Perturbative post-quench overlaps in quantum field theory

Kristóf Hódsági, Márton Kormos, G. Takács

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

In analytic descriptions of quantum quenches, the overlaps between the initial pre-quench state and the eigenstates of the time evolving Hamiltonian are crucial ingredients. We construct perturbative expansions of these overlaps in quantum field theories where either the pre-quench or the post-quench Hamiltonian is integrable. Using the E8 Ising field theory for concrete computations, we give explicit expressions for the overlaps up to second order in the quench size, and verify our results against numerical results obtained using the Truncated Conformal Space Approach. We demonstrate that the expansion using the post-quench basis is very effective, but find some serious limitations for the alternative approach using the pre-quench basis.

Original languageEnglish
Article number47
JournalJournal of High Energy Physics
Volume2019
Issue number8
DOIs
Publication statusPublished - Aug 1 2019

Keywords

  • Bethe Ansatz
  • Boundary Quantum Field Theory
  • Conformal Field Theory
  • Integrable Field Theories

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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