Prethermalization from a low-density Holstein-Primakoff expansion
Abstract
We consider the non-equilibrium dynamics arising after a quench of the transverse magnetic field of a quantum Ising chain, together with the sudden switch-on of a long-range interaction term. The dynamics after the quantum quench is mapped onto a fully-connected model of hard-core bosons, after a suitable combination of a Holstein-Primakoff transformation and of a low-density expansion in the quasi-particles injected by the quench. This mapping holds for a broad class of initial states and for quenches which do not cross the critical point of the transverse field Ising model. We then study the algebraic relaxation in time of a number of observables towards a metastable, pre-thermal state, which becomes the asymptotic steady state in the thermodynamic limit.
Cite
@article{arxiv.1609.06361,
title = {Prethermalization from a low-density Holstein-Primakoff expansion},
author = {M. Marcuzzi and J. Marino and A. Gambassi and A. Silva},
journal= {arXiv preprint arXiv:1609.06361},
year = {2016}
}
Comments
17 pages, 5 figures; close to published version