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arXiv 1604.04433quant-ph
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量子模拟与光的多体物理

Quantum simulations and many-body physics with light

Changsuk Noh, Dimitris G. Angelakis

摘要:

在这篇评论中,我们讨论了工作领域的量子模拟和多体物理与光,从早期的建议平衡模型的最近的作品在驱动耗散平台。我们首先描述了Jaynes-Cummings-哈伯德模型和相应的光子阻塞诱导的Mott跃迁的基础工作,并继续讨论了在耦合谐振器阵列(CRA)中模拟有效自旋模型和分数量子霍尔态的建议。我们还分析了最近的努力,研究出的平衡多体效应,使用驱动CRA,包括光子费米化和结晶驱动环的CRA以及其他动力学和瞬态现象的预测。我们试图总结一些相对较新的结果预测异国情调的阶段,如超固体和马约拉纳模式,然后转移我们的注意力,涉及一维非线性慢光设置的发展。在那里描述了强关联相的模拟,描述了Tonks-Girardeau气体、Luttinger液体和相互作用的相对论费米子模型。我们回顾了主要的理论结果,并简要概述了最近的发展正在进行的实验工作,涉及不同的平台电路QED,光子晶体和纳米光子光纤与冷原子接口。

英文摘要:

In this review we discuss the works in the area of quantum simulation and many-body physics with light, from the early proposals on equilibrium models to the more recent works in driven dissipative platforms. We start by describing the founding works on Jaynes-Cummings-Hubbard model and the corresponding photon-blockade induced Mott transitions and continue by discussing the proposals to simulate effective spin models and fractional quantum Hall states in coupled resonator arrays (CRAs). We also analyze the recent efforts to study out-of-equilibrium many-body effects using driven CRAs, including the predictions for photon fermionization and crystallization in driven rings of CRAs as well as other dynamical and transient phenomena. We try to summarise some of the relatively recent results predicting exotic phases such as super-solidity and Majorana like modes and then shift our attention to developments involving one dimensional nonlinear slow light setups. There the simulation of strongly correlated phases characterising Tonks-Girardeau gases, Luttinger liquids, and interacting relativistic fermionic models is described. We review the major theory results and also briefly outline recent developments in ongoing experimental efforts involving different platforms in circuit QED, photonic crystals and nanophotonic fibers interfaced with cold atoms.

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