# Liouvillian Skin Effect: Slowing Down of Relaxation Processes without Gap Closing.

@article{Haga2020LiouvillianSE, title={Liouvillian Skin Effect: Slowing Down of Relaxation Processes without Gap Closing.}, author={Taiki Haga and Masaya Nakagawa and Ryusuke Hamazaki and Masahito Ueda}, journal={Physical review letters}, year={2020}, volume={127 7}, pages={ 070402 } }

It is highly nontrivial to what extent we can deduce the relaxation behavior of a quantum dissipative system from the spectral gap of the Liouvillian that governs the time evolution of the density matrix. We investigate the relaxation processes of a quantum dissipative system that exhibits the Liouvillian skin effect, which means that the eigenmodes of the Liouvillian are localized exponentially close to the boundary of the system, and find that the timescale for the system to reach a steady…

## 37 Citations

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