Journal
PHYSICAL REVIEW LETTERS
Volume 106, Issue 22, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.106.227203
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Funding
- EPSRC by ESF network INSTANS [EP/D050952/1]
- EPSRC [EP/D050952/1] Funding Source: UKRI
- Engineering and Physical Sciences Research Council [EP/D050952/1] Funding Source: researchfish
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We consider the time evolution of observables in the transverse-field Ising chain after a sudden quench of the magnetic field. We provide exact analytical results for the asymptotic time and distance dependence of one-and two-point correlation functions of the order parameter. We employ two complementary approaches based on asymptotic evaluations of determinants and form-factor sums. We prove that the stationary value of the two-point correlation function is not thermal, but can be described by a generalized Gibbs ensemble (GGE). The approach to the stationary state can also be understood in terms of a GGE. We present a conjecture on how these results generalize to particular quenches in other integrable models.
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