Information scrambling in quantum-walks
- URL: http://arxiv.org/abs/2406.05865v1
- Date: Sun, 9 Jun 2024 17:38:50 GMT
- Title: Information scrambling in quantum-walks
- Authors: Himanshu Sahu,
- Abstract summary: We study information scrambling in discrete-time quantum walks.
We consider out-of-time-ordered correlators (OTOC) and K-complexity as probe of information scrambling.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We study information scrambling -- a spread of initially localized quantum information into the system's many degree of freedom -- in discrete-time quantum walks. We consider out-of-time-ordered correlators (OTOC) and K-complexity as probe of information scrambling. The OTOC for local spin operators in all directions has a light-cone structure which is ``shell-like''. As the wavefront passes, the OTOC approaches to zero in the long-time limit, showing no signature of scrambling. The introduction of spatial or temporal disorder changes the shape of the light-cone akin to localization of wavefuction. We formulate the K-complexity in system with discrete-time evolution, and show that it grows linearly in discrete-time quantum walk. The presence of disorder modifies this growth to sub-linear. Our study present interesting case to explore many-body phenomenon in discrete-time quantum walk using scrambling.
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