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Luis Kruczenski
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Thermalization in isolated systems and black holes
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Black holes are thermal systems whose physics
is related, via the AdS/CFT correspondence,
to that of ordinary quantum systems. In
particular, generic gravity states collapse
into a black hole in the same way as, in
macroscopic systems, states thermalize. More
precisely, in a generic isolated quantum
macroscopic system, an arbitrary initial
state evolves towards a thermal state
where the expectation values of operators
are time-independent and given
by their microcanonical average. A hypothesis
that has been put forward to explain this
phenomenon is the so-called Eigenvalue Thermalization
Hypothesis (ETH). In this talk I discuss
numerical evidence for such hypothesis and
some physical insight on how it emerges.
I will also discuss possible applications
of this idea to the physics of black holes.
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