Prethermalization from a low-density Holstein-Primakoff expansion

Marcuzzi, Matteo; Marino, Jamir; Gambassi, Andrea; Silva, Alessandro

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.

Citation

Marcuzzi, M., Marino, J., Gambassi, A., & Silva, A. (2016). Prethermalization from a low-density Holstein-Primakoff expansion. Physical Review B, 94, Article 214304. https://doi.org/10.1103/PhysRevB.94.214304

• Journal Article Type: Article
• Acceptance Date: Dec 2, 2016
• Publication Date: Dec 16, 2016
• Deposit Date: Apr 21, 2017
• Publicly Available Date: Apr 21, 2017
• Journal: Physical Review B
• Print ISSN: 2469-9950
• Electronic ISSN: 2469-9969
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 94
• Article Number: 214304
• DOI: https://doi.org/10.1103/PhysRevB.94.214304
• Public URL: https://nottingham-repository.worktribe.com/output/833066
• Publisher URL: https://journals.aps.org/prb/abstract/10.1103/PhysRevB.94.214304