Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 12, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP12(2019)079
Keywords
Field Theories in Lower Dimensions; Integrable Field Theories
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Funding
- EPSRC [EP/P006108/1]
- International Institute of Physics in Natal (Brazil)
- Emmy Noether Visiting Fellowship of the Perimeter Institute for Theoretical Physics
- Government of Canada through the Department of Innovation, Science and Economic Development
- Province of Ontario through the Ministry of Research, Innovation and Science
- Brazilian ministry MEC
- Brazilian ministry MCTIC
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We extend the branch point twist field approach for the calculation of entanglement entropies to time-dependent problems in 1+1-dimensional massive quantum field theories. We focus on the simplest example: a mass quench in the Ising field theory from initial mass m(0) to final mass m. The main analytical results are obtained from a perturbative expansion of the twist field one-point function in the post-quench quasi-particle basis. The expected linear growth of the Renyi entropies at large times mt >> 1 emerges from a perturbative calculation at second order. We also show that the Renyi and von Neumann entropies, in infinite volume, contain subleading oscillatory contributions of frequency 2m and amplitude proportional to (mt)(-3/2). The oscillatory terms are correctly predicted by an alternative perturbation series, in the pre-quench quasi-particle basis, which we also discuss. A comparison to lattice numerical calculations carried out on an Ising chain in the scaling limit shows very good agreement with the quantum field theory predictions. We also find evidence of clustering of twist field correlators which implies that the entanglement entropies are proportional to the number of subsystem boundary points.
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