17 papers
Topology is not silent in the transport noise of multiband bosons
Zhi-Wei Wang, Samuel L. Braunstein
For electrons at a Fermi surface, the topological part of the Berry curvature drops out of the transport noise: the anomalous Hall conductivity is quantized, and the fluctuations o…
A sharp bound on spacetime distance from quantum entanglement
Zhi-Wei Wang, Arshid Shabir, Mir Faizal +1
Ryu-Takayanagi established how boundary entanglement encodes bulk area. We provide the metric counterpart: boundary mutual information imposes a rigorous lower bound on bulk geodes…
Lubkin-Page typicality bounds for Type~II von~Neumann factors
Zhi-Wei Wang, Samuel L. Braunstein
Typicality arguments for emergent spacetime rely on the Lubkin-Page bounds, which show that generic quantum states have vanishing correlations between subsystems. These bounds assu…
Hodge Topology of Semiclassical Transport: A Coordinate-Free Geometric Framework for the Anomalous Hall Effect and Non-Linear Berry Dipole
Zhi-Wei Wang, Samuel L. Braunstein
We establish a coordinate-free differential geometric framework for anomalous transport in topological bands using the Hodge-de Rham decomposition of the Brillouin zone. Standard f…
Quantum typicality survives non-Abelian gauge constraints: exact analytical prediction confirmed in lattice gauge theory
Zhi-Wei Wang, Samuel L. Braunstein
Arguments for emergent spacetime require that quantum typicality, the generic absence of inter-subsystem correlations, persists on the physical Hilbert space of a gauge theory, whe…
Global exponential stability for the three-dimensional Navier-Stokes equations on hyperbolic space
Zhi-Wei Wang, Samuel L. Braunstein
We prove that the three-dimensional incompressible Navier-Stokes equations with the deformation Laplacian on hyperbolic 3-space $\HH^3$ admit a unique global mild solution for suff…