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Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators

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Published on: May 30, 2014

Probing Operator Spreading via Floquet Engineering in a Superconducting Circuit.

S K Zhao^1,2,3, Zi-Yong Ge^1,2, 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.

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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.