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arxiv 1203.5080 v2 pith:J3WM2V3Q submitted 2012-03-22 cond-mat.str-el cond-mat.stat-mechhep-th

Dynamics in the Ising field theory after a quantum quench

classification cond-mat.str-el cond-mat.stat-mechhep-th
keywords fieldisingquenchtheorycorrespondingdynamicsintegrablelimit
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We study the real-time dynamics of the order parameter $<\sigma(t)>$ in the Ising field theory after a quench in the fermion mass, which corresponds to a quench in the transverse field of the corresponding transverse field Ising chain. We focus on quenches within the ordered phase. The long-time behaviour is obtained analytically by a resummation of the leading divergent terms in a form-factor expansion for $<\sigma(t)>$. Our main result is the development of a method for treating divergences associated with working directly in the field theory limit. We recover the scaling limit of the corresponding result by Calabrese et al. [Phys. Rev. Lett. \textbf{106}, 227203 (2011)], which was obtained for the lattice model. Our formalism generalizes to integrable quantum quenches in other integrable models.

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Cited by 2 Pith papers

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  1. Expectation values after an integrable boundary quantum quench

    hep-th 2026-05 unverdicted novelty 6.0

    A form factor framework is introduced to compute expectation values and time evolution after an integrable boundary quantum quench, applied to the Lee-Yang model at conformal and massive points with TCSA validation.

  2. Expectation values after an integrable boundary quantum quench

    hep-th 2026-05 unverdicted novelty 6.0

    A form-factor-based framework is introduced for expectation values after an integrable boundary quantum quench in the Lee-Yang model and validated numerically via adapted truncated conformal space approach.