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Quantum Quench in the Transverse Field Ising Chain · Around

2011

Quantum Quench in the Transverse Field Ising Chain

Calabrese, Pasquale, Essler, Fabian H. L., Fagotti, Maurizio

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We consider the time evolution of observables in the transverse field Ising chain (TFIC) 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).

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D. Rossini et al., Phys. Rev. Lett. 102
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A. Faribault et al., J. Stat. Mech., P03018 (2009); V. Gritsev et al., ibid., P05012 (2010); P. Barmettler et al, Phys. Rev. Lett. 102
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F. H. L. Essler and R. M. Konik, Phys. Rev. B 78
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M. C. Banuls et al., Phys. Rev. Lett. 106
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F. Igloi and H. Rieger, Phys. Rev. Lett. 85
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