How statistical mechanics emerges from quantum mechanics
The Logical Approach
Hey everyone!
Jonathon Riddell here. Today we will explore the famous Eigenstate Thermalization Hypothesis, my personal favorite topic in statistical mechanics. We will introduce the Hypothesis by studying the dynamics of observables in quantum mechanics, and by introducing assumptions that lead us to the predictions of statistical mechanics.
Quantum dynamics refresher: https://youtu.be/1tserF6VGqI
Papers I show at the beginning: https://www.tandfonline.com/doi/full/10.1080/00018732.2016.1198134
https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.125.070605
https://journals.aps.org/prb/abstract/10.1103/PhysRevB.97.035129
https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.124.200604
https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.115.220401
https://journals.aps.org/prb/abstract/10.1103/PhysRevB.91.155123
To view my publication history: https://scholar.google.com/citations?user=V2UZXZMAAAAJ&hl=en
00:00 Intro and brief statement 02:02 Starting the explanation and intuition 06:46 What we need for statistical mechanics to be true 12:25 Diagonal hypothesis 16:35 Entanglement of eigenstates 19:49 Off-diagonal hypothesis 22:19 Conclusion ... https://www.youtube.com/watch?v=p4fpzYD_WRU
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