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驱动耗散玻色-哈伯德模型中的稳态相和隧穿诱导不稳定性

Steady-state phases and tunneling-induced instabilities in the driven dissipative Bose-Hubbard model.

作者信息

Le Boité Alexandre, Orso Giuliano, Ciuti Cristiano

机构信息

Laboratoire Matériaux et Phénomènes Quantiques, Université Paris Diderot-Paris 7 and CNRS, Bâtiment Condorcet, 10 rue Alice Domon et Léonie Duquet, 75205 Paris Cedex 13, France.

出版信息

Phys Rev Lett. 2013 Jun 7;110(23):233601. doi: 10.1103/PhysRevLett.110.233601. Epub 2013 Jun 4.

DOI:10.1103/PhysRevLett.110.233601
PMID:25167489
Abstract

We determine the steady-state phases of a driven-dissipative Bose-Hubbard model, describing, e.g., an array of coherently pumped nonlinear cavities with a finite photon lifetime. Within a mean-field master equation approach using exact quantum solutions for the one-site problem, we show that the system exhibits a tunneling-induced transition between monostable and bistable phases. We characterize the corresponding quantum correlations, highlighting the essential differences with respect to the equilibrium case. We also find collective excitations with a flat energy-momentum dispersion over the entire Brillouin zone that trigger modulational instabilities at specific wave vectors.

摘要

我们确定了一个受驱动耗散的玻色-哈伯德模型的稳态相,该模型描述了例如一系列具有有限光子寿命的相干泵浦非线性腔。在使用单格点问题的精确量子解的平均场主方程方法中,我们表明该系统在单稳态和双稳态相之间表现出隧穿诱导的转变。我们表征了相应的量子关联,突出了与平衡情况的本质区别。我们还发现了在整个布里渊区具有平坦能量-动量色散的集体激发,这些激发在特定波矢处引发调制不稳定性。

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