Information Scrambling in Bosonic Gaussian Dynamics

• URL: http://arxiv.org/abs/2408.12089v1
• Date: Thu, 22 Aug 2024 02:57:25 GMT
• Title: Information Scrambling in Bosonic Gaussian Dynamics
• Authors: Ali Mollabashi, Saleh Rahimi-Keshari,
• Abstract summary: randomness in quadratic Hamiltonians for multimode bosonic systems results in certain information scrambling diagnostics. We observe the disappearance of the memory effect in entanglement dynamics and the negative value of tripartite mutual information.
• Score: 0.0
• License: http://creativecommons.org/licenses/by-nc-sa/4.0/
• Abstract: We show that randomness in quadratic Hamiltonians for multimode bosonic systems results in certain information scrambling diagnostics, mirroring those seen in chaotic systems. Specifically, considering initial Gaussian states, we observe the disappearance of the memory effect in entanglement dynamics and the negative value of tripartite mutual information. However, in contrast to chaotic systems, we find that the spectral form factor exhibits a non-linear ramp and the out-of-time-ordered correlators display a power law growth. These results show that information scrambling, associated with randomness, is a distinct feature from quantum chaos. Moreover, our results provide insight into the dynamics of Gaussian states of continuous-variable systems that are useful and available resources for quantum information processing.

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