Universal behavior beyond multifractality of wave-functions at measurement–induced phase transitions. (arXiv:2109.06882v1 [cond-mat.stat-mech])

Home Latest Papers Latest arXiv Quantum Physics Universal behavior beyond multifractality of wave-functions at measurement–induced phase transitions. (arXiv:2109.06882v1 [cond-mat.stat-mech])

  • This topic is empty.
Viewing 1 post (of 1 total)
  • Author
    Posts
  • #112887
    admin
    Site Adminstrator
    • University or Employer: Loughborough University
    • Country: UK
    • Occupation: Site Owner
    @admin
    Up
    0
    Down

    We numerically investigate the structure of many-body wave functions of 1D
    random quantum circuits with local measurements employing the participation
    entropies. The leading term in system size dependence of participation
    entropies indicates a multifractal scaling of the wave-functions at any
    non-zero measurement rate. The sub-leading term contains universal information
    about measurement–induced phase transitions and plays the role of an order
    parameter, being non-zero in the error-correcting phase and vanishing in the
    quantum Zeno phase. We provide an analytical interpretation of this behavior
    expressing the participation entropy in terms of partition functions of
    classical statistical models in 2D.

Viewing 1 post (of 1 total)
  • You must be logged in to reply to this topic.