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arXiv · 1609.06361

Prethermalization from a low-density Holstein-Primakoff expansion

M. Marcuzzi·J. Marino·A. Gambassi·A. Silva
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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.

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M. Marcuzzi, J. Marino, A. Gambassi, A. Silva. 2016-09-20. Prethermalization from a low-density Holstein-Primakoff expansion. https://doi.org/10.1103/physrevb.94.214304

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