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Probing Operator Spreading via Floquet Engineering in a Superconducting Circuit
S K Zhao1,2,3, Zi-Yong Ge1,2, Zhongcheng Xiang1
1Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China.
Physical Review Letters
|October 28, 2022
Summary
Researchers used Floquet engineering in a 10-qubit superconducting chain to measure operator spreading via out-of-time-order correlators (OTOCs). This method successfully demonstrated quantum walks and observed light-cone-like operator propagation, revealing information scrambling signatures.
Area of Science:
- Quantum Many-Body Physics
- Quantum Information Science
Background:
- Operator spreading, quantified by out-of-time-order correlators (OTOCs), is crucial for understanding quantum many-body systems.
- Experimental measurement of OTOCs is challenging due to the need for time-reversal protocols.
Purpose of the Study:
- To investigate operator spreading and information scrambling in a superconducting qubit chain.
- To demonstrate the utility of Floquet engineering for measuring OTOCs and simulating quantum dynamics.
Main Methods:
- Utilized Floquet engineering on a 10-qubit superconducting chain to control qubit couplings.
- Implemented reversed time evolution protocols to enable OTOC measurements.
- Observed operator propagation patterns and analyzed OTOCs for different operators.
Main Results:
- Demonstrated quantum walks with tunable couplings and reversed time evolution.
- Observed clear light-cone-like operator propagation with velocities comparable to single-particle quantum walks.
- Showcased distinct OTOC behaviors for nonlocal (butterfly) and local operators, indicating information scrambling in near-integrable regimes.
Conclusions:
- Floquet engineering provides an effective platform for studying quantum dynamics and measuring OTOCs in many-body systems.
- The experimental setup allows for the observation of fundamental quantum phenomena like operator spreading and information scrambling.
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