Building on our previous work [Phys. Rev. Lett. 123, 140602] that explains the mechanism behind the dynamical detection of quantum phases via out-of-time-order correlators (OTOCs) at zero temperature, here we ask whether OTOCs could capture quantum order of the ground state at infinite temperature. Although the common intuition dictates that low energy quantum effects should be washed away by strong thermal fluctuations at high temperatures, in particular in nonintegrable systems that can host quantum chaos, we show that protection of quantum information against information scrambling at infinite temperature is possible under Ising (Z2) symmetry in the transverse-field Ising (Kitaev) 1D Hamiltonians. By utilizing Majorana basis, we demonstrate that the infinite-temperature OTOCs of edge observables probe zero-temperature quantum phases via detecting the presence of Majorana zero modes at the ends of the chain that is associated with 1D Z2 topological order. Therefore, we establish a connection between information scrambling and topological order which leads to a new phenomenon in the scrambling of nonintegrable models: topological order induced prescrambling that introduces a new timescale for the OTOC restricted from decaying for long times. In the prescrambling regime, OTOC demonstrates a well-defined plateau that encodes quantum order, paralleling the prethermalization of two-time correlators.

Topologically induced prescrambling of out-of-time-order correlators

QCQS-2: Quantum Computing and Quantum Simulation

technical paper

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Quantum 2020

The Institute of Physics and IOP Publishing, in partnership with the Chinese Physical Society (CPS) and the University of Science and Technology of China (USTC) are proud to have brought together the international quantum science community online for this inaugural conference.

Early career and leading researchers from universities, industry and government worldwide came together to share, learn and collaborate on the latest research and emerging areas of high interest across quantum science and technology. 

Luming Duan

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Presentations

Topologically induced prescrambling of out-of-time-order correlators