Operator content of entanglement spectra in the transverse field Ising chain after global quenches

Jacopo Surace, Luca Tagliacozzo, Erik Tonni

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We consider the time evolution of the gaps of the entanglement spectrum for a block of consecutive sites in finite transverse field Ising chains after sudden quenches of the magnetic field. We provide numerical evidence that, whenever we quench at or across the quantum critical point, the time evolution of the ratios of these gaps allows us to obtain universal information. They encode the low-lying gaps of the conformal spectrum of the Ising boundary conformal field theory describing the spatial bipartition within the imaginary time path integral approach to global quenches at the quantum critical point.
Original languageEnglish
Article number241107(R)
Number of pages6
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number24
Publication statusPublished - 15 Jun 2020


  • entanglement spectrum
  • CFT
  • universality
  • critical point
  • ising

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