3 papers
quant-ph2026
Quantum viscosity mechanism of the dissipative dynamics in the Dicke model expressed via Lindblad equation of motion
M. E. S. Beck, S. S. Seidov, S. I. Muhkin
Quantum dissipation is studied in the superradiant phase of the Extended Dicke model. It is demonstrated analytically by quantum mechanical derivation of the Lindblad equation for…
math.DS2026
Resonant vector bundles, conjugate points, and the stability of pulse solutions to the {S}wift-{H}ohenberg equation using validated numerics: Part I
Margaret Beck, Jonathan Jaquette, Hannah Pieper
In this paper, we develop new theory connected with resonant vector bundles that will allow for the use of validated numerics to rigorously determine the stability of pulse solutio…
math.AP2025
The Maslov index, degenerate crossings and the stability of pulse solutions to the Swift-Hohenberg equation
Margaret Beck, Jonathan Jaquette, Hannah Pieper
In the scalar Swift-Hohenberg equation with quadratic-cubic nonlinearity, it is known that symmetric pulse solutions exist for certain parameter regions. In this paper we develop a…