Many-Body Non-Hermitian Skin Effect with Exact Steady States in the Dissipative Quantum Link Model

Authors:
Open Access
Publisher website
Google Scholar
Abstract
We introduce a dissipative lattice gauge model that exhibits the many-body version of the non-Hermitian skin effect. The dissipative couplings between dynamical gauge fields on the lattice links and the surrounding environment generate chiral motions of particles residing on lattice sites. Despite the complexity arising from many-body interactions, the local gauge symmetry enables the exact construction of a steady state that displays the many-body non-Hermitian skin effect. Furthermore, our approach can be generalized to realize a new type of many-body non-Hermitian skin effect, dubbed the hierarchical skin effect, where different subsystem degrees of freedom exhibit boundary accumulation of multiple moments at different orders. Our findings can be readily observed by engineering dissipation in state-of-the-art lattice gauge simulators.
Funding Information
  • National Natural Science Foundation of China (12125405)
  • National Key Research and Development Program of China (2023YFA1406702)
  • National Science and Technology Major Project (2021ZD0302502)
  • National Science Foundation (DMR-2141966)
  • National Science Foundation (DMR-2011750)
  • Gordon and Betty Moore Foundation (GBMF8685)

This publication has 121 references indexed in Scilit: