低密度Holstein-Primakoff膨胀的预热化
Prethermalization from a low-density Holstein-Primakoff expansion
摘要：
我们考虑量子伊辛链的横向磁场猝灭后产生的非平衡动力学，以及长程相互作用项的突然开启。量子淬火后的动力学映射到一个完全连接的模型的硬核玻色子，一个合适的组合后的Holstein-Primakoff变换和低密度膨胀的准粒子注入淬火。这种映射适用于广泛的一类初始状态和淬火不跨越临界点的横向场伊辛模型。然后，我们研究了代数松弛时间的一些可观的亚稳态，预热状态，这成为渐近稳定状态的热力学极限。
英文摘要：
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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