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LBRY Claims • statistical-mechanics-and-quantum

3a120f561c61640f02a4b2416ad7197d9d87d3d2

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@The.Logical.Approach
Created On
14 Feb 2022 12:51:01 UTC
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d113323beeb97c3d6ee427ff89034f5ce5809f6a70d404817b2bdb1136bd9701
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Statistical mechanics and quantum entanglement
Hi everyone!

Jonathon Riddell here. Today we take a closer look at how entanglement entropy plays a role in the emergence of statistical mechanics. We find that the entanglement entropy between a part of a system obeying eigenstate thermalization, and the rest of the system, scales like the size of the subsystem. This is called a "volume law" and is a key indicator that an energy eigenstate may obey the Eigenstate Thermalization Hypothesis.


First video on ETH:
https://youtu.be/p4fpzYD_WRU

Density matrices:
https://youtu.be/1tserF6VGqI

To view my publication history:
https://scholar.google.com/citations?user=V2UZXZMAAAAJ&hl=en

00:00 Intro and announcements
02:30 Constructing our Hilbert space
08:24 Density matrix essentials
13:17 Reviewing ETH prediction
15:30 Entanglement for pure states
18:23 Von Neumann entropy and scaling
21:51 Entanglement entropy volume law
...
https://www.youtube.com/watch?v=Y6OQagIXAHU
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English
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