Non-equilibrium many-body effects in driven nonlinear resonator arrays
Non-equilibrium many-body effects in driven nonlinear resonator arrays
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DOI：
10.1088/1367-2630/14/10/103025
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发表时间：
2012-10-16
影响因子：
3.3
通讯作者：
Angelakis, D. G.
中科院分区：
文献类型：
--
作者：
Grujic, T.;Clark, S. R.;Angelakis, D. G.
研究了光驱动耗散耦合谐振器阵列的非平衡行为。假定每个谐振器通过Jaynes-Cummings相互作用与一个二能级系统耦合，计算了系统在相干泵浦和耗散作用下的多体稳态行为。我们提出并分析了不同参数下的多体相位，这些量包括总激发数、发射光子谱和光子相干函数。同时，我们还比较和对比了假设腔中的局域非线性是由玻色-哈伯德(BH)模型所描述的一般克尔效应而不是Jaynes-Cummings相互作用产生的系统的预期行为。我们发现，即使相应的非线性具有相似的强度，这两个模型产生的实验可达可观测的行为对于真实的相互作用区域也是不同的。我们详细地分析了Jaynes-Cummings-Hubbard(JCH)模型中可用的额外特征，这些特征源于激发的混合性质，并研究了BH近似忠实地匹配JCH物理的区域。我们发现，后者对于光-物质耦合和超出当前技术范围的损耗的值是正确的。在整个研究过程中，我们工作在弱抽运、完全量子力学区域，其中平均场理论等方法无效，而是使用量子轨迹和时间演化块抽取算法的组合来计算相关的稳态可观测值。在我们的研究中，我们假设中小尺寸的阵列(从3到16个位置)和耦合与耗散率的比值g/伽马值类似于20，这使得我们的结果可以在电路QED中的当前设计和不久的将来的光子晶体装置中实现。
We study the non-equilibrium behavior of optically driven dissipative coupled resonator arrays. Assuming each resonator is coupled with a two-level system via a Jaynes-Cummings interaction, we calculate the many-body steady state behavior of the system under coherent pumping and dissipation. We propose and analyze the many-body phases using experimentally accessible quantities such as the total excitation number, the emitted photon spectra and photon coherence functions for different parameter regimes. In parallel, we also compare and contrast the expected behavior of this system assuming the local nonlinearity in the cavities is generated by a generic Kerr effect as described by the Bose-Hubbard (BH) model rather than a Jaynes-Cummings interaction. We find that the behavior of the experimentally accessible observables produced by the two models differs for realistic regimes of interactions even when the corresponding nonlinearities are of similar strength. We analyze in detail the extra features available in the Jaynes-Cummings-Hubbard (JCH) model originating from the mixed nature of the excitations and investigate the regimes where the BH approximation would faithfully match the JCH physics. We find that the latter is true for values of the light-matter coupling and losses beyond the reach of current technology. Throughout the study we operate in the weak pumping, fully quantum mechanical regime where approaches such as mean field theory fail, and instead use a combination of quantum trajectories and the time evolving block decimation algorithm to compute the relevant steady state observables. In our study we have assumed small to medium size arrays (from 3 up to 16 sites) and values of the ratio of coupling to dissipation rate g/gamma similar to 20, which makes our results implementable with current designs in circuit QED and with near future photonic crystal set ups.