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DTSTAMP:20260403T220350Z
UID:5bbb233abb3ec328969900@ist.ac.at
DTSTART:20190219T110000
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DESCRIPTION:Speaker: Keith Fratus\nhosted by Misha Lemeshko\nAbstract: A ce
 ntral question in the subject of isolated quantum dynamics is whether an i
 solated quantum system\, initially prepared in a pure\, out of equilibrium
  state\, will come to thermal equilibrium under its own internal dynamics.
  Recent experiments have shown that quite generically\, isolated quantum s
 ystems can and do come to a state of local thermal equilibrium\, in which 
 measurements made on subsystems are indistinguishable from those made on a
  system described by a thermal density matrix. The Eigenstate Thermalizati
 on Hypothesis has been proposed as the mechanism for such a phenomenon whe
 n the global time evolution is unitary\, thus preventing true thermalizati
 on of the global quantum state [1]. The striking conclusions of ETH is tha
 t individual energy eigenstates of a non-integrable quantum system contain
  information about the thermodynamics of the system at the relevant energy
  scale [2]. Our focus concerns what this information reveals about the beh
 aviour of a quantum\, nonintegrable system with a second-order phase trans
 ition at finite temperature. Previous work has suggested that ETH should a
 lso be expected to hold in such systems [3-5]\, and in our most recent wor
 k [6]\, we argue that if such a system satisfies ETH\, then there should e
 xist individual energy eigenstates of this system that can diagnose the ex
 istence of its phase transition\, and which also contain quantitative info
 rmation about its critical behaviour\, without any knowledge of the origin
 al Hamiltonian itself. In this seminar\, I will discuss ETH in broad detai
 l\, along with our recent work on the subject of extracting critical pheno
 menon from one energy eigenstate. [1] Srednicki Phys Rev E 50 (1994) 888[2
 ] Garrison and Grover Phys. Rev. X 8\, 021026 (2018)[3] Fratus and Srednic
 ki Phys. Rev. E 92\, 040103 (2015)[4] Mondaini et al Phys. Rev. E 93\, 032
 104 (2016)[5] Fratus and Srednicki arXiv:1611.03992   [6] Fratus and Truon
 g arXiv:1810.11092
LOCATION:Big Seminar room Ground floor / Office Bldg West (I21.EG.101)\, IS
 TA
ORGANIZER:msoronda@ist.ac.at
SUMMARY:Keith Fratus: Does a Single Eigenstate of a Hamiltonian Encode the 
 Critical Behaviour of its Finite-Temperature Phase Transition?
URL:https://talks-calendar.ista.ac.at/events/1778
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