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Dynamics of R\'enyi entanglement entropy in diffusive qudit systems · Around

2020

Dynamics of R\'enyi entanglement entropy in diffusive qudit systems

Huang, Yichen

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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 $d\ge2$.

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Dynamics of Renyi entanglement entropy in local quantum circuits with charge conservation
Original
Y. Huang · 1902
Earlier work this paper cites.
The approximation of one matrix by another of lower rank
C. Eckart and G. Young · 1936
Earlier work this paper cites.
Entanglement growth in diffusive systems
Original
M. Žnidarič · 2008
Earlier work this paper cites.

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