Experimental Measurement of the Quantum Metric Tensor and Related Topological Phase Transition with a Superconducting Qubit
Xinsheng Tan, Dan-Wei Zhang, Zhen Yang, Ji Chu, Yan-Qing Zhu, Danyu Li, Xiaopei Yang, Shuqing Song, Zhikun Han, Zhiyuan Li, Yuqian Dong, Hai-Feng Yu, Hui Yan, Shi-Liang Zhu, Yang Yu
DOI 10.1103/PhysRevLett.122.210401 · Physical Review Letters
Active bibliographic source — not scientific approval
Bibliographic access preserves source history; it does not approve extracted materials or validate reported claims. Review warnings on each occurrence separately.
Abstract
A Berry curvature is an imaginary component of the quantum geometric tensor (QGT) and is well studied in many branches of modern physics; however, the quantum metric as a real component of the QGT is less explored. Here, by using tunable superconducting circuits, we experimentally demonstrate two methods to directly measure the quantum metric tensor for characterizing the geometry and topology of underlying quantum states in parameter space. The first method is to probe the transition probability after a sudden quench, and the second one is to detect the excitation rate under weak periodic driving. Furthermore, based on quantum metric and Berry-curvature measurements, we explore a topological phase transition in a simulated time-reversal-symmetric system. The work opens up a unique approach to explore the topology of quantum states with the QGT.
Similar papers
Effective-mass tensor of the two-body bound states and the quantum-metric tensor of the underlying Bloch states
similarity 0.91M. Iskin · 2021 · arXiv:2109.06000
Source status unknown — claims are unverified
Ground-state quantum geometry in superconductor–quantum dot chains
similarity 0.88R. L. Klees et al.
Source status unknown — claims are unverified
Microwave Spectroscopy Reveals the Quantum Geometric Tensor of Topological Josephson Matter
similarity 0.88R. L. Klees et al.
Source status unknown — claims are unverified
Topological excitations and bound photon pairs in a superconducting quantum metamaterial
similarity 0.88Ilya S. Besedin et al.
Source status unknown — claims are unverified
Detecting non-Abelian statistics of topological states on a chain of superconducting circuits
similarity 0.88Jun-Yi Cao et al.
Source status unknown — claims are unverified
Implementation of adiabatic Abelian geometric gates with superconducting phase qubits
similarity 0.88Z. H. Peng et al. · 2006 · arXiv:quant-ph/0610120
Source status unknown — claims are unverified