2019/04/30 by Fei Song, Shunyu Yao, Zhong Wang · 3 citations
Physics and Astronomy · #cond-mat.quant-gas #cond-mat.mes-hall #cond-mat.str-el #physics.optics
paper · pdf · doi:10.1103/physrevlett.123.170401
published as Phys. Rev. Lett. 123, 170401 (2019) · 9 pages, 4 figures, including supplemental material
arxiv created 2019/10/31 · arxiv updated 2019/11/01
One of the unique features of non-Hermitian Hamiltonians is the non-Hermitian skin effect, namely that the eigenstates are exponentially localized at the boundary of the system. For open quantum systems, a short-time evolution can often be well described by the effective non-Hermitian Hamiltonians, while long-time dynamics calls for the Lindblad master equations, in which the Liouvillian superoperators generate time evolution. In this Letter, we find that Liouvillian superoperators can exhibit the non-Hermitian skin effect, and uncover its unexpected physical consequences. It is shown that the non-Hermitian skin effect dramatically shapes the long-time dynamics, such that the damping in a class of open quantum systems is algebraic under periodic boundary condition but exponential under open boundary condition. Moreover, the non-Hermitian skin effect and non-Bloch bands cause a chiral damping with a sharp wavefront. These phenomena are beyond the effective non-Hermitian Hamiltonians; instead, they belong to the non-Hermitian physics of full-fledged open quantum dynamics.