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Title:  A journey into localization, integrability and thermalization
Author:  Andrea De Luca
As Contributor:   Andrea De Luca
Type: Ph.D.
Field: Physics
  • Quantum Physics
Approach: Theoretical
Degree granting institution:  Sissa
Supervisor(s): Antonello Scardicchio, Giuseppe Mussardo
Defense date:  2012-09-17


We present here the results obtained during my PhD work. We report the study of the many body localization transition in a spin chain and the breaking of ergodicity measured in terms of return probability in a state evolution. Moreover, we introduce the Richardson model, an exactly solvable model, that turns out to be suitable for investigating the many-body localized phase. Then we turn to the analysis of the quench problem in an ensemble of random matrices. We analyze the thermalization properties and the validity of the Eigenstate Thermalization Hypothesis for the typical case, where the quench parameter explicitly breaks a Z_2 symmetry.

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