4 papers
New Insights into the Nature of Nonlinear Gravitational Waves
Rosie Hayward, Fabio Biancalana
We study the evolution equations for gravitational waves, which are derived using the full metric to raise and lower indices. This method ensures full consistency between the Ricci…
Monopole Antimonopole Instability in Non-Hermitian Coupled Waveguides
Rosie Hayward, Fabio Biancalana
A non-Hermitian coupled waveguide system with periodically varying parameters, in which the Berry curvature is analogous to a hyperbolic magnetic monopole or antimonopole, is inves…
Complex Berry phase instability in PT-symmetric coupled waveguides
Rosie Hayward, Fabio Biancalana
We show that the analogue of the geometric phase for non-Hermitian coupled waveguides with PT-symmetry and at least one periodically varying parameter can be purely imaginary, and…
Constructing new nonlinear evolution equations with supersymmetry
Rosie Hayward, Fabio Biancalana
The factorisation method commonly used in linear supersymmetric quantum mechanics is extended, such that it can be applied to nonlinear quantum mechanical systems. The new method i…