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arXiv 1802.09549quant-phcond-mat.mes-hall
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电路量子电动力学中的双曲晶格

Hyperbolic Lattices in Circuit Quantum Electrodynamics

Alicia J. Kollár, Mattias Fitzpatrick, Andrew A. Houck

摘要:

经过近二十年的研究和发展,超导电路已经成为量子计算和量子模拟的丰富平台。超导共面波导(CPW)谐振器的晶格已经被示出为产生用于微波光子的人造材料,其中可以经由非线性谐振器材料引入弱相互作用或者经由量子比特-谐振器耦合引入强相互作用。在这里,我们强调了以前被忽视的属性,这些晶格位置是可变形的,并允许实现紧束缚晶格,这是无法实现的,即使在传统的固态系统。特别是,我们表明,网络的CPW谐振器可以创建一类新的材料,构成经常在一个有效的双曲空间与恒定的负曲率晶格。我们提出了一系列的kagome晶格的双曲类似物的数值模拟,显示出不寻常的态密度与光谱孤立的简并平带。我们还提出了一个证明的原则,这些格的实验实现。本文代表了在片上量子模拟的材料科学和相互作用的粒子在弯曲的空间的第一步。

英文摘要:

After close to two decades of research and development, superconducting circuits have emerged as a rich platform for both quantum computation and quantum simulation. Lattices of superconducting coplanar waveguide (CPW) resonators have been shown to produce artificial materials for microwave photons, where weak interactions can be introduced either via non-linear resonator materials or strong interactions via qubit-resonator coupling. Here, we highlight the previously-overlooked property that these lattice sites are deformable and allow the realization of tight-binding lattices which are unattainable, even in conventional solid-state systems. In particular, we show that networks of CPW resonators can create a new class of materials which constitute regular lattices in an effective hyperbolic space with constant negative curvature. We present numerical simulations of a series of hyperbolic analogs of the kagome lattice which show unusual densities of states with a spectrally-isolated degenerate flat band. We also present a proof-of-principle experimental realization of one of these lattices. This paper represents the first step towards on-chip quantum simulation of materials science and interacting particles in curved space.

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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