驱动Ising链中的量子猝灭

N. Robinson, I. P. Castillo, E. Guzm'an-Gonz'alez
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引用次数: 2

摘要

我们考虑由振荡横向磁场驱动的伊辛链。对于某些参数域,我们揭示了问题中隐藏的可积结构,从而可以获得该驱动量子系统的\textit{精确时间演化}。我们计算时间进化的一点和两点函数后,淬火,激活驱动。证明了该模型在没有能量守恒的情况下不会加热到无限温度,并进一步讨论了推广到一组驱动哈密顿量,这些哈密顿量在没有可积性和无序性的情况下不会加热到无限温度。详细研究的特定模型还提供了通过在量子链中驱动实现奇异物理(如E8摄动共形场理论)的途径,否则这些行为永远不会实现。特别地,我们在数值上证实了介子激发质量的比值是由黄金比例给出的。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Quantum quench in a driven Ising chain
We consider the Ising chain driven by oscillatory transverse magnetic fields. For certain parameter regimes, we reveal a hidden integrable structure in the problem, which allows access to the \textit{exact time-evolution} in this driven quantum system. We compute time-evolved one- and two-point functions following a quench that activates the driving. It is shown that this model does not heat up to infinite temperature, despite the absence of energy conservation, and we further discuss the generalization to a family of driven Hamiltonians that do not suffer heating to infinite temperature, despite the absence of integrability and disorder. The particular model studied in detail also presents a route for realising exotic physics (such as the E8 perturbed conformal field theory) via driving in quantum chains that could otherwise never realise such behaviour. In particular we numerically confirm that the ratio of the meson excitations masses is given by the golden ratio.
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