Reflecting on General Ideas

In condensed matter physics, it is easy to get lost in the details of one’s day-to-day work. It is important to sometimes take the time to reflect upon what you’ve done and learned and think about what it all means. In this spirit, below is a list of some of the most important ideas related to condensed matter physics that I picked up during my time as an undergraduate and graduate student. This is of course personal, and I hope that in time I will add to the list.

  1. Relationship between measurements and correlation functions
  2. Relationship between equilibrium fluctuations and non-equilibrium dissipative channels (i.e. the fluctuation-dissipation theorem)
  3. Principle of entropy maximization/free-energy minimization for matter in equilibrium
  4. Concept of the quasi-particle and screening
  5. Concept of Berry phase and the corresponding topological and geometrical consequences
  6. Broken symmetry, the Landau paradigm of phase classification and the idea of an order parameter
  7. Sum rules and the corresponding constraints placed on both microscopic theories and experimental spectra
  8. Bose-Einstein and Cooper Pair condensation and their spectacular properties
  9. Logical independence of physical theories on the theory of everything
  10. Effects of long-range vs. short-range interactions on macroscopic properties of solids
  11. Role of dimensionality in observing qualitatively different physical properties and phases of matter

The first two items on the list are well-explained in Forster’s Hydrodynamics, Fluctuations, Broken Symmetry and Correlation Functions without the use of Green’s functions and other advanced theoretical techniques. Although not yet a condensed matter phenomenon, Bell’s theorem and non-locality rank among the most startling consequences of quantum mechanics that I learned in graduate school. I suspect that its influence will be observed in a condensed matter setting in due time.

Please feel free to share your own ideas or concepts you would add to the list.

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3 responses to “Reflecting on General Ideas

  1. Pingback: Fractional quasiparticles and reality | This Condensed Life

  2. Pingback: Discovery s. Q&A Experiments | This Condensed Life

  3. Pingback: Response and Dissipation: Part 1 of the Fluctuation-Dissipation Theorem | This Condensed Life

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