Quantum Physics

    

Dynamics of R\'enyi Entanglement Entropy in Diffusive Qudit Systems

Authors: Yichen Huang

My previous work [arXiv:1902.00977] studied the dynamics of R\'enyi entanglement entropy $R_\alpha$ in local quantum circuits with charge conservation. Initializing the system in a random product state, it was proved that $R_\alpha$ with R\'enyi index $\alpha>1$ grows no faster than ``diffusively'' (up to a sublogarithmic correction) if charge transport is not faster than diffusive. The proof was given only for qubit or spin-$1/2$ systems. In this note, I extend the proof to qudit systems, i.e., spin systems with local dimension $d\ge2$.

Comments: Pages. v2: title changed and abstract expanded. IOP SciNotes 1 (3), 035205, 2020. https://doi.org/10.1088/2633-1357/abd1e2

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Submission history

[v1] 2020-07-28 11:09:53
[v2] 2021-01-15 16:24:51

Unique-IP document downloads: 308 times

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