4.4 Article

Entanglement growth after a global quench in free scalar field theory

Journal

JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 11, Pages -

Publisher

SPRINGER
DOI: 10.1007/JHEP11(2016)166

Keywords

Conformal Field Theory; Field Theories in Higher Dimensions; Integrable Field Theories

Funding

  1. Fannie and John Hertz Foundation
  2. Stanford Graduate Fellowship program
  3. Institute of Cosmology at Tufts University
  4. U.S. Department of Energy [DE-SC0016244]
  5. MIT Department of Physics under U.S. Department of Energy grant [DE-SC00012567]
  6. U.S. Department of Energy (DOE) [DE-SC0016244] Funding Source: U.S. Department of Energy (DOE)

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We compute the entanglement and Renyi entropy growth after a global quench in various dimensions in free scalar field theory. We study two types of quenches: a boundary state quench and a global mass quench. Both of these quenches are investigated for a strip geometry in 1, 2, and 3 spatial dimensions, and for a spherical geometry in 2 and 3 spatial dimensions. We compare the numerical results for massless free scalars in these geometries with the predictions of the analytical quasiparticle model based on EPR pairs, and find excellent agreement in the limit of large region sizes. At subleading order in the region size, we observe an anomalous logarithmic growth of entanglement coming from the zero mode of the scalar.

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