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arXiv 1202.3240cond-mat.supr-conquant-ph
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非线性超导传输线谐振器网络

Networks of nonlinear superconducting transmission line resonators

Martin Leib, Frank Deppe, Achim Marx, Rudolf Gross, Michael Hartmann

摘要:

我们研究了一个耦合的超导传输线谐振器网络,每个谐振器都是非线性的,与谐振器的奇通量模式耦合的电容并联约瑟夫森结。由此产生的本征模谱示出了分流结的等离子体模式和奇谐振器模式之间的反交叉。值得注意的是,我们发现,该组合设备可以继承完整的非线性结,允许作为一个谐振子的克尔非线性的描述。使用dc SQUID而不是单个结,非线性度可以在10 kHz和4 MHz之间调谐,同时保持实际器件参数的几GHz谐振频率。这种非线性谐振器的阵列可以被认为是玻色-哈伯德哈密顿量的可扩展超导量子模拟器。该设备将能够访问强相关的制度,特别适合于调查量子多体动力学的相互作用粒子的驱动和耗散的影响下。

英文摘要:

We investigate a network of coupled superconducting transmission line resonators, each of them made nonlinear with a capacitively shunted Josephson junction coupling to the odd flux modes of the resonator. The resulting eigenmode spectrum shows anticrossings between the plasma mode of the shunted junction and the odd resonator modes. Notably, we find that the combined device can inherit the complete nonlinearity of the junction, allowing for a description as a harmonic oscillator with a Kerr nonlinearity. Using a dc SQUID instead of a single junction, the nonlinearity can be tuned between 10 kHz and 4 MHz while maintaining resonance frequencies of a few gigahertz for realistic device parameters. An array of such nonlinear resonators can be considered a scalable superconducting quantum simulator for a Bose-Hubbard Hamiltonian. The device would be capable of accessing the strongly correlated regime and be particularly well suited for investigating quantum many-body dynamics of interacting particles under the influence of drive and dissipation.

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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