-Carrier Scattering in Semiconductor Bilayers
Feshbach Resonances in Exciton-Charge-Carrier Scattering in Semiconductor Bilayers Open
Feshbach resonances play a vital role in the success of cold atoms investigating strongly-correlated physics. The recent observation of their solid-state analog in the scattering of holes and intralayer excitons in transition metal dichalc…
View article: Probing polaron clouds by Rydberg atom spectroscopy
Probing polaron clouds by Rydberg atom spectroscopy Open
In recent years, Rydberg excitations in atomic quantum gases have become a successful platform to explore quantum impurity problems. A single impurity immersed in a Fermi gas leads to the formation of a polaron, a quasiparticle consisting …
View article: On the strong metric dimension of composed graphs
On the strong metric dimension of composed graphs Open
Two vertices $u$ and $v$ of an undirected graph $G$ are strongly resolved by a vertex $w$ if there is a shortest path between $w$ and $u$ containing $v$ or a shortest path between $w$ and $v$ containing $u$. A vertex set $R$ is a strong re…
View article: Tunable Feshbach Resonances and Their Spectral Signatures in Bilayer Semiconductors
Tunable Feshbach Resonances and Their Spectral Signatures in Bilayer Semiconductors Open
Feshbach resonances are an invaluable tool in atomic physics, enabling precise control of interactions and the preparation of complex quantum phases of matter. Here, we theoretically analyze a solid-state analogue of a Feshbach resonance i…
View article: Tunable Feshbach Resonances and Their Spectral Signatures in Bilayer Semiconductors
Tunable Feshbach Resonances and Their Spectral Signatures in Bilayer Semiconductors Open
Feshbach resonances provide an invaluable tool in atomic physics, enabling precise control of interactions and the preparation of complex quantum phases of matter. Here, we theoretically analyze a solid-state analog of a Feshbach resonance…
View article: Dynamics of atoms within atoms
Dynamics of atoms within atoms Open
Recent experiments with Bose–Einstein condensates have entered a regime in which thousands of ground-state condensate atoms fill the Rydberg-electron orbit. After the excitation of a single atom into a highly excited Rydberg state, scatter…
View article: Clock Error Analysis of Common Time of Flight based Positioning Methods
Clock Error Analysis of Common Time of Flight based Positioning Methods Open
Today, many applications such as production or rescue settings rely on highly\naccurate entity positioning. Advanced Time of Flight (ToF) based positioning\nmethods provide highaccuracy localization of entities. A key challenge for ToF\nba…
View article: Probing nonlocal spatial correlations in quantum gases with ultra-long-range Rydberg molecules
Probing nonlocal spatial correlations in quantum gases with ultra-long-range Rydberg molecules Open
We present photo-excitation of ultra-long-range Rydberg molecules as a probe\nof spatial correlations in quantum gases. Rydberg molecules can be created with\nwell-defined internuclear spacing, set by the radius of the outer lobe of the\nR…
View article: Topological invariants in dissipative extensions of the Su-Schrieffer-Heeger model
Topological invariants in dissipative extensions of the Su-Schrieffer-Heeger model Open
We investigate dissipative extensions of the Su-Schrieffer-Heeger model with regard to different approaches of modeling dissipation. In doing so, we use two distinct frameworks to describe the gain and loss of particles, one uses Lindblad …
View article: NUMERICAL CALCULATION OF THE COMPLEX BERRY PHASE IN NON-HERMITIAN SYSTEMS
NUMERICAL CALCULATION OF THE COMPLEX BERRY PHASE IN NON-HERMITIAN SYSTEMS Open
We numerically investigate topological phases of periodic lattice systems in tight-binding description under the influence of dissipation. The effects of dissipation are effectively described by PT-symmetric potentials. In this framework w…