Polariton spectrum of the Dicke-Ising model

Polariton spectrum of the Dicke-Ising model
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DOI:
10.1103/physreva.96.053861
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发表时间:
2017-07
期刊:
影响因子:
2.9
通讯作者:
E. Cortese;L. Garziano;S. Liberato
E. Cortese;L. Garziano;S. Liberato
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
E. Cortese;L. Garziano;S. Liberato

文献摘要

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Dicke-Ising模型描述了腔量子电动力学设置,其中偶极子不仅与光子腔场耦合,而且通过偶极子-偶极子相互作用相互耦合。在这项工作中,我们diagonalise这样一个模型的玻色子polaritonic运营商的任意大的值的光物质耦合和偶极-偶极相互作用的值,直到发病的铁磁伊辛相变。为了完成这一任务,我们利用高阶项的Holstein-Primakoff变换,开发一种通用的方法,该方法允许解决正常相位的伊辛模型中的玻色子激发大值的偶极-偶极相互作用。我们的研究结果揭示了偶极-偶极和轻物质耦合强度之间的相互作用,以及它们对虚激发的影响,当相互作用变得与裸跃迁频率相当时,虚激发填充基态。
The Dicke-Ising model describes cavity quantum electrodynamics setups in which dipoles couple not only with the photonic cavity field but also to each other through dipole-dipole interaction. In this work we diagonalise such a model in terms of bosonic polaritonic operators for arbitrarily large values of the light-matter coupling and for values of the dipole-dipole interaction until the onset of the ferromagnetic Ising phase transition. In order to accomplish this task we exploit higher order terms of the Holstein-Primakoff transformation, developing a general method which allows to solve the normal phase of the Ising model in term of bosonic excitations for large values of the dipole-dipole interaction. Our results shed light on the interplay between the dipole-dipole and the light-matter coupling strengths, and their effect on the virtual excitations which populate the ground-state when the interactions become comparable with the bare transition frequency.