Coupled Oscillators with Generalized Dissipation

Citation

Date, Aditya Ghanashyam (2023) Coupled Oscillators with Generalized Dissipation. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/nky2-p424. https://resolver.caltech.edu/CaltechTHESIS:01312023-163405681

Abstract

We theoretically study a mechanical system of two coupled harmonic oscillators with arbitrary damping kernels. We consider cases where the damping is of a Markovian nature as well as the case of generalized non-Markovian damping. Previous studies had been performed for specific and equal nonMarkovian damping kernels, namely an exponential and a power law kernel. We generalize this study for arbitrary and unequal damping kernels, finding that certain properties, namely the existence of a phase transition remain unchanged. This remains true for all non-zero values of the coupling strength between the modes. The study opens up new avenues for the experimental study of systems with hitherto unexplored system-bath interactions.

Thesis Files