Analytic results for a quantum quench from free to hard-core one-dimensional bosons
Márton KormosDipartimento di Fisica dell'Università di Pisa and INFN, 56127 Pisa, ItalyMario ColluraDipartimento di Fisica dell'Università di Pisa and INFN, 56127 Pisa, ItalyPasquale CalabreseDipartimento di Fisica dell'Università di Pisa and INFN, 56127 Pisa, Italy
2014en
ABI
Abstract
It is widely believed that the stationary properties after a quantum quench in integrable systems can be described by a generalized Gibbs ensemble (GGE), even if all of the analytical evidence is based on free theories in which the pre- and postquench modes are linearly related. In contrast, we consider the experimentally relevant quench of the one-dimensional Bose gas from zero to infinite interaction, in which the relation between modes is nonlinear, and consequently Wick's theorem does not hold. We provide exact analytical results for the time evolution of the dynamical density-density correlation function at any time after the quench and we prove that its stationary value is described by a GGE in which Wick's theorem is restored.
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Cited by 40 references