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arXiv 1406.1817quant-phcond-mat.mes-hall
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人工自旋1/2系统中拓扑跃迁的测量

Measuring a topological transition in an artificial spin 1/2 system

M. D. Schroer, M. H. Kolodrubetz, W. F. Kindel, M. Sandberg, J. Gao, M. R. Vissers, D. P. Pappas, Anatoli Polkovnikov, K. W. Lehnert

摘要:

我们提出了测量的拓扑性质,陈数($C_\mathrm{1}$),一个封闭的流形中的两个能级系统的哈密顿空间,其中的两个能级系统是由超导量子比特形成。我们沿着流形中的路径操纵超导量子比特的哈密顿量的参数,并从量子比特的非超导响应中提取$C_\mathrm{1}$。通过调整流形,使哈密顿量的简并从流形内部传递到流形外部,我们观察到拓扑转变$C_\mathrm{1} = 1 \rightarrow 0$。我们对$C_\mathrm{1}$的测量在跃迁的两侧被量化到2%以内。

英文摘要:

We present measurements of a topological property, the Chern number ($C_\mathrm{1}$), of a closed manifold in the space of two-level system Hamiltonians, where the two-level system is formed from a superconducting qubit. We manipulate the parameters of the Hamiltonian of the superconducting qubit along paths in the manifold and extract $C_\mathrm{1}$ from the nonadiabitic response of the qubit. By adjusting the manifold such that a degeneracy in the Hamiltonian passes from inside to outside the manifold, we observe a topological transition $C_\mathrm{1} = 1 \rightarrow 0$. Our measurement of $C_\mathrm{1}$ is quantized to within 2 percent on either side of the transition.

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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