利用通量驱动的transmon对玻色子和任意子模型进行模拟量子模拟
Analog quantum simulation of bosonic and anyonic models with flux-driven transmons
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中文总结 AI 辅助
本研究提出通用协议，利用电容耦合通量可调transmon晶格模拟玻色-哈伯德与任意子-哈伯德模型，经数值模拟验证可再现目标模型特征动力学。
中文摘要 AI 辅助
当量子粒子发生相互作用时，会涌现出难以通过经典模拟的多体现象。量子模拟提供了一种替代方案，其中目标系统的动力学可直接在可控量子硬件中实现。本文提出了一种通用协议，用于利用电容耦合的通量可调transmon晶格模拟玻色-哈伯德模型和任意子-哈伯德模型。通过以交替模式调制transmon频率，我们可共振驱动多个多体跃迁，并能调节每个格点最多3个玻色子的 onsite 相互作用和密度相关的跳跃振幅，且对总粒子数无额外限制。通过向调制添加相位使跃迁振幅取复数值，我们提出了首个利用transmon模拟任意子-哈伯德模型的协议。对具有实验实际参数的驱动transmon阵列的数值模拟，在一系列相互作用强度和统计相位范围内再现了目标模型的特征动力学，包括与相互作用相关的局域化以及与统计相关的任意子量子行走的不对称性。
英文摘要
When quantum particles interact, many-body phenomena that are hard to simulate classically emerge. Quantum analog simulation offers an alternative in which the target system's dynamics is directly realized in controllable quantum hardware. Here, we give a general protocol for simulating the Bose-Hubbard and anyon-Hubbard models using lattices of capacitively coupled flux-tunable transmons. By modulating the transmon frequencies in an alternating pattern, we resonantly drive multiple many-body transitions and can tune the on-site interaction and density-dependent hopping amplitudes for up to three bosons per site, with no additional restriction on the total particle number. By adding phases to the modulation, which renders the transition amplitudes complex-valued, we propose the first simulation protocol for the anyon-Hubbard model with transmons. Numerical simulations of the driven transmon arrays with experimentally realistic parameters reproduce the characteristic dynamics of the target models across a range of interaction strengths and statistical phases, including the interaction-dependent localization and the statistics-dependent asymmetry of the anyonic quantum walk.
发表机构
- Chalmers University of Technology（查尔姆斯理工大学）
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