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Coupled Oscillators with Generalized Dissipation


Date, Aditya Ghanashyam (2023) Coupled Oscillators with Generalized Dissipation. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/nky2-p424.


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.

Item Type:Thesis (Dissertation (Ph.D.))
Subject Keywords:Non-Markovian reservoirs
Degree Grantor:California Institute of Technology
Division:Physics, Mathematics and Astronomy
Major Option:Physics
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Schwab, Keith C.
Thesis Committee:
  • Endres, Manuel A. (chair)
  • Chen, Yanbei
  • Vengalattore, Mukund
  • Schwab, Keith C.
Defense Date:10 January 2023
Record Number:CaltechTHESIS:01312023-163405681
Persistent URL:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:15096
Deposited By: Aditya Date
Deposited On:21 Feb 2023 18:18
Last Modified:28 Feb 2023 17:59

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