We provide general theorems on the topology of photon-mediated interactions in terms of both Hermitian and non-Hermitian topological invariants, unveiling the phenomena of topological preservation and reversal, and revealing a system-bath topological correspondence. Depending on the Hermiticity of the ...
We provide general theorems on the topology of photon-mediated interactions in terms of both Hermitian and non-Hermitian topological invariants, unveiling the phenomena of topological preservation and reversal, and revealing a system-bath topological correspondence. Depending on the H...
In recent years, notions drawn from non-Hermitian physics and parity–time (PT) symmetry have attracted considerable attention. In particular, the realization that the interplay between gain and loss can lead to entirely new and unexpected features has initiated an intense research effort to explore...
Our non-Hermitian topological theory allows us to fully explain the nontrivial phase diagram of Maxwell surface modes, which includes well-known examples of surface plasmon-polaritons at metal-dielectric and negative-index interfaces, and to augment it with previously overlooked evanescent surface waves ...
A projector [Math Processing Error]\unicodex03A0∈L(HA) is a Hermitian operator such that [Math Processing Error]\unicodex03A02=\unicodex03A0. A unitary operator [Math Processing Error]VA:HA→HA is such that [Math Processing Error]VA†VA=VAVA†=IA. The set of all unitary operators on...
It was shown in [7] that nontrivialt-(v,k,λ)designs overFqexist for alltandqifk>12(t+1)andvis sufficiently large enough. These designs can be seen asq-analogs of combinatorial designs of typeAv−1sinceFqvtogether with the action of the general linear groupGL(v,q)is of this type...
Non-Hermitian photonics and topological photonics, as new research fields in optics, have attracted much attention in recent years, accompanying by a great deal of new physical concepts and novel effects emerging. The two fields are gradually crossed dur
If a U p -bundle has an Hermitian non-commutative connection invertible curvature, then it is trivial, (ii) Non-commutative Poincare Lemma. A necessary and sufficient condition to the local existence of non-commutative connection whose curvature becomes given operator valued function, is given. By...
et al. Generalized bulk–boundary correspondence in non-Hermitian topolectrical circuits. Nat. Phys. 16, 747 (2020). Article Google Scholar Wang, Y., Price, H. M., Zhang, B. & Chong, Y. D. Circuit implementation of a four-dimensional topological insulator. Nat. Commun. 11, 2356 (...
“sasers" would have the groundbreaking potential to revolutionize sound-based imaging and detection, but would possibly also push forward new paradigms in communications. For contemporary studies in non-Hermitian topology when sound waves are considered, artificial lattices executing acoustic amplification ...