arXiv 1705.044392017-05-12quant-ph

受驱动耗散耦合谐振器阵列中的非平衡物理

Out-of-equilibrium physics in driven dissipative coupled resonator arrays

Changsuk Noh, Stephen R. Clark, Dieter Jaksch, Dimitris G. Angelakis

备注：: Chapter that appeared in "Quantum Simulations with Photons and Polaritons: Merging Quantum Optics with Condensed Matter Physics" edited by D.G.Angelakis, Quantum Science and Technology Series, Springer 2017
DOI：: 10.1007/978-3-319-52025-4_3

摘要：

耦合谐振器阵列已被证明表现出有趣的多体物理，包括莫特和分数霍尔态的光子。这些光子量子模拟器和它们的冷原子对器之间的主要区别之一在于它们的光子激发的耗散性质。自然的等离态是指腔内没有光子.因此，用外部驱动器泵浦系统是必要的，以补偿损失并实现非平凡状态。这里的外部驱动可以很容易地调整为非相干、相干或完全量子，为探索许多其他方法无法触及的身体状态开辟了道路。在这一章中，我们回顾了一些在驱动耗散耦合谐振器阵列中出现的物理现象，包括光子费米子化，结晶，以及光子量子霍尔物理平衡。我们首先简要描述可能的实验候选人，以实现耦合谐振器阵列以及两个理论模型，捕捉他们的物理，Jaynes-Cummings-Hubbard和Bose-Hubbard哈密顿。简要回顾了分析和复杂的数值方法，需要解决这些系统。

英文摘要：

Coupled resonator arrays have been shown to exhibit interesting many- body physics including Mott and Fractional Hall states of photons. One of the main differences between these photonic quantum simulators and their cold atoms coun- terparts is in the dissipative nature of their photonic excitations. The natural equi- librium state is where there are no photons left in the cavity. Pumping the system with external drives is therefore necessary to compensate for the losses and realise non-trivial states. The external driving here can easily be tuned to be incoherent, coherent or fully quantum, opening the road for exploration of many body regimes beyond the reach of other approaches. In this chapter, we review some of the physics arising in driven dissipative coupled resonator arrays including photon fermionisa- tion, crystallisation, as well as photonic quantum Hall physics out of equilibrium. We start by briefly describing possible experimental candidates to realise coupled resonator arrays along with the two theoretical models that capture their physics, the Jaynes-Cummings-Hubbard and Bose-Hubbard Hamiltonians. A brief review of the analytical and sophisticated numerical methods required to tackle these systems is included.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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英文摘要：

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