SciPost Physics

SciPost Phys. 5, 027 (2018) · published 25 September 2018

• doi: 10.21468/SciPostPhys.5.3.027
• pdf
• BiBTeX
• RIS
• Submissions/Reports
• 

Abstract

We numerically simulate the time evolution of the Ising field theory after quenches starting from the $E_8$ integrable model using the Truncated Conformal Space Approach. The results are compared with two different analytic predictions based on form factor expansions in the pre-quench and post-quench basis, respectively. Our results clarify the domain of validity of these expansions and suggest directions for further improvement. We show for quenches in the $E_8$ model that the initial state is not of the integrable pair state form. We also construct quench overlap functions and show that their high-energy asymptotics are markedly different from those constructed before in the sinh/sine-Gordon theory, and argue that this is related to properties of the ultraviolet fixed point.

• Robinson et al., Signatures of rare states and thermalization in a theory with confinement
  Phys. Rev. B 99, 195108 (2019) [Crossref]
• Horvath et al., Inhomogeneous quantum quenches in the sine-Gordon theory
  SciPost Phys. 12, 144 (2022) [Crossref]
• James et al., Nonthermal States Arising from Confinement in One and Two Dimensions
  Phys. Rev. Lett. 122, 130603 (2019) [Crossref]
• Szász-Schagrin et al., Quantum quenches in an interacting field theory: Full quantum evolution versus semiclassical approximations
  Phys. Rev. B 105, 014305 (2022) [Crossref]
• Lencsés et al., Chiral entanglement in massive quantum field theories in 1+1 dimensions
  J. High Energ. Phys. 2019, 177 (2019) [Crossref]
• Cortés Cubero et al., Lack of thermalization in (1+1)-d quantum chromodynamics at large N c
  J. Stat. Mech. 2019, 123101 (2019) [Crossref]
• Emonts et al., Reduced density matrix and entanglement of interacting quantum field theories with Hamiltonian truncation
  Phys. Rev. Research 4, 033039 (2022) [Crossref]
• Najafi et al., Return amplitude after a quantum quench in the XY chain
  J. Stat. Mech. 2019, 083102 (2019) [Crossref]
• Robinson et al., On computing non-equilibrium dynamics following a quench
  SciPost Phys. 11, 104 (2021) [Crossref]
• Robertson et al., Decay of long-lived oscillations after quantum quenches in gapped interacting quantum systems
  Phys. Rev. A 109, 032208 (2024) [Crossref]
• Robinson et al., Quantum quench in a driven Ising chain
  Phys. Rev. B 103, L140407 (2021) [Crossref]
• Bañuls et al., Quantum information perspective on meson melting
  Phys. Rev. D 108, 076016 (2023) [Crossref]
• Anand et al., Nonperturbative dynamics of (2+1)d ϕ4-theory from Hamiltonian truncation
  J. High Energ. Phys. 2021, 190 (2021) [Crossref]
• Pomponio et al., Quasi-particle spectrum and entanglement generation after a quench in the quantum Potts spin chain
  J. Stat. Mech. 2019, 013104 (2019) [Crossref]
• Hódsági et al., Perturbative post-quench overlaps in quantum field theory
  J. High Energ. Phys. 2019, 47 (2019) [Crossref]
• Horváth et al., Chirally factorised truncated conformal space approach
  Computer Physics Communications 277, 108376 108376 (2022) [Crossref]
• Szász-Schagrin et al., False vacuum decay in the ( 1+1 )-dimensional φ4 theory
  Phys. Rev. D 106, 025008 (2022) [Crossref]
• Kukuljan, Continuum approach to real time dynamics of(1+1)Dgauge field theory: Out of horizon correlations of the Schwinger model
  Phys. Rev. D 104, L021702 (2021) [Crossref]
• Milsted et al., Collisions of False-Vacuum Bubble Walls in a Quantum Spin Chain
  PRX Quantum 3, 020316 (2022) [Crossref]
• Horváth et al., Nonequilibrium time evolution and rephasing in the quantum sine-Gordon model
  Phys. Rev. A 100, 013613 (2019) [Crossref]
• Bañuls et al., From spin chains to real-time thermal field theory using tensor networks
  Phys. Rev. Research 2, 033301 (2020) [Crossref]
• Hódsági et al., Kibble–Zurek mechanism in the Ising Field Theory
  SciPost Phys. 9, 055 (2020) [Crossref]
• Fabiani et al., Ultrafast dynamics of entanglement in Heisenberg antiferromagnets
  Phys. Rev. B 105, 094438 (2022) [Crossref]
• Knaute et al., Relativistic meson spectra on ion-trap quantum simulators
  Phys. Rev. A 105, 022616 (2022) [Crossref]
• Knaute, Meson content of entanglement spectra after integrable and nonintegrable quantum quenches
  Phys. Rev. B 107, L100303 (2023) [Crossref]
• Castro-Alvaredo et al., Branch point twist field form factors in the sine-Gordon model I: Breather fusion and entanglement dynamics
  SciPost Phys. 10, 132 (2021) [Crossref]
• Collura et al., Dynamical manifestation of the Gibbs paradox after a quantum quench
  Phys. Rev. A 98, 053610 (2018) [Crossref]
• Hudomal et al., Integrability Breaking and Bound States in Google’s Decorated XXZ Circuits
  PRX Quantum 5, 010316 (2024) [Crossref]
• Castro-Alvaredo et al., Entanglement dynamics after a quench in Ising field theory: a branch point twist field approach
  J. High Energ. Phys. 2019, 79 (2019) [Crossref]
• Lájer et al., Krylov spaces for truncated spectrum methodologies
  Phys. Rev. D 109, 045016 (2024) [Crossref]
• Castro-Alvaredo et al., Entanglement Oscillations near a Quantum Critical Point
  Phys. Rev. Lett. 124, 230601 (2020) [Crossref]
• Delfino et al., Persistent oscillations after quantum quenches in d dimensions
  Nuclear Physics B 974, 115643 115643 (2022) [Crossref]