Cavity-Based Reservoir Engineering for Floquet-Engineered Superconducting Circuits,Physical Review Letters

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Cavity-Based Reservoir Engineering for Floquet-Engineered Superconducting Circuits
Physical Review Letters ( IF 8.1 ) Pub Date : 2022-11-30 , DOI: 10.1103/physrevlett.129.233601
Francesco Petiziol ₁ , André Eckardt ₁

Affiliation

Considering the example of superconducting circuits, we show how Floquet engineering can be combined with reservoir engineering for the controlled preparation of target states. Floquet engineering refers to the control of a quantum system by means of time-periodic forcing, typically in the high-frequency regime, so that the system is governed effectively by a time-independent Floquet Hamiltonian with novel interesting properties. Reservoir engineering, on the other hand, can be achieved in superconducting circuits by coupling a system of artificial atoms (or qubits) dispersively to pumped leaky cavities, so that the induced dissipation guides the system into a desired target state. It is not obvious that the two approaches can be combined, since reaching the dispersive regime, in which system and cavities exchange excitations only virtually, can be spoiled by driving-induced resonant transitions. However, working in the extended Floquet space and treating both system-cavity coupling as well as driving-induced excitation processes on the same footing perturbatively, we identify regimes, where reservoir engineering of targeted Floquet states is possible and accurately described by an effective time-independent master equation. We successfully benchmark our approach for the preparation of the ground state in a system of interacting bosons subjected to Floquet-engineered magnetic fields in different lattice geometries.

中文翻译：

Floquet 工程超导电路的基于空腔的储层工程

以超导电路为例，我们展示了如何将 Floquet 工程与储层工程相结合，以控制目标状态的准备。Floquet 工程指的是通过时间周期性强制来控制量子系统，通常在高频范围内，因此系统由具有新颖有趣特性的时间无关的 Floquet 哈密顿量有效控制。另一方面，通过将人造原子（或量子位）系统分散耦合到泵浦漏腔，可以在超导电路中实现油藏工程，从而诱导耗散引导系统进入所需的目标状态。这两种方法可以结合起来并不明显，因为达到了分散状态，其中系统和空腔仅虚拟地交换激发，可以被驱动引起的共振转换破坏。然而，在扩展的 Floquet 空间中工作并在同一基础上微扰地处理系统-腔耦合以及驱动引起的激励过程，我们确定了机制，其中目标 Floquet 状态的油藏工程是可能的，并且可以通过有效时间准确描述 -独立的主方程。我们成功地对我们的基态制备方法进行了基准测试，该系统中的相互作用玻色子在不同晶格几何形状中受到 Floquet 工程磁场的影响。其中目标 Floquet 状态的油藏工程是可能的，并且可以通过有效的与时间无关的主方程准确描述。我们成功地对我们的基态制备方法进行了基准测试，该系统中的相互作用玻色子在不同晶格几何形状中受到 Floquet 工程磁场的影响。其中目标 Floquet 状态的油藏工程是可能的，并且可以通过有效的与时间无关的主方程准确描述。我们成功地对我们的基态制备方法进行了基准测试，该系统中的相互作用玻色子在不同晶格几何形状中受到 Floquet 工程磁场的影响。

更新日期：2022-12-01

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