Coupled Oscillators with Generalized Dissipation

Author: Date, Aditya Ghanashyam

Year: 2023

Degree: Dissertation (Ph.D.)

Advisor: Schwab, Keith C.

Committee Members: Endres, Manuel A.; Chen, Yanbei; Vengalattore, Mukund; Schwab, Keith C.

Option: Physics

DOI: 10.7907/nky2-p424

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.

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