PIRSA:10050064

Unitary Equilibrations: Temporal and Hilbert Space Typicality Loschmidt Echo

Zanardi, P. (2010). Unitary Equilibrations: Temporal and Hilbert Space Typicality Loschmidt Echo. Perimeter Institute. https://pirsa.org/10050064

Zanardi, Paolo. Unitary Equilibrations: Temporal and Hilbert Space Typicality Loschmidt Echo. Perimeter Institute, May. 25, 2010, https://pirsa.org/10050064 

          @misc{ pirsa_PIRSA:10050064,
            doi = {10.48660/10050064},
            url = {https://pirsa.org/10050064},
            author = {Zanardi, Paolo},
            keywords = {Quantum Information},
            language = {en},
            title = {Unitary Equilibrations: Temporal and Hilbert Space Typicality Loschmidt Echo},
            publisher = {Perimeter Institute},
            year = {2010},
            month = {may},
            note = {PIRSA:10050064 see, \url{https://pirsa.org}}
          }

Paolo Zanardi Institute for Scientific Interchange (ISI) Foundation

DOI 10.48660/10050064
Collection
Talk Type Conference
Subject

Abstract

Closed quantum systems evolve unitarily and therefore cannot converge in a strong sense to an equilibrium state starting out from a generic pure state. Nevertheless for large system size one observes temporal typicality. Namely, for the overwhelming majority of the time instants, the statistics of observables is practically indistinguishable from an effective equilibrium one. In this talk we will discuss he Loschmidt echo (LE) to study this sort of unitary equilibration after a quench. In particular we ll address the issue of typicality with respect the initial state preparation and the influence of quantum criticality of the long-time probability distribution of LE.