Web29 Jun 2024 · The second Chern number has further been measured in an artificial parameter space, which was realized by a cyclic coupling of four internal levels of bosonic 87 Rb atoms [121]. Beyond cold atoms ... WebThe Berry curvature is an anti-symmetric second-rank tensor derived from the Berry connection via ... This number is the so-called Chern number, and is essential for understanding various quantization effects. Finally, note that the Berry curvature can also be written as a sum over all other eigenstates in the form
Berry connection and curvature - Wikipedia
Web7 Apr 2024 · Given a smooth action of a Lie group on a manifold, we give two constructions of the Chern character of an equivariant vector bundle in the cyclic cohomology of the crossed product algebra. The first construction associates a cycle to the vector bundle whose structure maps are closely related to Getzler's model for equivariant cohomology. … Web19 Dec 2024 · The topological protection by the second Chern number indicates that the physical origin of the one-way fiber modes is fundamentally different from that of the … poison logo skull
Second Chern number of a quantum-simulated non-Abelian Yang …
Web14 Dec 2015 · The Chern number indicates topological behavior in the sense that small deformations of the system (such as disorder, strain, and localized defects) have little effect on its properties. Web19 Dec 2024 · The topological protection by the second Chern number indicates that the physical origin of the one-way fiber modes is fundamentally different from that of the edge modes of the 2D Chern crystals 5, 6 (2D Chern insulator or 2D QHE), whose topology is captured by the first Chern number. Webof the second Chern number is necessary to characterize what could be observed in experiments. Finally, we study a modified version of the 4D quantum Hall effect where the model cannot be factorized anymore in a product two 2D-quantum Hall effect. In this case, there is a need for an efficient algorithm to compute numerically the second poison line