Liouvillian skin effect in the presence of a linear potential
Phys. Rev. A 114, 052207 – Published 6 November, 2026
DOI: https://doi.org/10.1103/rt2z-jvdj
Abstract
We investigate how a linear potential alters the Liouvillian skin effect in an open quantum system. We show that the Liouvillian skin effect is robust against a weak linear potential, and its direction can be reversed when the orientation and strength of the potential are chosen properly. The critical strength of the potential for this direction-reversal transition increases with the Liouvillian gap of the unperturbed system, and it is accompanied by the Liouvillian gap closing. In addition, a qualitative explanation for the Liouvillian-skin-effect reversal is provided from the dynamical evolution. Our findings may be useful for the manipulation of the Liouvillian skin effect in open quantum systems.
