RT info:eu-repo/semantics/bachelorThesis
T1 An educated review of "Quantum work statistics, Loschmidt echo and information scrambling".
A1 González Padrón, Eduardo
AB The formulation of quantum work statistics as a dynamical problem through theLoschmidt echo is at the heart of this work. An introduction to each of theseconcepts is presented together with the notion of information scrambling, whichextends the scope of this work to areas such as quantum chaos or even black holephysics. Using the paper of A. Chenu et al. [1] as the guidelines, we first showthat the work statistics associated with an arbitrary driving protocol of an isolated quantum system in a generic initial state is equivalent to the Loschmidt echodynamics of a purified density matrix in an enlarged Hilbert space. When the initial state is thermal, the purification leads to a thermofield double state, which isused to describe eternal black holes through the AdS/CFT correspondence, oftenargued to be the fastest information scramblers. The field of quantum chaoticsystems is shown to emerge naturally from the previous content, and a full description of it in terms of Random Matrix Theory is also presented. Numerical andanalytical results are finally obtained for the quantities introduced after imposingtime-reversal symmetry in our problem, hence selecting the Gaussian OrthogonalEnsemble as the framework within we shall take our averages.
YR 2020
FD 2020
LK http://riull.ull.es/xmlui/handle/915/20664
UL http://riull.ull.es/xmlui/handle/915/20664
LA es
DS Repositorio institucional de la Universidad de La Laguna
RD 15-nov-2024